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                <?php  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                namespace Oefenweb\Statistics\Test;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                use Oefenweb\Statistics\Statistics;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                use PHPUnit\Framework\TestCase;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                class StatisticsTest extends TestCase  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    /**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     * Tests `sum`.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     *  Integer values.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     * @return void  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    public function testSumIntegers()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        $values = [1, 2, 3, 4, 4];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        $result = Statistics::sum($values);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        $expected = 14;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        $this->assertSame($expected, $result);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    /**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     * Tests `sum`.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     *  Float values.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     * @return void  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    public function testSum()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        $values = [-1.0, 2.5, 3.25, 5.75];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        $result = Statistics::sum($values);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        $expected = 10.5;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        $this->assertSame($expected, $result);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    /**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     * Tests `sum`.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     *  Mixed values.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     * @return void  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    public function testSumMixed()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        $values = [-2, 2.5, 3.25, 5.75, 0];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        $result = Statistics::sum($values);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        $expected = 9.5;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        $this->assertSame($expected, $result);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    /**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     * Tests `min`.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     *  Integer values.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     * @return void  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    public function testMinIntegers()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        $values = [1, 2, 3, 4, 4];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        $result = Statistics::min($values);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        $expected = 1;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        $this->assertSame($expected, $result);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    /**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     * Test for `min`.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     *  Float values.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     * @return void  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    public function testMinIntegersFloats()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        $values = [-1.0, 2.5, 3.25, 5.75];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        $result = Statistics::min($values);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        $expected = -1.0;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        $this->assertSame($expected, $result);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    /**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     * Tests `max`.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     *  Integer values.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     * @return void  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    public function testMaxIntegers()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        $values = [1, 2, 3, 4, 4];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        $result = Statistics::max($values);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        $expected = 4;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        $this->assertSame($expected, $result);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    /**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     * Tests `max`.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     *  Float values.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     * @return void  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    public function testMaxFloats()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        $values = [-1.0, 2.5, 3.25, 5.75];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        $result = Statistics::max($values);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        $expected = 5.75;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        $this->assertSame($expected, $result);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    /**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     * Tests `mean`.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     *  Integer values.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     * @return void  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    public function testMeanIntegers()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        $values = [1, 2, 3, 4, 4];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        $result = Statistics::mean($values);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        $expected = 2.8;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    142
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                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    143
                 | 
                                    
                                                     | 
                
                 | 
                        $this->assertSame($expected, $result);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    144
                 | 
                                    
                                                     | 
                
                 | 
                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    145
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    146
                 | 
                                    
                                                     | 
                
                 | 
                    /**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    147
                 | 
                                    
                                                     | 
                
                 | 
                     * Tests `mean`.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    148
                 | 
                                    
                                                     | 
                
                 | 
                     *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    149
                 | 
                                    
                                                     | 
                
                 | 
                     *  Float values.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    150
                 | 
                                    
                                                     | 
                
                 | 
                     *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    151
                 | 
                                    
                                                     | 
                
                 | 
                     * @return void  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    152
                 | 
                                    
                                                     | 
                
                 | 
                     */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    153
                 | 
                                    
                                                     | 
                
                 | 
                    public function testMeanFloats()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    154
                 | 
                                    
                                                     | 
                
                 | 
                    { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    155
                 | 
                                    
                                                     | 
                
                 | 
                        $values = [-1.0, 2.5, 3.25, 5.75];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    156
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    157
                 | 
                                    
                                                     | 
                
                 | 
                        $result = Statistics::mean($values);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    158
                 | 
                                    
                                                     | 
                
                 | 
                        $expected = 2.625;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    159
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    160
                 | 
                                    
                                                     | 
                
                 | 
                        $this->assertSame($expected, $result);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    161
                 | 
                                    
                                                     | 
                
                 | 
                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    162
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    163
                 | 
                                    
                                                     | 
                
                 | 
                    /**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    164
                 | 
                                    
                                                     | 
                
                 | 
                     * Tests `mean`.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    165
                 | 
                                    
                                                     | 
                
                 | 
                     *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    166
                 | 
                                    
                                                     | 
                
                 | 
                     *  Mixed values.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    167
                 | 
                                    
