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
49

Data element index
1 to 49

th  indexed value of () within the data table
1 to 49

Sum of all given numerical data
4095.952
Sum of All Data

Arithmetic mean (average) of sample or population
83.590857142857
Arithmetic Mean

 Sum of squares of all differences from the mean 
224.415616

Sample variance
4.675325333333
Sample Variance

Standard deviation within sample
± 2.162250062628
Sample Standard Deviation

Population variance
4.579910530612
Population Variance

Standard deviation within population
± 2.140072552651
Population Standard Deviation
PHP Math Tool by Jay Tanner - 2025