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
76

Data element index
1 to 76

th  indexed value of () within the data table
1 to 76

Sum of all given numerical data
2244.36
Sum of All Data

Arithmetic mean (average) of sample or population
29.531052631579
Arithmetic Mean

 Sum of squares of all differences from the mean 
154.367515789474

Sample variance
2.05823354386
Sample Variance

Standard deviation within sample
± 1.434654503307
Sample Standard Deviation

Population variance
2.031151523546
Population Variance

Standard deviation within population
± 1.42518473313
Population Standard Deviation
PHP Math Tool by Jay Tanner - 2025