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
96

Data element index
1 to 96

th  indexed value of () within the data table
1 to 96

Sum of all given numerical data
4412.324000000001
Sum of All Data

Arithmetic mean (average) of sample or population
45.961708333333
Arithmetic Mean

 Sum of squares of all differences from the mean 
36.607079833333

Sample variance
0.385337682456
Sample Variance

Standard deviation within sample
± 0.620755734936
Sample Standard Deviation

Population variance
0.381323748264
Population Variance

Standard deviation within population
± 0.617514168472
Population Standard Deviation
PHP Math Tool by Jay Tanner - 2025