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Weighted Average

Enter values and their assigned weights, one pair per line. The calculator accounts for the fact that not everything counts equally.

One pair per line: value and weight separated by a space or semicolon. Decimals may use a point or comma, e.g. 1.5 2 or 1,5;2.

Weighted average: —

Fill in the fields above — the result is computed on this page.

How do I use this page?
  1. Fill in the fields in the form above — the result recomputes at once, with no page reload.
  2. Under the result you will find the interpretation scale, if the calculator has one: it says which range your value fell into.
  3. The formula we use is shown lower on this page — you can check the arithmetic yourself.
  4. To compute the same for another game or variant, change it in the select field — prices and pools update automatically.

Further reading

Theory — what is a weighted average?

A weighted average differs from a plain one in that each value carries a weight reflecting its importance. Each value is multiplied by its weight, the products summed and divided by the sum of weights — when weights are equal, the result matches the plain average. For grades of 5 (weight 3), 4 (weight 2) and 3 (weight 1), the sum of products is 26 and the sum of weights is 6, giving 26/6. The calculator accepts values and weights one pair per line.

Frequently asked questions

How do you calculate the weighted average of grades 5 (weight 3), 4 (weight 2), and 3 (weight 1)?
The sum of products is 15 + 8 + 3 = 26, and the sum of weights is 6. The result is 26 divided by 6, which is 4.33. A plain average would give 4.0.
Do the weights have to add up to 100?
No. They can be any positive numbers — the calculator divides by their actual sum. Weights of 3, 2, 1 will give the same result as 30, 20, 10.
Can a weight be a fraction?
Yes. Values such as 0.5, 0,5, 1.25 or 1,25 are allowed. Separate the value from its weight with a space or semicolon.
What happens if I enter a weight of zero on every line?
The calculator will report an error, since division by zero makes no sense. At least one weight must be non-zero.

See also

← All calculators

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