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
8443.332
Sum of All Data

Arithmetic mean (average) of sample or population
89.822680851064
Arithmetic Mean

 Sum of squares of all differences from the mean 
288.300212425532

Sample variance
3.100002284146
Sample Variance

Standard deviation within sample
± 1.76068233482
Sample Standard Deviation

Population variance
3.067023536442
Population Variance

Standard deviation within population
± 1.751291962079
Population Standard Deviation
PHP Math Tool by Jay Tanner - 2023