Weighted Mean Calculator
Calculate the weighted average where each value has a different importance or frequency weight.
Enter Values and Weights
Example Data Sets:
Weighted Mean
86.500000
Regular Mean
86.250000
Weighted Std Dev
5.454356
Sum of Weights
1.0000
Number of Values
4
Value Contributions:
| Value | Weight | Norm. Weight | Contribution |
|---|---|---|---|
| 85 | 0.2 | 20.00% | 17.0000 |
| 90 | 0.3 | 30.00% | 27.0000 |
| 78 | 0.25 | 25.00% | 19.5000 |
| 92 | 0.25 | 25.00% | 23.0000 |
What is Weighted Mean?
A weighted mean (or weighted average) is similar to an ordinary arithmetic mean, except that instead of each value contributing equally to the final average, some values contribute more than others based on their assigned weights. This is useful when some values are more important or occur more frequently than others.
Formula
Weighted Mean = Sum(xi * wi) / Sum(wi)
Where xi are the values and wi are the corresponding weights.