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
72

Data element index
1 to 72

th  indexed value of () within the data table
1 to 72

Sum of all given numerical data
4557.035000000001
Sum of All Data

Arithmetic mean (average) of sample or population
63.292152777778
Arithmetic Mean

 Sum of squares of all differences from the mean 
160.469191319444

Sample variance
2.260129455203
Sample Variance

Standard deviation within sample
± 1.503372693381
Sample Standard Deviation

Population variance
2.228738768326
Population Variance

Standard deviation within population
± 1.492896100981
Population Standard Deviation
PHP Math Tool by Jay Tanner - 2025