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Mathematics

Weighted average and target

Calculate an average from scores and weights. An additional weight lets you find the new average needed to reach a target.

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01

Your inputs

The starting values are an example.

One score per line. The weight may be the number of credits, for example. There is no fixed grading scale.

Decimals: 12.5 · Thousands: 1,234.56. Follow the field instructions for lists.

02

Your result

Enter your values and select Calculate.

Your calculation will appear here.

Your result will include the relevant values and units.

Understand the calculation

Formula and example

How it is calculated

Mean=Σ(value·weight)/Σweight. Required new value=[target·(existing+new weight)−existing weighted sum]/new weight.

Worked example

Scores of 2 with weight 2 and 3 with weight 1 give 7/3 ≈ 2.3333. To reach an overall average of 2 with one additional weight of 1, the new score must be 1.

Things to check

  • Choose the grading scale yourself; no national grading system is assumed.
  • The calculator does not decide whether higher or lower numbers are better. Custom rounding and admission rules are not applied.

Frequently asked questions

Does every score contribute equally?

Only if all weights are equal. Double weights have double influence; a weight of zero does not contribute to the average.