Weighted Average Calculator
Averages where some values count more than others.
Reviewed by the Calculation Machine team · How we check our maths
Your values
ⓘ Live results
Results
- Weighted average
- 89.5
- Simple average
- 88.5
- Total weight
- 100
- Difference from simple average
- 1
| Value | Weight | Weight % | Contribution |
|---|---|---|---|
| 88 | 20 | 20% | 17.6 |
| 92 | 30 | 30% | 27.6 |
| 79 | 20 | 20% | 15.8 |
| 95 | 30 | 30% | 28.5 |
Quick answer
A weighted average multiplies each value by its weight, sums the results and divides by the total weight.
The formula
x̄w = Σ(wᵢxᵢ) ÷ Σwᵢ
Worked example
Worked example
Using the values the calculator loads with.
Inputs
- Values (comma separated)88, 92, 79, 95
- Weights (comma separated)20, 30, 20, 30
Result
- Weighted average89.5
- Simple average88.5
- Total weight100
- Difference from simple average1
How to use the Weighted Average Calculator
- 1Enter your values in order.
- 2Enter matching weights in the same order.
- 3Read the weighted average and each contribution.
Frequently asked questions
Do weights need to sum to 100?
No. Any consistent scale works because the calculation divides by the total weight.
Where is this used?
Course grades, portfolio returns, survey results and any scoring system where components have different importance.
About this calculator
- Built and reviewed by the Calculation Machine team · How we build and test calculators
- Report an error