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
53

Data element index
1 to 53

th  indexed value of () within the data table
1 to 53

Sum of all given numerical data
4143.169
Sum of All Data

Arithmetic mean (average) of sample or population
78.173
Arithmetic Mean

 Sum of squares of all differences from the mean 
40.488012

Sample variance
0.778615615385
Sample Variance

Standard deviation within sample
± 0.882391985109
Sample Standard Deviation

Population variance
0.763924754717
Population Variance

Standard deviation within population
± 0.874027891269
Population Standard Deviation
PHP Math Tool by Jay Tanner - 2024