Statistics / Averages

Weighted Average Calculator

Work out a weighted average, such as a grade from courses with different credits or an overall mark from exams worth different percentages, with each value's share of the weight shown.

Weighted Average Calculator: Each value is multiplied by its weight, the products are added, and the total is divided by the sum of the weights. For grades of 85, 72, and 90 with 4, 3, and 2 credits: (85 × 4 + 72 × 3 + 90 × 2) ÷ 9 = 736 ÷ 9 = 81.78, against a simple average of 82.33. Runs 100% locally in your browser with zero server file uploads.

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Weighted average calculatorLocal processing

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Weighted average81.7778736 ÷ 9
Simple average, for comparison82.3333
ValueWeightShare of the weightValue × weight
85444.4%340
72333.3%216
90222.2%180

Each value counts in proportion to its weight: multiply each value by its weight, add the products, and divide by the total weight. Weights can be credits, hours, percentages that add to 100, or quantities; only their proportions matter.

Worked example

An exam worth 50%, coursework worth 30%, and a project worth 20%, with marks of 64, 80, and 75: (64 × 50 + 80 × 30 + 75 × 20) ÷ 100 = 71.

To find what you need on a final exam to reach a target, use the final grade calculator.

Other uses

Weighted averages give the average price paid for shares bought at different prices and quantities, a portfolio's average return weighted by amounts invested, and a course's average weighted by credits.

For letter grades and credits, the GPA calculator does the conversion and the weighting.

How to use it

  1. Enter the values in order, such as the grades.
  2. Enter the weights in the same order, such as credits or percentages.
  3. Read the weighted average and compare it with the simple average.

Privacy & limitations

Everything is calculated in your browser.

Related tools

Frequently asked questions

Do the weights have to add up to 100?

No: only their proportions matter, so 4, 3, and 2 credits work as well as 44%, 33%, and 22%.

Can a weight be zero?

Yes: that value then counts for nothing, as for a dropped test.

How is this different from a GPA?

A GPA is a weighted average of grade points by credits; the GPA calculator converts letter grades to points first.

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