Find an average where some values count more. This free weighted average calculator multiplies each value by its weight and divides by the total weight — ideal for grades, GPA and prices.
Enter each value and its weight (importance). The weighted average multiplies each value by its weight, sums them, and divides by the total weight. Weights can be percentages, credits, counts — anything.
A weighted average gives more influence to items with higher weights. If all weights are equal, it equals the ordinary (plain) average.
How the Weighted Average Calculator Works
A weighted average lets some values count more than others — useful whenever items differ in importance, like exam weights, course credits, or purchase quantities. This calculator multiplies each value by its weight, adds those products together, and divides by the total weight.
Formula: Weighted average = Σ(value × weight) ÷ Σ(weight), where Σ means “sum of” across every row you enter. For comparison, the calculator also shows the plain (unweighted) average, which equals the weighted average whenever every weight is identical.
- Value — each individual number you want averaged (grade, price, score, etc.)
- Weight — how much that value counts relative to the others (a percentage, credit count, quantity, or any consistent unit)
Example Scenarios
| Values & Weights | Total Weight | Weighted Average |
|---|---|---|
| 90 (w=30), 80 (w=70) | 100 | 83 |
| 70 (w=20), 85 (w=50), 95 (w=30) | 100 | 85 |
| 3 (w=2), 4 (w=3) | 5 | 3.6 |
| 10 (w=1), 20 (w=1), 30 (w=1) | 3 | 20 |
| 100 (w=1), 50 (w=1) | 2 | 75 |
| 60 (w=1), 90 (w=3) | 4 | 82.5 |
Weighted Average Calculator FAQ
How is a weighted average different from a normal (plain) average?
A plain average adds up all values and divides by how many there are, treating each one equally. A weighted average instead multiplies each value by its own weight before summing, so items with higher weights pull the result toward them more than items with lower weights.Can I use weighted average for calculating my GPA?
Yes — enter each course grade as a Value and its credit hours as the Weight. The calculator multiplies each grade by its credits, sums those, and divides by total credits, which is exactly how most schools compute a weighted GPA.What happens if all the weights are equal?
When every weight is the same, the weighted average becomes mathematically identical to the plain average — the weighting has no differential effect. The calculator’s “Plain average” row lets you confirm this by comparing the two side by side.Can weights be percentages instead of whole numbers?
Yes. Weights can be percentages, credit counts, item quantities, or any consistent unit — the calculator only cares about the values relative to each other, not their unit, since the total weight is divided out at the end.Why would a weighted average be higher or lower than the plain average?
If higher-value items also carry higher weights, the weighted average rises above the plain average, and vice versa if lower-value items are weighted more heavily. The direction and size of the gap depends entirely on how weight correlates with value in your data.Can I use negative or zero weights?
A weight of zero effectively removes that value from the calculation, since it contributes nothing to either the numerator or the total weight. Negative weights aren’t meaningful for a standard weighted average and can produce misleading or undefined results, so stick to zero or positive weights.Related Calculators
If your data doesn’t need weighting, the plain average calculator handles a simple mean instead. To see how spread out your values are around that average, try the standard deviation calculator, and for grade or attendance weighting specifically, the aggregate percentage calculator covers a closely related use case.