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
81

Data element index
1 to 81

th  indexed value of () within the data table
1 to 81

Sum of all given numerical data
2468.726999999999
Sum of All Data

Arithmetic mean (average) of sample or population
30.478111111111
Arithmetic Mean

 Sum of squares of all differences from the mean 
6.39908

Sample variance
0.0799885
Sample Variance

Standard deviation within sample
± 0.282822382424
Sample Standard Deviation

Population variance
0.079000987654
Population Variance

Standard deviation within population
± 0.281071143404
Population Standard Deviation
PHP Math Tool by Jay Tanner - 2024