Weighted Average Calculator

Average values that have different weights.

Weighted average 83

Formula: Σ(value × weight) ÷ Σ(weight)

Step-by-step with your numbers:
1. Values used:
2. Value 1 = 90
3. Weight 1 = 0.5
4. Value 2 = 80
5. Weight 2 = 0.3
6. Value 3 = 70
7. Weight 3 = 0.2
8.
9. Weighted average = 83
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Average where some values count more than others (e.g. graded by credit hours).

The math behind it

weighted average = sum of (value × weight) ÷ sum of weights.

Worked example

90×0.5 + 80×0.3 + 70×0.2 = 83.

FAQ

Do weights need to sum to 1?

No — they're normalized by dividing by the total weight.