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
44

Data element index
1 to 44

th  indexed value of () within the data table
1 to 44

Sum of all given numerical data
2056.33
Sum of All Data

Arithmetic mean (average) of sample or population
46.734772727273
Arithmetic Mean

 Sum of squares of all differences from the mean 
135.137849727273

Sample variance
3.142740691332
Sample Variance

Standard deviation within sample
± 1.772777676792
Sample Standard Deviation

Population variance
3.071314766529
Population Variance

Standard deviation within population
± 1.752516695079
Population Standard Deviation
PHP Math Tool by Jay Tanner - 2025