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
34

Data element index
1 to 34

th  indexed value of () within the data table
1 to 34

Sum of all given numerical data
820.294
Sum of All Data

Arithmetic mean (average) of sample or population
24.126294117647
Arithmetic Mean

 Sum of squares of all differences from the mean 
8.336641058824

Sample variance
0.252625486631
Sample Variance

Standard deviation within sample
± 0.502618629411
Sample Standard Deviation

Population variance
0.24519532526
Population Variance

Standard deviation within population
± 0.495172015828
Population Standard Deviation
PHP Math Tool by Jay Tanner - 2026