                                                     | 
                
                 | 
                     *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    168
                 | 
                                    
                                                     | 
                
                 | 
                     * @return void  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    169
                 | 
                                    
                                                     | 
                
                 | 
                     */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    170
                 | 
                                    
                                                     | 
                
                 | 
                    public function testMeanMixed()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    171
                 | 
                                    
                                                     | 
                
                 | 
                    { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    172
                 | 
                                    
                                                     | 
                
                 | 
                        $values = [-2, 2.5, 3.25, 5.75, 0];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    173
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    174
                 | 
                                    
                                                     | 
                
                 | 
                        $result = Statistics::mean($values);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    175
                 | 
                                    
                                                     | 
                
                 | 
                        $expected = 1.9;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    176
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    177
                 | 
                                    
                                                     | 
                
                 | 
                        $this->assertSame($expected, $result);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    178
                 | 
                                    
                                                     | 
                
                 | 
                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    179
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    180
                 | 
                                    
                                                     | 
                
                 | 
                    /**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    181
                 | 
                                    
                                                     | 
                
                 | 
                     * Tests `frequency`.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    182
                 | 
                                    
                                                     | 
                
                 | 
                     *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    183
                 | 
                                    
                                                     | 
                
                 | 
                     *  Integer values.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    184
                 | 
                                    
                                                     | 
                
                 | 
                     *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    185
                 | 
                                    
                                                     | 
                
                 | 
                     * @return void  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    186
                 | 
                                    
                                                     | 
                
                 | 
                     */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    187
                 | 
                                    
                                                     | 
                
                 | 
                    public function testFrequencyIntegers()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    188
                 | 
                                    
                                                     | 
                
                 | 
                    { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    189
                 | 
                                    
                                                     | 
                
                 | 
                        $values = [1, 1, 2, 3, 3, 3, 3, 4];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    190
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    191
                 | 
                                    
                                                     | 
                
                 | 
                        $result = Statistics::frequency($values);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    192
                 | 
                                    
                                                     | 
                
                 | 
                        $expected = [  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    193
                 | 
                                    
                                                     | 
                
                 | 
                            4 => 1,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    194
                 | 
                                    
                                                     | 
                
                 | 
                            2 => 1,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    195
                 | 
                                    
                                                     | 
                
                 | 
                            1 => 2,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    196
                 | 
                                    
                                                     | 
                
                 | 
                            3 => 4,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    197
                 | 
                                    
                                                     | 
                
                 | 
                        ];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    198
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    199
                 | 
                                    
                                                     | 
                
                 | 
                        $this->assertEquals($expected, $result);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    200
                 | 
                                    
                                                     | 
                
                 | 
                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    201
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    202
                 | 
                                    
                                                     | 
                
                 | 
                    /**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    203
                 | 
                                    
                                                     | 
                
                 | 
                     * Tests `frequency`.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    204
                 | 
                                    
                                                     | 
                
                 | 
                     *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    205
                 | 
                                    
                                                     | 
                
                 | 
                     *  Float values.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    206
                 | 
                                    
                                                     | 
                
                 | 
                     *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    207
                 | 
                                    
                                                     | 
                
                 | 
                     * @return void  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    208
                 | 
                                    
                                                     | 
                
                 | 
                     */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    209
                 | 
                                    
                                                     | 
                
                 | 
                    public function testFrequencyFloats()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    210
                 | 
                                    
                                                     | 
                
                 | 
                    { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    211
                 | 
                                    
                                                     | 
                
                 | 
                        $values = [1, 3, 6, 6, 6, 6, 7.12, 7.12, 12, 12, 17];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    212
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    213
                 | 
                                    
                                                     | 
                
                 | 
                        $result = Statistics::frequency($values);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    214
                 | 
                                    
                                                     | 
                
                 | 
                        $expected = [  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    215
                 | 
                                    
                                                     | 
                
                 | 
                            17 => 1,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    216
                 | 
                                    
                                                     | 
                
                 | 
                            1 => 1,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    217
                 | 
                                    
                                                     | 
                
                 | 
                            3 => 1,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    218
                 | 
                                    
                                                     | 
                
                 | 
                            12 => 2,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    219
                 | 
                                    
