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
42

Data element index
1 to 42

th  indexed value of () within the data table
1 to 42

Sum of all given numerical data
566.833
Sum of All Data

Arithmetic mean (average) of sample or population
13.496023809524
Arithmetic Mean

 Sum of squares of all differences from the mean 
3.87857697619

Sample variance
0.094599438444
Sample Variance

Standard deviation within sample
± 0.307570217095
Sample Standard Deviation

Population variance
0.092347070862
Population Variance

Standard deviation within population
± 0.303886608559
Population Standard Deviation
PHP Math Tool by Jay Tanner - 2024