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
62

Data element index
1 to 62

th  indexed value of () within the data table
1 to 62

Sum of all given numerical data
3638.955
Sum of All Data

Arithmetic mean (average) of sample or population
58.692822580645
Arithmetic Mean

 Sum of squares of all differences from the mean 
140.138181048387

Sample variance
2.297347230301
Sample Variance

Standard deviation within sample
± 1.515700244211
Sample Standard Deviation

Population variance
2.260293242716
Population Variance

Standard deviation within population
± 1.50342716575
Population Standard Deviation
PHP Math Tool by Jay Tanner - 2026