                                                     | 
                
                 | 
                            '7.12' => 2,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    220
                 | 
                                    
                                                     | 
                
                 | 
                            6 => 4,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    221
                 | 
                                    
                                                     | 
                
                 | 
                        ];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    222
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    223
                 | 
                                    
                                                     | 
                
                 | 
                        $this->assertEquals($expected, $result);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    224
                 | 
                                    
                                                     | 
                
                 | 
                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    225
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    226
                 | 
                                    
                                                     | 
                
                 | 
                    /**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    227
                 | 
                                    
                                                     | 
                
                 | 
                     * Tests `frequency`.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    228
                 | 
                                    
                                                     | 
                
                 | 
                     *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    229
                 | 
                                    
                                                     | 
                
                 | 
                     *  String values.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    230
                 | 
                                    
                                                     | 
                
                 | 
                     *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    231
                 | 
                                    
                                                     | 
                
                 | 
                     * @return void  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    232
                 | 
                                    
                                                     | 
                
                 | 
                     */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    233
                 | 
                                    
                                                     | 
                
                 | 
                    public function testFrequencyStrings()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    234
                 | 
                                    
                                                     | 
                
                 | 
                    { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    235
                 | 
                                    
                                                     | 
                
                 | 
                        $values = ['red', 'blue', 'blue', 'red', 'green', 'red', 'red'];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    236
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    237
                 | 
                                    
                                                     | 
                
                 | 
                        $result = Statistics::frequency($values);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    238
                 | 
                                    
                                                     | 
                
                 | 
                        $expected = [  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    239
                 | 
                                    
                                                     | 
                
                 | 
                            'green' => 1,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    240
                 | 
                                    
                                                     | 
                
                 | 
                            'blue' => 2,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    241
                 | 
                                    
                                                     | 
                
                 | 
                            'red' => 4,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    242
                 | 
                                    
                                                     | 
                
                 | 
                        ];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    243
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    244
                 | 
                                    
                                                     | 
                
                 | 
                        $this->assertEquals($expected, $result);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    245
                 | 
                                    
                                                     | 
                
                 | 
                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    246
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    247
                 | 
                                    
                                                     | 
                
                 | 
                    /**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    248
                 | 
                                    
                                                     | 
                
                 | 
                     * Tests `mode`.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    249
                 | 
                                    
                                                     | 
                
                 | 
                     *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    250
                 | 
                                    
                                                     | 
                
                 | 
                     *  Integer values.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    251
                 | 
                                    
                                                     | 
                
                 | 
                     *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    252
                 | 
                                    
                                                     | 
                
                 | 
                     * @return void  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    253
                 | 
                                    
                                                     | 
                
                 | 
                     */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    254
                 | 
                                    
                                                     | 
                
                 | 
                    public function testModeIntegers()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    255
                 | 
                                    
                                                     | 
                
                 | 
                    { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    256
                 | 
                                    
                                                     | 
                
                 | 
                        $values = [3];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    257
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    258
                 | 
                                    
                                                     | 
                
                 | 
                        $result = Statistics::mode($values);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    259
                 | 
                                    
                                                     | 
                
                 | 
                        $expected = 3;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    260
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    261
                 | 
                                    
                                                     | 
                
                 | 
                        $this->assertSame($expected, $result);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    262
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    263
                 | 
                                    
                                                     | 
                
                 | 
                        $values = [1, 1, 2, 3, 3, 3, 3, 4];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    264
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    265
                 | 
                                    
                                                     | 
                
                 | 
                        $result = Statistics::mode($values);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    266
                 | 
                                    
                                                     | 
                
                 | 
                        $expected = 3;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    267
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    268
                 | 
                                    
                                                     | 
                
                 | 
                        $this->assertSame($expected, $result);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    269
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    270
                 | 
                                    
                                                     | 
                
                 | 
                        $values = [1, 3, 6, 6, 6, 6, 7, 7, 12, 12, 17];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    271
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    272
                 | 
                                    
                                                     | 
                
                 | 
                        $result = Statistics::mode($values);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    273
                 | 
                                    
                                                     | 
                
                 | 
                        $expected = 6;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    274
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    275
                 | 
                                    
                                                     | 
                
                 | 
                        $this->assertSame($expected, $result);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    276
                 | 
                                    
