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
96

Data element index
1 to 96

th  indexed value of () within the data table
1 to 96

Sum of all given numerical data
5176.878000000003
Sum of All Data

Arithmetic mean (average) of sample or population
53.9258125
Arithmetic Mean

 Sum of squares of all differences from the mean 
251.152352625

Sample variance
2.643708975
Sample Variance

Standard deviation within sample
± 1.625948638488
Sample Standard Deviation

Population variance
2.616170339844
Population Variance

Standard deviation within population
± 1.617457987041
Population Standard Deviation
PHP Math Tool by Jay Tanner - 2023