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
85

Data element index
1 to 85

th  indexed value of () within the data table
1 to 85

Sum of all given numerical data
5607.263999999999
Sum of All Data

Arithmetic mean (average) of sample or population
65.967811764706
Arithmetic Mean

 Sum of squares of all differences from the mean 
99.595740988235

Sample variance
1.185663583193
Sample Variance

Standard deviation within sample
± 1.088881804051
Sample Standard Deviation

Population variance
1.171714599862
Population Variance

Standard deviation within population
± 1.082457666545
Population Standard Deviation
PHP Math Tool by Jay Tanner - 2025