                                                     | 
                
                 | 
                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    277
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    278
                 | 
                                    
                                                     | 
                
                 | 
                    /**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    279
                 | 
                                    
                                                     | 
                
                 | 
                     * Tests `mode`.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    280
                 | 
                                    
                                                     | 
                
                 | 
                     *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    281
                 | 
                                    
                                                     | 
                
                 | 
                     *  String values.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    282
                 | 
                                    
                                                     | 
                
                 | 
                     *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    283
                 | 
                                    
                                                     | 
                
                 | 
                     * @return void  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    284
                 | 
                                    
                                                     | 
                
                 | 
                     */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    285
                 | 
                                    
                                                     | 
                
                 | 
                    public function testModeStrings()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    286
                 | 
                                    
                                                     | 
                
                 | 
                    { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    287
                 | 
                                    
                                                     | 
                
                 | 
                        $values = ['red', 'blue', 'blue', 'red', 'green', 'red', 'red'];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    288
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    289
                 | 
                                    
                                                     | 
                
                 | 
                        $result = Statistics::mode($values);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    290
                 | 
                                    
                                                     | 
                
                 | 
                        $expected = 'red';  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    291
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    292
                 | 
                                    
                                                     | 
                
                 | 
                        $this->assertSame($expected, $result);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    293
                 | 
                                    
                                                     | 
                
                 | 
                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    294
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    295
                 | 
                                    
                                                     | 
                
                 | 
                    /**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    296
                 | 
                                    
                                                     | 
                
                 | 
                     * Tests `mode`.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    297
                 | 
                                    
                                                     | 
                
                 | 
                     *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    298
                 | 
                                    
                                                     | 
                
                 | 
                     * @return void  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    299
                 | 
                                    
                                                     | 
                
                 | 
                     * @expectedException \Oefenweb\Statistics\StatisticsError  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    300
                 | 
                                    
                                                     | 
                
                 | 
                     */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    301
                 | 
                                    
                                                     | 
                
                 | 
                    public function testModeNotExactlyOne()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    302
                 | 
                                    
                                                     | 
                
                 | 
                    { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    303
                 | 
                                    
                                                     | 
                
                 | 
                        $values = [1, 1, 2, 4, 4];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    304
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    305
                 | 
                                    
                                                     | 
                
                 | 
                        Statistics::mode($values);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    306
                 | 
                                    
                                                     | 
                
                 | 
                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    307
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    308
                 | 
                                    
                                                     | 
                
                 | 
                    /**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    309
                 | 
                                    
                                                     | 
                
                 | 
                     * Tests `variance`.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    310
                 | 
                                    
                                                     | 
                
                 | 
                     *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    311
                 | 
                                    
                                                     | 
                
                 | 
                     *  Sample (default), integer values.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    312
                 | 
                                    
                                                     | 
                
                 | 
                     *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    313
                 | 
                                    
                                                     | 
                
                 | 
                     * @return void  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    314
                 | 
                                    
                                                     | 
                
                 | 
                     */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    315
                 | 
                                    
                                                     | 
                
                 | 
                    public function testVarianceSampleIntegers()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    316
                 | 
                                    
                                                     | 
                
                 | 
                    { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    317
                 | 
                                    
                                                     | 
                
                 | 
                        $values = [2, 4, 4, 4, 5, 5, 7, 9];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    318
                 | 
                                    
                                                     | 
                
                 | 
                        $sample = true;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    319
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    320
                 | 
                                    
                                                     | 
                
                 | 
                        $result = Statistics::variance($values, $sample);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    321
                 | 
                                    
                                                     | 
                
                 | 
                        $expected = 4.571429;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    322
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    323
                 | 
                                    
                                                     | 
                
                 | 
                        $this->assertEquals($expected, $result, '', pow(10, -4));  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    324
                 | 
                                    
                                                     | 
                
                 | 
                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    325
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    326
                 | 
                                    
                                                     | 
                
                 | 
                    /**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    327
                 | 
                                    
                                                     | 
                
                 | 
                     * Tests `variance`.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    328
                 | 
                                    
                                                     | 
                
                 | 
                     *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    329
                 | 
                                    
