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
77

Data element index
1 to 77

th  indexed value of () within the data table
1 to 77

Sum of all given numerical data
2575.292000000001
Sum of All Data

Arithmetic mean (average) of sample or population
33.445350649351
Arithmetic Mean

 Sum of squares of all differences from the mean 
6.949549532468

Sample variance
0.091441441217
Sample Variance

Standard deviation within sample
± 0.30239285907
Sample Standard Deviation

Population variance
0.090253890032
Population Variance

Standard deviation within population
± 0.300422852047
Population Standard Deviation
PHP Math Tool by Jay Tanner - 2024