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
88

Data element index
1 to 88

th  indexed value of () within the data table
1 to 88

Sum of all given numerical data
2117.62
Sum of All Data

Arithmetic mean (average) of sample or population
24.063863636364
Arithmetic Mean

 Sum of squares of all differences from the mean 
27.258030363636

Sample variance
0.313310693835
Sample Variance

Standard deviation within sample
± 0.559741631322
Sample Standard Deviation

Population variance
0.309750345041
Population Variance

Standard deviation within population
± 0.556552194355
Population Standard Deviation
PHP Math Tool by Jay Tanner - 2025