                                                     | 
                
                 | 
                     *  Sample (default), float values.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    330
                 | 
                                    
                                                     | 
                
                 | 
                     *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    331
                 | 
                                    
                                                     | 
                
                 | 
                     * @return void  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    332
                 | 
                                    
                                                     | 
                
                 | 
                     */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    333
                 | 
                                    
                                                     | 
                
                 | 
                    public function testVarianceSampleFloats()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    334
                 | 
                                    
                                                     | 
                
                 | 
                    { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    335
                 | 
                                    
                                                     | 
                
                 | 
                        $values = [0.0, 0.25, 0.25, 1.25, 1.5, 1.75, 2.75, 3.25];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    336
                 | 
                                    
                                                     | 
                
                 | 
                        $sample = true;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    337
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    338
                 | 
                                    
                                                     | 
                
                 | 
                        $result = Statistics::variance($values, $sample);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    339
                 | 
                                    
                                                     | 
                
                 | 
                        $expected = 1.428571;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    340
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    341
                 | 
                                    
                                                     | 
                
                 | 
                        $this->assertEquals($expected, $result, '', pow(10, -4));  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    342
                 | 
                                    
                                                     | 
                
                 | 
                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    343
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    344
                 | 
                                    
                                                     | 
                
                 | 
                    /**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    345
                 | 
                                    
                                                     | 
                
                 | 
                     * Tests `variance`.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    346
                 | 
                                    
                                                     | 
                
                 | 
                     *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    347
                 | 
                                    
                                                     | 
                
                 | 
                     *  Population, integer values.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    348
                 | 
                                    
                                                     | 
                
                 | 
                     *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    349
                 | 
                                    
                                                     | 
                
                 | 
                     * @return void  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    350
                 | 
                                    
                                                     | 
                
                 | 
                     */  | 
            
            
                                                                                                            
                            
            
                                                                    
                                                                                                        
            
            
                | 
                    351
                 | 
                                    
                                                     | 
                
                View Code Duplication | 
                    public function testVariancePopulationIntegers()  | 
            
                            
                    | 
                        
                     | 
                     | 
                     | 
                    
                                                                                                    
                        
                         
                                                                                        
                                                                                     
                     | 
                
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    352
                 | 
                                    
                                                     | 
                
                 | 
                    { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    353
                 | 
                                    
                                                     | 
                
                 | 
                        $values = [2, 4, 4, 4, 5, 5, 7, 9];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    354
                 | 
                                    
                                                     | 
                
                 | 
                        $sample = false;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    355
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    356
                 | 
                                    
                                                     | 
                
                 | 
                        $result = Statistics::variance($values, $sample);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    357
                 | 
                                    
                                                     | 
                
                 | 
                        $expected = 4;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    358
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    359
                 | 
                                    
                                                     | 
                
                 | 
                        $this->assertSame($expected, $result);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    360
                 | 
                                    
                                                     | 
                
                 | 
                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    361
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    362
                 | 
                                    
                                                     | 
                
                 | 
                    /**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    363
                 | 
                                    
                                                     | 
                
                 | 
                     * Tests `variance`.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    364
                 | 
                                    
                                                     | 
                
                 | 
                     *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    365
                 | 
                                    
                                                     | 
                
                 | 
                     *  Population, float values.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    366
                 | 
                                    
                                                     | 
                
                 | 
                     *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    367
                 | 
                                    
                                                     | 
                
                 | 
                     * @return void  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    368
                 | 
                                    
                                                     | 
                
                 | 
                     */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    369
                 | 
                                    
                                                     | 
                
                 | 
                    public function testVariancePopulationFloats()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    370
                 | 
                                    
                                                     | 
                
                 | 
                    { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    371
                 | 
                                    
                                                     | 
                
                 | 
                        $values = [0.0, 0.25, 0.25, 1.25, 1.5, 1.75, 2.75, 3.25];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    372
                 | 
                                    
                                                     | 
                
                 | 
                        $sample = false;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    373
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    374
                 | 
                                    
                                                     | 
                
                 | 
                        $result = Statistics::variance($values, $sample);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    375
                 | 
                                    
                                                     | 
                
                 | 
                        $expected = 1.25;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    376
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    377
                 | 
                                    
