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
86

Data element index
1 to 86

th  indexed value of () within the data table
1 to 86

Sum of all given numerical data
4195.656
Sum of All Data

Arithmetic mean (average) of sample or population
48.786697674419
Arithmetic Mean

 Sum of squares of all differences from the mean 
118.594926139535

Sample variance
1.395234425171
Sample Variance

Standard deviation within sample
± 1.181200417021
Sample Standard Deviation

Population variance
1.379010769064
Population Variance

Standard deviation within population
± 1.174312892318
Population Standard Deviation
PHP Math Tool by Jay Tanner - 2025