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
82

Data element index
1 to 82

th  indexed value of () within the data table
1 to 82

Sum of all given numerical data
4261.772000000002
Sum of All Data

Arithmetic mean (average) of sample or population
51.972829268293
Arithmetic Mean

 Sum of squares of all differences from the mean 
28.904975609756

Sample variance
0.356851550738
Sample Variance

Standard deviation within sample
± 0.597370530523
Sample Standard Deviation

Population variance
0.352499702558
Population Variance

Standard deviation within population
± 0.59371685386
Population Standard Deviation
PHP Math Tool by Jay Tanner - 2025