Statistics

Weighted Average Calculator

Average values that have different weights.

Value 1

Weight 1

Value 2

Weight 2

Value 3

Weight 3

Calculated Output

Weighted average 83

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

Step-by-Step Breakdown

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

9. Weighted average = 83

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The math behind it

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

90×0.5 + 80×0.3 + 70×0.2 = 83.

Do weights need to sum to 1?

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