What is this calculator?
Find a mean where each value has its own weight.
What can you use it for?
Use it when solving an exercise, checking a result, or working with the particular quantities shown in this form. Find a mean where each value has its own weight.
How to use it
- Enter values.
- Enter matching nonnegative weights.
- Select Calculate (or Generate for random tools).
- Read the answer and any additional results below the form. Check the units and the limits of the method.
Formula and method
Weighted mean = Σ(value × weight) ÷ Σ(weights)
The lists must match in length and weights must be nonnegative with a positive total.
Worked example
Values: 10,20,30, Matching nonnegative weights: 1,2,3. The result is 23.33333333 (weighted result).
Assumptions and limits
Weights must have a positive total. Values may be any finite numbers.
Frequently asked questions
What inputs does the Weighted Average Calculator need?
Use values, matching nonnegative weights. Read the answer and any additional results below the form. Check the units and the limits of the method.
What assumptions apply to the Weighted Average Calculator?
Weights must have a positive total. Values may be any finite numbers.