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
55

Data element index
1 to 55

th  indexed value of () within the data table
1 to 55

Sum of all given numerical data
4866.707
Sum of All Data

Arithmetic mean (average) of sample or population
88.485581818182
Arithmetic Mean

 Sum of squares of all differences from the mean 
4.725469381818

Sample variance
0.087508692256
Sample Variance

Standard deviation within sample
± 0.295818681384
Sample Standard Deviation

Population variance
0.085917625124
Population Variance

Standard deviation within population
± 0.293117084326
Population Standard Deviation
PHP Math Tool by Jay Tanner - 2025