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
94

Data element index
1 to 94

th  indexed value of () within the data table
1 to 94

Sum of all given numerical data
3991.814000000001
Sum of All Data

Arithmetic mean (average) of sample or population
42.466106382979
Arithmetic Mean

 Sum of squares of all differences from the mean 
84.56518493617

Sample variance
0.90930306383
Sample Variance

Standard deviation within sample
± 0.953573837639
Sample Standard Deviation

Population variance
0.899629626981
Population Variance

Standard deviation within population
± 0.948488074243
Population Standard Deviation
PHP Math Tool by Jay Tanner - 2024