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
34

Data element index
1 to 34

th  indexed value of () within the data table
1 to 34

Sum of all given numerical data
1430.44
Sum of All Data

Arithmetic mean (average) of sample or population
42.071764705882
Arithmetic Mean

 Sum of squares of all differences from the mean 
48.333854117647

Sample variance
1.464662245989
Sample Variance

Standard deviation within sample
± 1.210232310752
Sample Standard Deviation

Population variance
1.421583944637
Population Variance

Standard deviation within population
± 1.192301951955
Population Standard Deviation
PHP Math Tool by Jay Tanner - 2024