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
46

Data element index
1 to 46

th  indexed value of () within the data table
1 to 46

Sum of all given numerical data
1300.176000000001
Sum of All Data

Arithmetic mean (average) of sample or population
28.264695652174
Arithmetic Mean

 Sum of squares of all differences from the mean 
66.17159373913

Sample variance
1.47047986087
Sample Variance

Standard deviation within sample
± 1.212633440438
Sample Standard Deviation

Population variance
1.438512907372
Population Variance

Standard deviation within population
± 1.199380218018
Population Standard Deviation
PHP Math Tool by Jay Tanner - 2023