                                                     | 
                
                 | 
                        $this->assertSame($expected, $result, '', pow(10, -4));  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    378
                 | 
                                    
                                                     | 
                
                 | 
                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    379
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    380
                 | 
                                    
                                                     | 
                
                 | 
                    /**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    381
                 | 
                                    
                                                     | 
                
                 | 
                     * Test `variance`  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    382
                 | 
                                    
                                                     | 
                
                 | 
                     *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    383
                 | 
                                    
                                                     | 
                
                 | 
                     * At least two data points.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    384
                 | 
                                    
                                                     | 
                
                 | 
                     *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    385
                 | 
                                    
                                                     | 
                
                 | 
                     * @return void  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    386
                 | 
                                    
                                                     | 
                
                 | 
                     * @expectedException \Oefenweb\Statistics\StatisticsError  | 
            
            
                                                                                                            
                                                                
            
                                    
            
            
                | 
                    387
                 | 
                                    
                                                     | 
                
                 | 
                     */  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    388
                 | 
                                    
                                                     | 
                
                 | 
                    public function testVarianceNotAtLeastTwo()  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    389
                 | 
                                    
                                                     | 
                
                 | 
                    { | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    390
                 | 
                                    
                                                     | 
                
                 | 
                        $values = [1];  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    391
                 | 
                                    
                                                     | 
                
                 | 
                        Statistics::variance($values);  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    392
                 | 
                                    
                                                     | 
                
                 | 
                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    393
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    394
                 | 
                                    
                                                     | 
                
                 | 
                    /**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    395
                 | 
                                    
                                                     | 
                
                 | 
                     * Tests `standardDeviation`.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    396
                 | 
                                    
                                                     | 
                
                 | 
                     *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    397
                 | 
                                    
                                                     | 
                
                 | 
                     *  Sample (default), integers values.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    398
                 | 
                                    
                                                     | 
                
                 | 
                     *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    399
                 | 
                                    
                                                     | 
                
                 | 
                     * @return void  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    400
                 | 
                                    
                                                     | 
                
                 | 
                     */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    401
                 | 
                                    
                                                     | 
                
                 | 
                    public function testStandardDeviationSampleIntegers()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    402
                 | 
                                    
                                                     | 
                
                 | 
                    { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    403
                 | 
                                    
                                                     | 
                
                 | 
                        $values = [2, 4, 4, 4, 5, 5, 7, 9];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    404
                 | 
                                    
                                                     | 
                
                 | 
                        $sample = true;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    405
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    406
                 | 
                                    
                                                     | 
                
                 | 
                        $result = Statistics::standardDeviation($values, $sample);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    407
                 | 
                                    
                                                     | 
                
                 | 
                        $expected = 2.13809;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    408
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    409
                 | 
                                    
                                                     | 
                
                 | 
                        $this->assertEquals($expected, $result, '', pow(10, -4));  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    410
                 | 
                                    
                                                     | 
                
                 | 
                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    411
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    412
                 | 
                                    
                                                     | 
                
                 | 
                    /**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    413
                 | 
                                    
                                                     | 
                
                 | 
                     * Tests `standardDeviation`.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    414
                 | 
                                    
                                                     | 
                
                 | 
                     *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    415
                 | 
                                    
                                                     | 
                
                 | 
                     *  Sample (default), float values.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    416
                 | 
                                    
                                                     | 
                
                 | 
                     *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    417
                 | 
                                    
                                                     | 
                
                 | 
                     * @return void  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    418
                 | 
                                    
                                                     | 
                
                 | 
                     */  | 
            
            
                                                                                                            
                            
            
                                                                    
                                                                                                        
            
            
                | 
                    419
                 | 
                                    
                                                     | 
                
                View Code Duplication | 
                    public function testStandardDeviationSampleFloats()  | 
            
                            
                    | 
                        
                     | 
                     | 
                     | 
                    
                                                                                                    
                        
                         
                                                                                        
                                                                                     
                     | 
                
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    420
                 | 
                                    
                                                     | 
                
                 | 
                    { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    421
                 | 
                                    
                                                     | 
                
                 | 
                        $values = [1.5, 2.5, 2.5, 2.75, 3.25, 4.75];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    422
                 | 
                                    
