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
77

Data element index
1 to 77

th  indexed value of () within the data table
1 to 77

Sum of all given numerical data
5224.127999999999
Sum of All Data

Arithmetic mean (average) of sample or population
67.845818181818
Arithmetic Mean

 Sum of squares of all differences from the mean 
24.923649454545

Sample variance
0.327942755981
Sample Variance

Standard deviation within sample
± 0.572662864154
Sample Standard Deviation

Population variance
0.32368375915
Population Variance

Standard deviation within population
± 0.568932121742
Population Standard Deviation
PHP Math Tool by Jay Tanner - 2025