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
98

Data element index
1 to 98

th  indexed value of () within the data table
1 to 98

Sum of all given numerical data
1940.144
Sum of All Data

Arithmetic mean (average) of sample or population
19.797387755102
Arithmetic Mean

 Sum of squares of all differences from the mean 
102.979075265306

Sample variance
1.061639951189
Sample Variance

Standard deviation within sample
± 1.030359136995
Sample Standard Deviation

Population variance
1.050806890462
Population Variance

Standard deviation within population
± 1.025088723215
Population Standard Deviation
PHP Math Tool by Jay Tanner - 2026