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
32

Data element index
1 to 32

th  indexed value of () within the data table
1 to 32

Sum of all given numerical data
1869.67
Sum of All Data

Arithmetic mean (average) of sample or population
58.4271875
Arithmetic Mean

 Sum of squares of all differences from the mean 
2.769302875

Sample variance
0.089332350806
Sample Variance

Standard deviation within sample
± 0.298885179971
Sample Standard Deviation

Population variance
0.086540714844
Population Variance

Standard deviation within population
± 0.294178032565
Population Standard Deviation
PHP Math Tool by Jay Tanner - 2024