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
47

Data element index
1 to 47

th  indexed value of () within the data table
1 to 47

Sum of all given numerical data
2868.791999999999
Sum of All Data

Arithmetic mean (average) of sample or population
61.038127659574
Arithmetic Mean

 Sum of squares of all differences from the mean 
69.273435234043

Sample variance
1.505944244218
Sample Variance

Standard deviation within sample
± 1.227169199507
Sample Standard Deviation

Population variance
1.47390287732
Population Variance

Standard deviation within population
± 1.214044017868
Population Standard Deviation
PHP Math Tool by Jay Tanner - 2025