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
3921.77
Sum of All Data

Arithmetic mean (average) of sample or population
58.533880597015
Arithmetic Mean

 Sum of squares of all differences from the mean 
5.751307044776

Sample variance
0.08714101583
Sample Variance

Standard deviation within sample
± 0.295196571508
Sample Standard Deviation

Population variance
0.085840403653
Population Variance

Standard deviation within population
± 0.292985330099
Population Standard Deviation
PHP Math Tool by Jay Tanner - 2025