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
47

Data element index
1 to 47

th  indexed value of () within the data table
1 to 47

Sum of all given numerical data
2246.058
Sum of All Data

Arithmetic mean (average) of sample or population
47.788468085106
Arithmetic Mean

 Sum of squares of all differences from the mean 
121.584345702128

Sample variance
2.643137950046
Sample Variance

Standard deviation within sample
± 1.625773031529
Sample Standard Deviation

Population variance
2.586900972386
Population Variance

Standard deviation within population
± 1.608384584726
Population Standard Deviation
PHP Math Tool by Jay Tanner - 2025