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
95

Data element index
1 to 95

th  indexed value of () within the data table
1 to 95

Sum of all given numerical data
1280.877
Sum of All Data

Arithmetic mean (average) of sample or population
13.482915789474
Arithmetic Mean

 Sum of squares of all differences from the mean 
7.743417326316

Sample variance
0.082376780067
Sample Variance

Standard deviation within sample
± 0.287013553804
Sample Standard Deviation

Population variance
0.081509656066
Population Variance

Standard deviation within population
± 0.285498959834
Population Standard Deviation
PHP Math Tool by Jay Tanner - 2026