Variance and Standard Deviation Statistics Calculator PHP Program by Jay Tanner

Simply enter the delimited numerical data table/string and click [COMPUTE]. The numerical data elements can be separated by commas, spaces or semicolons. The initial example data is randomly generated.  Copy/Paste/Replace with your own data table. 81.0, 82.0, 81.025, 84.65, 82.15, 84.5, 85.635, 83.0, 84.15, 83.0, 81.5, 81.90, 82.0, 82.165, 81.075, 85.230, 84.550, 82.890, 85.0, 81.5, 85.5, 81.0, 82.465, 83.55, 84.180, 84.0, 82.85, 81.0, 85.025, 85.0, 82.095, 83.965, 85.35, 82.825, 83.30, 85.60, 84.060, 82.85, 81.0, 82.80, 83.375, 82.90, 82.715, 83.195, 81.0, 84.0, 82.25, 81.5, 81.10, 83.5, 85.480, 83.95, 84.95, 83.700, 83.35, 85.985, 85.85, 84.5, 84.0, 82.265, 81.970, 82.350, 82.25, 85.0, 83.35, 84.50, 85.005, 82.90, 84.15, 85.245, 81.0, 81.685, 82.905, 83.275, 85.880, 83.10, 85.0, 82.595, 84.75, 85.455, 84.5, 85.370, 85.5, 85.0, 81.0, 82.60

Statistics Computed From The Above Data Table Mathematical  Expression  Numerical  Evaluation  Data elements count 86 Data element index 1 to 86 th  indexed value of () within the data table 1 to 86 Sum of all given numerical data 7173.235000000001 Sum of All Data Arithmetic mean (average) of sample or population 83.409709302326 Arithmetic Mean  Sum of squares of all differences from the mean  188.312217732558 Sample variance 2.215437855677 Sample Variance Standard deviation within sample ± 1.488434699836 Sample Standard Deviation Population variance 2.189676950379 Population Variance Standard deviation within population ± 1.479755706317 Population Standard Deviation

PHP Math Tool by Jay Tanner - 2025