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
61

Data element index
1 to 61

th  indexed value of () within the data table
1 to 61

Sum of all given numerical data
728.802
Sum of All Data

Arithmetic mean (average) of sample or population
11.947573770492
Arithmetic Mean

 Sum of squares of all differences from the mean 
15.703512918033

Sample variance
0.261725215301
Sample Variance

Standard deviation within sample
± 0.5115908671
Sample Standard Deviation

Population variance
0.257434638001
Population Variance

Standard deviation within population
± 0.507380171075
Population Standard Deviation
PHP Math Tool by Jay Tanner - 2026