Calculation·mathematics 10

Weighted average calculator

Enter the value and the weight corresponding to its importance to calculate a weighted average.

Input

The example value has been entered. Check it immediately or change the value.

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Result

Check or change the value using the example value result.

Fractional results are displayed up to 12 digits of precision. Please unify units in the input values.

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Calculation·conversion criteria

Calculate the average that reflects scores and weights.

Weighted average = Σ(value × weight) ÷ Σweight

Input example

80×1 and 100×3 weighted average = 95

If 80 receives weight 2 and 100 receives weight 1, then (80×2+100×1)÷3≈86.6667. Enter the value and weight for each line as a pair.

How to use

  1. Use the provided example value or replace the value and weight (a pair per line) fields.
  2. Click Verify result and check the following result.
  3. Result can be copied if needed.

Frequently Asked Questions

Must the weighted sum be exactly 100?

No. Since relative weight ratios are used, 2 and 1, 20 and 10 yield the same result. Weights must be greater than 0, and the sum must be greater than 0.

Calculation criteria and reference materials

The calculation formula and scope of this tool are disclosed in the above description. Examples can be checked by substituting input values into the formula or following the specified string and calendar handling rules.

Verification of calculation criteria: · Calculation·verification principles · Report errors