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
3315.648000000001
Sum of All Data

Arithmetic mean (average) of sample or population
75.355636363636
Arithmetic Mean

 Sum of squares of all differences from the mean 
108.481058181818

Sample variance
2.522815306554
Sample Variance

Standard deviation within sample
± 1.588337277329
Sample Standard Deviation

Population variance
2.465478595041
Population Variance

Standard deviation within population
± 1.570184255125
Population Standard Deviation
PHP Math Tool by Jay Tanner - 2025