Math

Weighted Average Calculator

Calculate an average from paired values and nonnegative weights without manually normalizing weights.

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Result

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How to use Weighted Average Calculator

The weighted average equals the sum of each value times its weight, divided by the sum of weights. Pair the lists in the same order.

Up to 1,000 pairs; use commas, spaces, or new lines as separators, never thousands separators. At least one weight must be positive.
Decimal inputs have at most 120 characters and magnitude from 1e-100 to 1e15, or zero. Floating-point results are rounded to 12 significant digits; extreme derived results may underflow or be rejected. Exact integer results are identified separately.

What calculation does Weighted Average Calculator perform?

The weighted average equals the sum of each value times its weight, divided by the sum of weights. Pair the lists in the same order.

Must weights add to 100?

No. Relative weights such as 1, 2, 1 work just as percentages such as 25, 50, 25 do.

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