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
3587.113000000001
Sum of All Data

Arithmetic mean (average) of sample or population
53.539
Arithmetic Mean

 Sum of squares of all differences from the mean 
49.394772

Sample variance
0.748405636364
Sample Variance

Standard deviation within sample
± 0.865104407782
Sample Standard Deviation

Population variance
0.737235402985
Population Variance

Standard deviation within population
± 0.858624133708
Population Standard Deviation
PHP Math Tool by Jay Tanner - 2024