Variance and Standard Deviation Statistics Calculator

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
60

Data element index
1 to 60

th  indexed value of () within the data table
1 to 60

Sum of all given numerical data
2806.110000000001
Sum of All Data

Arithmetic mean (average) of sample or population
46.7685
Arithmetic Mean

 Sum of squares of all differences from the mean 
198.610653

Sample variance
3.366282254237
Sample Variance

Standard deviation within sample
± 1.834743103063
Sample Standard Deviation

Population variance
3.31017755
Population Variance

Standard deviation within population
± 1.819389334365
Population Standard Deviation
PHP Math Tool by Jay Tanner - 2022