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
50

Data element index
1 to 50

th  indexed value of () within the data table
1 to 50

Sum of all given numerical data
4832.176
Sum of All Data

Arithmetic mean (average) of sample or population
96.64352
Arithmetic Mean

 Sum of squares of all differences from the mean 
304.30773248

Sample variance
6.210361887347
Sample Variance

Standard deviation within sample
± 2.492059768013
Sample Standard Deviation

Population variance
6.0861546496
Population Variance

Standard deviation within population
± 2.467013305517
Population Standard Deviation
PHP Math Tool by Jay Tanner - 2026