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
69

Data element index
1 to 69

th  indexed value of () within the data table
1 to 69

Sum of all given numerical data
2055.164
Sum of All Data

Arithmetic mean (average) of sample or population
29.784985507246
Arithmetic Mean

 Sum of squares of all differences from the mean 
92.979564985507

Sample variance
1.367346543905
Sample Variance

Standard deviation within sample
± 1.169335941423
Sample Standard Deviation

Population variance
1.347529927326
Population Variance

Standard deviation within population
± 1.160831567165
Population Standard Deviation
PHP Math Tool by Jay Tanner - 2026