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
86

Data element index
1 to 86

th  indexed value of () within the data table
1 to 86

Sum of all given numerical data
5846.410000000001
Sum of All Data

Arithmetic mean (average) of sample or population
67.981511627907
Arithmetic Mean

 Sum of squares of all differences from the mean 
28.966623488372

Sample variance
0.340783805746
Sample Variance

Standard deviation within sample
± 0.583766910458
Sample Standard Deviation

Population variance
0.336821203353
Population Variance

Standard deviation within population
± 0.58036299275
Population Standard Deviation
PHP Math Tool by Jay Tanner - 2024