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
73

Data element index
1 to 73

th  indexed value of () within the data table
1 to 73

Sum of all given numerical data
2243.67
Sum of All Data

Arithmetic mean (average) of sample or population
30.735205479452
Arithmetic Mean

 Sum of squares of all differences from the mean 
142.304121917808

Sample variance
1.976446137747
Sample Variance

Standard deviation within sample
± 1.405861350826
Sample Standard Deviation

Population variance
1.949371533121
Population Variance

Standard deviation within population
± 1.396198959003
Population Standard Deviation
PHP Math Tool by Jay Tanner - 2025