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
52

Data element index
1 to 52

th  indexed value of () within the data table
1 to 52

Sum of all given numerical data
1645.695
Sum of All Data

Arithmetic mean (average) of sample or population
31.647980769231
Arithmetic Mean

 Sum of squares of all differences from the mean 
125.377812980769

Sample variance
2.458388489819
Sample Variance

Standard deviation within sample
± 1.567924899292
Sample Standard Deviation

Population variance
2.411111788092
Population Variance

Standard deviation within population
± 1.552775511171
Population Standard Deviation
PHP Math Tool by Jay Tanner - 2025