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.






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Statistics Computed From The Above Data Table
Mathematical  Expression Numerical  Evaluation 

Data elements count
88

Data element index
1 to 88

th  indexed value of () within the data table
1 to 88

Sum of all given numerical data
3591.5
Sum of All Data

Arithmetic mean (average) of sample or population
40.8125
Arithmetic Mean

 Sum of squares of all differences from the mean 
323.792586

Sample variance
3.721753862069
Sample Variance

Standard deviation within sample
± 1.929184766182
Sample Standard Deviation

Population variance
3.679461204545
Population Variance

Standard deviation within population
± 1.918192170911
Population Standard Deviation
PHP Math Tool by Jay Tanner - 2026