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
2077.04
Sum of All Data

Arithmetic mean (average) of sample or population
20.980202020202
Arithmetic Mean

 Sum of squares of all differences from the mean 
34.939331959596

Sample variance
0.356523795506
Sample Variance

Standard deviation within sample
± 0.597096135899
Sample Standard Deviation

Population variance
0.352922545046
Population Variance

Standard deviation within population
± 0.594072844899
Population Standard Deviation
PHP Math Tool by Jay Tanner - 2025