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
76

Data element index
1 to 76

th  indexed value of () within the data table
1 to 76

Sum of all given numerical data
1437.232
Sum of All Data

Arithmetic mean (average) of sample or population
18.910947368421
Arithmetic Mean

 Sum of squares of all differences from the mean 
22.555355789474

Sample variance
0.300738077193
Sample Variance

Standard deviation within sample
± 0.548395912816
Sample Standard Deviation

Population variance
0.29678099723
Population Variance

Standard deviation within population
± 0.544776098255
Population Standard Deviation
PHP Math Tool by Jay Tanner - 2025