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
77

Data element index
1 to 77

th  indexed value of () within the data table
1 to 77

Sum of all given numerical data
3149.644
Sum of All Data

Arithmetic mean (average) of sample or population
40.904467532468
Arithmetic Mean

 Sum of squares of all differences from the mean 
22.347959168831

Sample variance
0.294052094327
Sample Variance

Standard deviation within sample
± 0.542265704546
Sample Standard Deviation

Population variance
0.290233235959
Population Variance

Standard deviation within population
± 0.538732991341
Population Standard Deviation
PHP Math Tool by Jay Tanner - 2025