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
30

Data element index
1 to 30

th  indexed value of () within the data table
1 to 30

Sum of all given numerical data
2984.992
Sum of All Data

Arithmetic mean (average) of sample or population
99.499733333333
Arithmetic Mean

 Sum of squares of all differences from the mean 
31.038269866667

Sample variance
1.070285167816
Sample Variance

Standard deviation within sample
± 1.034545875163
Sample Standard Deviation

Population variance
1.034608995556
Population Variance

Standard deviation within population
± 1.017157311115
Population Standard Deviation
PHP Math Tool by Jay Tanner - 2025