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
83

Data element index
1 to 83

th  indexed value of () within the data table
1 to 83

Sum of all given numerical data
1123.851
Sum of All Data

Arithmetic mean (average) of sample or population
13.540373493976
Arithmetic Mean

 Sum of squares of all differences from the mean 
6.658127421687

Sample variance
0.081196675874
Sample Variance

Standard deviation within sample
± 0.284950304219
Sample Standard Deviation

Population variance
0.080218402671
Population Variance

Standard deviation within population
± 0.283228534352
Population Standard Deviation
PHP Math Tool by Jay Tanner - 2025