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
68

Data element index
1 to 68

th  indexed value of () within the data table
1 to 68

Sum of all given numerical data
5354.000000000001
Sum of All Data

Arithmetic mean (average) of sample or population
78.735294117647
Arithmetic Mean

 Sum of squares of all differences from the mean 
380.288350117647

Sample variance
5.675945524144
Sample Variance

Standard deviation within sample
± 2.382424295575
Sample Standard Deviation

Population variance
5.592475737024
Population Variance

Standard deviation within population
± 2.364841588146
Population Standard Deviation
PHP Math Tool by Jay Tanner - 2025