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
3134.388000000001
Sum of All Data

Arithmetic mean (average) of sample or population
56.988872727273
Arithmetic Mean

 Sum of squares of all differences from the mean 
86.950262109091

Sample variance
1.610190039057
Sample Variance

Standard deviation within sample
± 1.268932637715
Sample Standard Deviation

Population variance
1.580913856529
Population Variance

Standard deviation within population
± 1.257343969059
Population Standard Deviation
PHP Math Tool by Jay Tanner - 2025