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
55

Data element index
1 to 55

th  indexed value of () within the data table
1 to 55

Sum of all given numerical data
858.53
Sum of All Data

Arithmetic mean (average) of sample or population
15.609636363636
Arithmetic Mean

 Sum of squares of all differences from the mean 
41.123174727273

Sample variance
0.761540272727
Sample Variance

Standard deviation within sample
± 0.872662748562
Sample Standard Deviation

Population variance
0.74769408595
Population Variance

Standard deviation within population
± 0.864693058808
Population Standard Deviation
PHP Math Tool by Jay Tanner - 2025