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.






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Statistics Computed From The Above Data Table
Mathematical  Expression Numerical  Evaluation 

Data elements count
68

Data element index
1 to 68

th  indexed value of () within the data table
1 to 68

Sum of all given numerical data
4405.953999999999
Sum of All Data

Arithmetic mean (average) of sample or population
64.793441176471
Arithmetic Mean

 Sum of squares of all differences from the mean 
208.482502764706

Sample variance
3.111679145742
Sample Variance

Standard deviation within sample
± 1.763995222709
Sample Standard Deviation

Population variance
3.065919158304
Population Variance

Standard deviation within population
± 1.750976629857
Population Standard Deviation
PHP Math Tool by Jay Tanner - 2026