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Weighted Average Calculator

A weighted average lets some values count for more than others. Enter your values and a matching list of weights — percentages, credit hours, quantities — and the calculator returns the weighted mean alongside the ordinary unweighted one.

Quick examples

Separate with commas or spaces.

One weight for each value, in the same order.

Your numbers stay in your browser. Nothing is uploaded.
Weighted average83
Sum of weights
100
Sum of value × weight
8,300
Unweighted average
80

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      Formula

      Weighted average = Σ(value × weight) ÷ Σ(weight)

      How to use it

      1. Type the values, separated by commas.
      2. Type one weight for each value, in the same order.
      3. Read the weighted average. The weights do not need to add up to 100 or to 1.

      Worked examples

      Scores of 90, 80 and 70 weighted 50%, 30% and 20%

      Weighted average
      83
      Sum of weights
      100
      Sum of value × weight
      8,300
      Unweighted average
      80

      Grade points 4.0, 3.0, 3.7 and 2.0 for 3, 4, 3 and 2 credits

      Weighted average
      3.2583
      Sum of weights
      12
      Sum of value × weight
      39.1

      Worked examples

      Course grade: scores of 90, 80 and 70 weighted 50%, 30% and 20% give (90 × 50 + 80 × 30 + 70 × 20) ÷ 100 = 8,300 ÷ 100 = 83.

      GPA: grade points of 4.0, 3.0, 3.7 and 2.0 for courses worth 3, 4, 3 and 2 credits give 39.1 ÷ 12 = 3.26.

      Average price paid: buying 100 shares at $10.50, 50 at $12.00 and 200 at $9.75 costs $3,600 for 350 shares, an average of $10.29.

      The mistake it prevents

      Averaging averages without weights gives the wrong answer whenever the groups differ in size. A class of 10 averaging 90 and a class of 30 averaging 70 have a combined average of 75, not 80.

      Questions people ask

      What is the weighted average of 90, 80 and 70 with weights 50%, 30% and 20%?

      83. The plain average of the three scores is 80; the heavier weight on the 90 pulls it up.

      Do the weights have to add up to 100?

      No. The formula divides by the total weight, so 5, 3, 2 gives the same answer as 50, 30, 20.

      How is a GPA a weighted average?

      Each grade’s points are weighted by the course’s credit hours. Multiply points by credits, add them up, and divide by total credits.

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