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
71

Data element index
1 to 71

th  indexed value of () within the data table
1 to 71

Sum of all given numerical data
6177.139
Sum of All Data

Arithmetic mean (average) of sample or population
87.001957746479
Arithmetic Mean

 Sum of squares of all differences from the mean 
494.556344873239

Sample variance
7.065090641046
Sample Variance

Standard deviation within sample
± 2.658023822513
Sample Standard Deviation

Population variance
6.965582322158
Population Variance

Standard deviation within population
± 2.639238966475
Population Standard Deviation
PHP Math Tool by Jay Tanner - 2026