WorkedMathGlossary

Weighted Average Calculator

Enter your values and their weights below to instantly get the weighted average.

Weighted Average
86

The Weighted Average Formula

Weighted average = (sum of value × weight for every item) ÷ (sum of all weights). It's most often used for grades, where different assignments count for different percentages of a final score.

Worked example

A homework average of 90 (worth 30%), a midterm of 80 (worth 50%), and a final of 95 (worth 20%).

(90 × 0.3) + (80 × 0.5) + (95 × 0.2) = 27 + 40 + 19 = 86

Weighted average = 86

Frequently Asked Questions

What is a weighted average?

A weighted average gives different values different levels of importance before averaging, instead of treating every value equally. It's the total of each value times its weight, divided by the total weight.

How is a weighted average different from a regular average?

A regular (unweighted) average treats every value as equally important. A weighted average lets some values count more than others — like a final exam worth more of a course grade than a single homework assignment.

Do the weights need to add up to 1 or 100%?

No, they don't have to. The formula divides by the total weight automatically, so weights of 3, 5, and 2 work exactly the same as 0.3, 0.5, and 0.2 — only the relative proportions matter.

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