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
50

Data element index
1 to 50

th  indexed value of () within the data table
1 to 50

Sum of all given numerical data
917.686
Sum of All Data

Arithmetic mean (average) of sample or population
18.35372
Arithmetic Mean

 Sum of squares of all differences from the mean 
32.37374808

Sample variance
0.660688736327
Sample Variance

Standard deviation within sample
± 0.812827617842
Sample Standard Deviation

Population variance
0.6474749616
Population Variance

Standard deviation within population
± 0.804658288716
Population Standard Deviation
PHP Math Tool by Jay Tanner - 2025