Three grades with weights 2, 3 and 5
- Input
- 8 (peso 2), 6 (peso 3), 7 (peso 5)
- Expected output
- 6,9
(16 + 18 + 35) / 10 = 69 / 10. The weight-5 grade carries half of the result.
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how to calculate a weighted average of grades
In a weighted average not every grade counts the same: an exam of weight 3 pulls the average three times as hard as a project of weight 1. The calculator below takes grades and weights, accepts a comma or a period and ignores what has not been entered yet.
(16 + 18 + 35) / 10 = 69 / 10. The weight-5 grade carries half of the result.
(28 + 30) / 10. A simple average would give 6.0: the heavier P2 pulls the result down.
(15 + 18 + 9 + 24) / 10 = 66 / 10. The weight-3 quarters had grades 6 and 8, so the average rises a little.
(6 + 15 + 27) / 6 = 48 / 6. When the latest grades weigh more and improve, the final average ends well above the simple one (7.5).
Multiply each grade by its weight, add the results and divide by the sum of the weights. With grades 8, 6 and 7 and weights 2, 3 and 5: (8x2 + 6x3 + 7x5) / (2+3+5) = 69 / 10 = 6.9. Weights do not have to add up to 10 or 100.
No. The formula divides by the sum of the weights, so any scale of weights works: 2, 3 and 5 give the same result as 20, 30 and 50 or as 0.2, 0.3 and 0.5. Only the proportion between them matters.
In a simple average every grade counts the same: add and divide by how many. In a weighted one, each grade is multiplied by its weight before adding. With equal weights both match; with different weights, the heavier grades decide more of the result.
Leave it blank. The calculator computes a partial average from what exists and, on the Required score tab, tells you what you need on the missing grades to reach the minimum average.
A weight of zero would make the grade count for nothing, so the calculator asks for a weight above zero. If a grade should not enter the average, just leave its row blank or remove it.
Enter the grades you already have. Leave blank whatever has not been given yet: the average uses only what exists.
The values below are common examples, not a single standard. Passing average, rounding and make-up rules change from school to school and system to system: check your own handbook.
Quarters, trimesters or semesters, with the option of different weights per term.
A blank field means a grade not given yet. Comma or period both work.
Enter at least one grade to see the average. Or load a four-quarter example to see how it works.
A study aid. The rules shown are common examples: minimum average, rounding, make-up exams and required attendance follow your school's or institution's rules, which override any calculator.