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
40

Data element index
1 to 40

th  indexed value of () within the data table
1 to 40

Sum of all given numerical data
2159.606
Sum of All Data

Arithmetic mean (average) of sample or population
53.99015
Arithmetic Mean

 Sum of squares of all differences from the mean 
11.0661391

Sample variance
0.28374715641
Sample Variance

Standard deviation within sample
± 0.532679224684
Sample Standard Deviation

Population variance
0.2766534775
Population Variance

Standard deviation within population
± 0.525978590344
Population Standard Deviation
PHP Math Tool by Jay Tanner - 2025