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
67

Data element index
1 to 67

th  indexed value of () within the data table
1 to 67

Sum of all given numerical data
2712.67
Sum of All Data

Arithmetic mean (average) of sample or population
40.487611940299
Arithmetic Mean

 Sum of squares of all differences from the mean 
7.276503910448

Sample variance
0.110250059249
Sample Variance

Standard deviation within sample
± 0.332039243538
Sample Standard Deviation

Population variance
0.108604535977
Population Variance

Standard deviation within population
± 0.329552023172
Population Standard Deviation
PHP Math Tool by Jay Tanner - 2025