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
30

Data element index
1 to 30

th  indexed value of () within the data table
1 to 30

Sum of all given numerical data
901.774
Sum of All Data

Arithmetic mean (average) of sample or population
30.059133333333
Arithmetic Mean

 Sum of squares of all differences from the mean 
9.102781466667

Sample variance
0.313889016092
Sample Variance

Standard deviation within sample
± 0.560257990654
Sample Standard Deviation

Population variance
0.303426048889
Population Variance

Standard deviation within population
± 0.550841219308
Population Standard Deviation
PHP Math Tool by Jay Tanner - 2026