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
41

Data element index
1 to 41

th  indexed value of () within the data table
1 to 41

Sum of all given numerical data
2812.126
Sum of All Data

Arithmetic mean (average) of sample or population
68.58843902439
Arithmetic Mean

 Sum of squares of all differences from the mean 
197.787594097561

Sample variance
4.944689852439
Sample Variance

Standard deviation within sample
± 2.22366585899
Sample Standard Deviation

Population variance
4.824087660916
Population Variance

Standard deviation within population
± 2.196380581984
Population Standard Deviation
PHP Math Tool by Jay Tanner - 2026