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
64

Data element index
1 to 64

th  indexed value of () within the data table
1 to 64

Sum of all given numerical data
4508.964999999999
Sum of All Data

Arithmetic mean (average) of sample or population
70.452578125
Arithmetic Mean

 Sum of squares of all differences from the mean 
5.028071609375

Sample variance
0.079810660466
Sample Variance

Standard deviation within sample
± 0.282507806027
Sample Standard Deviation

Population variance
0.078563618896
Population Variance

Standard deviation within population
± 0.280292024318
Population Standard Deviation
PHP Math Tool by Jay Tanner - 2025