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
75

Data element index
1 to 75

th  indexed value of () within the data table
1 to 75

Sum of all given numerical data
6802.216000000002
Sum of All Data

Arithmetic mean (average) of sample or population
90.696213333333
Arithmetic Mean

 Sum of squares of all differences from the mean 
365.593852586667

Sample variance
4.940457467387
Sample Variance

Standard deviation within sample
± 2.222713986861
Sample Standard Deviation

Population variance
4.874584701156
Population Variance

Standard deviation within population
± 2.20784616791
Population Standard Deviation
PHP Math Tool by Jay Tanner - 2026