Weighted Population Variance Calculator
Calculate the weighted mean and population-style variance of numeric values.
Your result
MATHEnter your values and select calculate.
On this page How it works & practical examples
How to use the Weighted Population Variance Calculator
Weights are positive relative weights and need not sum to one. The denominator is total weight, so this is a population-style weighted moment.
The calculation
Worked example
Values 10,20,30 with weights 1,2,1 have mean 20, variance 50 and standard deviation about 7.0711.
Assumptions and limits
Does not apply an unbiased sample correction, infer frequency weights or handle complex survey designs. Different weight interpretations can require different estimators.
Common questions
Which inputs should I use?
Weights are positive relative weights and need not sum to one. The denominator is total weight, so this is a population-style weighted moment.
What does the result exclude?
Does not apply an unbiased sample correction, infer frequency weights or handle complex survey designs. Different weight interpretations can require different estimators.