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
93

Data element index
1 to 93

th  indexed value of () within the data table
1 to 93

Sum of all given numerical data
5239.815
Sum of All Data

Arithmetic mean (average) of sample or population
56.342096774194
Arithmetic Mean

 Sum of squares of all differences from the mean 
224.352966129032

Sample variance
2.438619197055
Sample Variance

Standard deviation within sample
± 1.561607888381
Sample Standard Deviation

Population variance
2.412397485258
Population Variance

Standard deviation within population
± 1.553189455687
Population Standard Deviation
PHP Math Tool by Jay Tanner - 2025