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
67

Data element index
1 to 67

th  indexed value of () within the data table
1 to 67

Sum of all given numerical data
5463.481999999999
Sum of All Data

Arithmetic mean (average) of sample or population
81.544507462687
Arithmetic Mean

 Sum of squares of all differences from the mean 
240.413276746268

Sample variance
3.642625405246
Sample Variance

Standard deviation within sample
± 1.908566321941
Sample Standard Deviation

Population variance
3.588257861885
Population Variance

Standard deviation within population
± 1.894269743697
Population Standard Deviation
PHP Math Tool by Jay Tanner - 2025