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.






Statistics Computed From The Above Data Table
Mathematical  Expression Numerical  Evaluation 

Data elements count
40

Data element index
1 to 40

th  indexed value of () within the data table
1 to 40

Sum of all given numerical data
3282.552
Sum of All Data

Arithmetic mean (average) of sample or population
82.0638
Arithmetic Mean

 Sum of squares of all differences from the mean 
12.6454144

Sample variance
0.324241394872
Sample Variance

Standard deviation within sample
± 0.56942198313
Sample Standard Deviation

Population variance
0.31613536
Population Variance

Standard deviation within population
± 0.562259157329
Population Standard Deviation
PHP Math Tool by Jay Tanner - 2026