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
38

Data element index
1 to 38

th  indexed value of () within the data table
1 to 38

Sum of all given numerical data
1842.357
Sum of All Data

Arithmetic mean (average) of sample or population
48.483078947368
Arithmetic Mean

 Sum of squares of all differences from the mean 
2.950904763158

Sample variance
0.079754182788
Sample Variance

Standard deviation within sample
± 0.282407830607
Sample Standard Deviation

Population variance
0.077655388504
Population Variance

Standard deviation within population
± 0.278667164381
Population Standard Deviation
PHP Math Tool by Jay Tanner - 2025