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
78

Data element index
1 to 78

th  indexed value of () within the data table
1 to 78

Sum of all given numerical data
5340.288000000001
Sum of All Data

Arithmetic mean (average) of sample or population
68.465230769231
Arithmetic Mean

 Sum of squares of all differences from the mean 
6.876099846154

Sample variance
0.089299998002
Sample Variance

Standard deviation within sample
± 0.298831052607
Sample Standard Deviation

Population variance
0.088155126233
Population Variance

Standard deviation within population
± 0.29690928957
Population Standard Deviation
PHP Math Tool by Jay Tanner - 2026