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
78

Data element index
1 to 78

th  indexed value of () within the data table
1 to 78

Sum of all given numerical data
4295.022
Sum of All Data

Arithmetic mean (average) of sample or population
55.064384615385
Arithmetic Mean

 Sum of squares of all differences from the mean 
314.653982461538

Sample variance
4.086415356643
Sample Variance

Standard deviation within sample
± 2.021488401313
Sample Standard Deviation

Population variance
4.034025416174
Population Variance

Standard deviation within population
± 2.00848834106
Population Standard Deviation
PHP Math Tool by Jay Tanner - 2025