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
99

Data element index
1 to 99

th  indexed value of () within the data table
1 to 99

Sum of all given numerical data
3211.721
Sum of All Data

Arithmetic mean (average) of sample or population
32.441626262626
Arithmetic Mean

 Sum of squares of all differences from the mean 
6.911257171717

Sample variance
0.070523032364
Sample Variance

Standard deviation within sample
± 0.265561729857
Sample Standard Deviation

Population variance
0.069810678502
Population Variance

Standard deviation within population
± 0.264217104863
Population Standard Deviation
PHP Math Tool by Jay Tanner - 2025