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
65

Data element index
1 to 65

th  indexed value of () within the data table
1 to 65

Sum of all given numerical data
4604.450000000001
Sum of All Data

Arithmetic mean (average) of sample or population
70.837692307692
Arithmetic Mean

 Sum of squares of all differences from the mean 
23.464417846154

Sample variance
0.366631528846
Sample Variance

Standard deviation within sample
± 0.605501056024
Sample Standard Deviation

Population variance
0.360991043787
Population Variance

Standard deviation within population
± 0.600825302219
Population Standard Deviation
PHP Math Tool by Jay Tanner - 2025