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
75

Data element index
1 to 75

th  indexed value of () within the data table
1 to 75

Sum of all given numerical data
4908.520000000001
Sum of All Data

Arithmetic mean (average) of sample or population
65.446933333333
Arithmetic Mean

 Sum of squares of all differences from the mean 
158.233294666667

Sample variance
2.138287765766
Sample Variance

Standard deviation within sample
± 1.462288537111
Sample Standard Deviation

Population variance
2.109777262222
Population Variance

Standard deviation within population
± 1.452507233105
Population Standard Deviation
PHP Math Tool by Jay Tanner - 2025