                                                     | 
                
                 | 
                        $sample = true;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    423
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    424
                 | 
                                    
                                                     | 
                
                 | 
                        $result = Statistics::standardDeviation($values, $sample);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    425
                 | 
                                    
                                                     | 
                
                 | 
                        $expected = 1.081087;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    426
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    427
                 | 
                                    
                                                     | 
                
                 | 
                        $this->assertEquals($expected, $result, '', pow(10, -4));  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    428
                 | 
                                    
                                                     | 
                
                 | 
                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    429
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    430
                 | 
                                    
                                                     | 
                
                 | 
                    /**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    431
                 | 
                                    
                                                     | 
                
                 | 
                     * Tests `standardDeviation`.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    432
                 | 
                                    
                                                     | 
                
                 | 
                     *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    433
                 | 
                                    
                                                     | 
                
                 | 
                     *  Population, integer values.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    434
                 | 
                                    
                                                     | 
                
                 | 
                     *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    435
                 | 
                                    
                                                     | 
                
                 | 
                     * @return void  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    436
                 | 
                                    
                                                     | 
                
                 | 
                     */  | 
            
            
                                                                                                            
                            
            
                                                                    
                                                                                                        
            
            
                | 
                    437
                 | 
                                    
                                                     | 
                
                View Code Duplication | 
                    public function testStandardDeviationPopulationIntegers()  | 
            
                            
                    | 
                        
                     | 
                     | 
                     | 
                    
                                                                                                    
                        
                         
                                                                                        
                                                                                     
                     | 
                
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    438
                 | 
                                    
                                                     | 
                
                 | 
                    { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    439
                 | 
                                    
                                                     | 
                
                 | 
                        $values = [2, 4, 4, 4, 5, 5, 7, 9];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    440
                 | 
                                    
                                                     | 
                
                 | 
                        $sample = false;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    441
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    442
                 | 
                                    
                                                     | 
                
                 | 
                        $result = Statistics::standardDeviation($values, $sample);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    443
                 | 
                                    
                                                     | 
                
                 | 
                        $expected = 2.0;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    444
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    445
                 | 
                                    
                                                     | 
                
                 | 
                        $this->assertSame($expected, $result);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    446
                 | 
                                    
                                                     | 
                
                 | 
                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    447
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    448
                 | 
                                    
                                                     | 
                
                 | 
                    /**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    449
                 | 
                                    
                                                     | 
                
                 | 
                     * Tests `standardDeviation`.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    450
                 | 
                                    
                                                     | 
                
                 | 
                     *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    451
                 | 
                                    
                                                     | 
                
                 | 
                     *  Population, floats values.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    452
                 | 
                                    
                                                     | 
                
                 | 
                     *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    453
                 | 
                                    
                                                     | 
                
                 | 
                     * @return void  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    454
                 | 
                                    
                                                     | 
                
                 | 
                     */  | 
            
            
                                                                                                            
                            
            
                                                                    
                                                                                                        
            
            
                | 
                    455
                 | 
                                    
                                                     | 
                
                View Code Duplication | 
                    public function testStandardDeviationPopulationFloats()  | 
            
                            
                    | 
                        
                     | 
                     | 
                     | 
                    
                                                                                                    
                        
                         
                                                                                        
                                                                                     
                     | 
                
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    456
                 | 
                                    
                                                     | 
                
                 | 
                    { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    457
                 | 
                                    
                                                     | 
                
                 | 
                        $values = [1.5, 2.5, 2.5, 2.75, 3.25, 4.75];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    458
                 | 
                                    
                                                     | 
                
                 | 
                        $sample = false;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    459
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    460
                 | 
                                    
                                                     | 
                
                 | 
                        $result = Statistics::standardDeviation($values, $sample);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    461
                 | 
                                    
                                                     | 
                
                 | 
                        $expected = 0.9868;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    462
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    463
                 | 
                                    
                                                     | 
                
                 | 
                        $this->assertEquals($expected, $result, '', pow(10, -4));  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    464
                 | 
                                    
                                                     | 
                
                 | 
                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    465
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    466
                 | 
                                    
                                                     | 
                
                 | 
                    /**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    467
                 | 
                                    
