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
32

Data element index
1 to 32

th  indexed value of () within the data table
1 to 32

Sum of all given numerical data
1353.763
Sum of All Data

Arithmetic mean (average) of sample or population
42.30509375
Arithmetic Mean

 Sum of squares of all differences from the mean 
24.30314071875

Sample variance
0.78397228125
Sample Variance

Standard deviation within sample
± 0.88542209214
Sample Standard Deviation

Population variance
0.759473147461
Population Variance

Standard deviation within population
± 0.871477565667
Population Standard Deviation
PHP Math Tool by Jay Tanner - 2024