                                                     | 
                
                 | 
                     * Tests `range`.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    468
                 | 
                                    
                                                     | 
                
                 | 
                     *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    469
                 | 
                                    
                                                     | 
                
                 | 
                     *  (Unsigned) integer values.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    470
                 | 
                                    
                                                     | 
                
                 | 
                     *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    471
                 | 
                                    
                                                     | 
                
                 | 
                     * @return void  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    472
                 | 
                                    
                                                     | 
                
                 | 
                     */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    473
                 | 
                                    
                                                     | 
                
                 | 
                    public function testRangeIntUnsigned()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    474
                 | 
                                    
                                                     | 
                
                 | 
                    { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    475
                 | 
                                    
                                                     | 
                
                 | 
                        $values = [4, 6, 10, 15, 18];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    476
                 | 
                                    
                                                     | 
                
                 | 
                        $result = Statistics::range($values);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    477
                 | 
                                    
                                                     | 
                
                 | 
                        $expected = 14;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    478
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    479
                 | 
                                    
                                                     | 
                
                 | 
                        $this->assertSame($expected, $result);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    480
                 | 
                                    
                                                     | 
                
                 | 
                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    481
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    482
                 | 
                                    
                                                     | 
                
                 | 
                    /**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    483
                 | 
                                    
                                                     | 
                
                 | 
                     * Tests `range`.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    484
                 | 
                                    
                                                     | 
                
                 | 
                     *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    485
                 | 
                                    
                                                     | 
                
                 | 
                     *  (Signed) integer values.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    486
                 | 
                                    
                                                     | 
                
                 | 
                     *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    487
                 | 
                                    
                                                     | 
                
                 | 
                     * @return void  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    488
                 | 
                                    
                                                     | 
                
                 | 
                     */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    489
                 | 
                                    
                                                     | 
                
                 | 
                    public function testRangeIntSigned()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    490
                 | 
                                    
                                                     | 
                
                 | 
                    { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    491
                 | 
                                    
                                                     | 
                
                 | 
                        $values = [4, 6, 10, 15, 18, -18];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    492
                 | 
                                    
                                                     | 
                
                 | 
                        $result = Statistics::range($values);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    493
                 | 
                                    
                                                     | 
                
                 | 
                        $expected = 36;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    494
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    495
                 | 
                                    
                                                     | 
                
                 | 
                        $this->assertSame($expected, $result);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    496
                 | 
                                    
                                                     | 
                
                 | 
                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    497
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    498
                 | 
                                    
                                                     | 
                
                 | 
                    /**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    499
                 | 
                                    
                                                     | 
                
                 | 
                     * Tests `range`.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    500
                 | 
                                    
                                                     | 
                
                 | 
                     *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    501
                 | 
                                    
                                                     | 
                
                 | 
                     *  Float values.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    502
                 | 
                                    
                                                     | 
                
                 | 
                     *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    503
                 | 
                                    
                                                     | 
                
                 | 
                     * @return void  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    504
                 | 
                                    
                                                     | 
                
                 | 
                     */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    505
                 | 
                                    
                                                     | 
                
                 | 
                    public function testRangeFloats()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    506
                 | 
                                    
                                                     | 
                
                 | 
                    { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    507
                 | 
                                    
                                                     | 
                
                 | 
                        $values = [11, 13, 4.3, 15.5, 14];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    508
                 | 
                                    
                                                     | 
                
                 | 
                        $result = Statistics::range($values);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    509
                 | 
                                    
                                                     | 
                
                 | 
                        $expected = 11.2;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    510
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    511
                 | 
                                    
                                                     | 
                
                 | 
                        $this->assertSame($expected, $result);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    512
                 | 
                                    
                                                     | 
                
                 | 
                    }  | 
            
            
                                                                                                            
                                                                
            
                                    
            
            
                | 
                    513
                 | 
                                    
                                                     | 
                
                 | 
                }  | 
            
            
                                                        
            
                                    
            
            
                | 
                    514
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                        
Duplicated code is one of the most pungent code smells. If you need to duplicate the same code in three or more different places, we strongly encourage you to look into extracting the code into a single class or operation.
You can also find more detailed suggestions in the “Code” section of your repository.