OneTaskBy Tim King · Updated
Weighted Average Mark Calculator
Marks and Weightings to an Overall Grade
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How the Weighted Average Mark Calculator works
This weighted average mark calculator weights each mark by its share. A weighted average mark is each mark times its weighting, added up and divided by the total weighting: 70 on a 40% module and 60 on a 60% module gives 64. Type each module or assessment on its own line with its mark and how much it counts for, and the calculator returns the weighted average mark, the degree classification band it sits in, the plain unweighted average for comparison and a table showing how much each item actually contributed. Weightings can be percentages, credits or any consistent unit; they do not need to add up to 100. If part of the course is still to come, add a target and the weighting outstanding to see the average you need from here.
Weighted average mark calculator: marks times weights
A weighted average mark gives each result a say in proportion to its weighting rather than treating every mark equally. It is how almost every university module, and most degree classifications, are calculated, and it is the reason a 61 in a 50% exam pulls the overall down further than a 74 in a 10% presentation pulls it up.
The calculation. Multiply each mark by its weighting, add those products together, and divide by the sum of the weightings. With the default figures that is (68 × 40 + 74 × 10 + 61 × 50) ÷ 100 = 65.1. Because the division is by the total weighting, the numbers need not sum to 100: a module worth 20 credits and one worth 40 give exactly the same result whether you type 20 and 40, 1 and 2, or 33.3 and 66.7. The readout flags when the total is not 100 so you can check nothing is missing.
Weighted versus unweighted. The unweighted average is shown alongside because the gap between the two tells you where the weight sits. If the weighted figure is lower, the heavily weighted items are your weaker ones, and the table's "Share of total" column shows which. A mark that is 10 points above average in an item with 5% of the weighting moves the result by half a point; the same 10 points in a 50% exam moves it by five.
Classification bands. UK degrees are classed from the weighted average: 70 and above is a first, 60 to 69 an upper second (2:1), 50 to 59 a lower second (2:2) and 40 to 49 a third. Most universities apply borderline rules within a point or two of each boundary, count only the final two years, weight the final year more heavily and may discount the weakest module, so treat the band as a guide and check your own regulations. The "points needed" line shows the distance to the next boundary.
Target and remaining weighting. Enter what you are aiming for overall and how much weighting is still to be assessed, in the same units as your lines. The calculator finds the average you need across that remaining weighting, and says so if it is above 100 or already secured. This is the same sum the final grade calculator does for a single module; here it works across modules, credits or years.
Common inputs. Coursework and exam splits within a module; modules and their credit values within a year; year averages and their year weightings, such as 25% for second year and 75% for third; or assessment components with marks out of 100. Marks entered out of something other than 100 should be converted to a percentage first, since the average is only meaningful when every mark is on the same scale.
Weighted average mark worked examples
The formula: WAM = Σ(mark × weighting) ÷ Σ weighting.
First example. An essay at 68% worth 40 and an exam at 55% worth 60: (68 × 40 + 55 × 60) ÷ 100 = (2,720 + 3,300) ÷ 100 = 60.20%, a 2:1.
Second example. Modules of 72% (20 credits), 58% (20 credits) and 64% (40 credits): (1,440 + 1,160 + 2,560) ÷ 80 = 64.50%.
How many marks are needed on the rest? With half the weighting done, the average needed on the other half is twice the target minus the current average: at 55% so far, a 60% target needs 65% on the rest.
Average needed on the remaining 50% of the weighting, by mark so far
| Average so far | For 40% | For 50% | For 60% | For 70% |
|---|---|---|---|---|
| 45% | 35% | 55% | 75% | 95% |
| 46% | 34% | 54% | 74% | 94% |
| 47% | 33% | 53% | 73% | 93% |
| 48% | 32% | 52% | 72% | 92% |
| 49% | 31% | 51% | 71% | 91% |
| 50% | 30% | 50% | 70% | 90% |
| 51% | 29% | 49% | 69% | 89% |
| 52% | 28% | 48% | 68% | 88% |
| 53% | 27% | 47% | 67% | 87% |
| 54% | 26% | 46% | 66% | 86% |
| 55% | 25% | 45% | 65% | 85% |
| 56% | 24% | 44% | 64% | 84% |
| 57% | 23% | 43% | 63% | 83% |
| 58% | 22% | 42% | 62% | 82% |
| 59% | 21% | 41% | 61% | 81% |
| 60% | 20% | 40% | 60% | 80% |
| 61% | 19% | 39% | 59% | 79% |
| 62% | 18% | 38% | 58% | 78% |
| 63% | 17% | 37% | 57% | 77% |
| 64% | 16% | 36% | 56% | 76% |
| 65% | 15% | 35% | 55% | 75% |
| 66% | 14% | 34% | 54% | 74% |
| 67% | 13% | 33% | 53% | 73% |
| 68% | 12% | 32% | 52% | 72% |
| 69% | 11% | 31% | 51% | 71% |
FAQ
How do I calculate a weighted average mark?
Multiply each mark by its weighting, add the results and divide by the total of the weightings. For 68 at 40%, 74 at 10% and 61 at 50%, that is 2,720 + 740 + 3,050 = 6,510, divided by 100, giving 65.1.
Do the weightings have to add up to 100?
No. The calculator divides by whatever they sum to, so credits such as 15, 15 and 30 work as well as percentages. The total is shown in the readout so you can spot a missing module, and a note appears when it is not 100.
Is this the same as a WAM?
It is the same arithmetic. Australian universities call the credit-weighted average across a whole degree a WAM, and the WAM calculator on this site is built for that, including year-level weightings. This page is for any set of marks and weightings, such as one module's components or one year's modules.
What degree classification does my average give?
70 or above is a first, 60 to 69 a 2:1, 50 to 59 a 2:2 and 40 to 49 a third, under the standard UK scheme. Universities add borderline zones, year weightings and discounting rules on top, so an average of 69.4 may still be classed a first under your regulations.
What if I have marks out of 20 or out of 50?
Convert them to percentages first by dividing by the maximum and multiplying by 100, then enter the percentage. Mixing scales in one list gives a meaningless average because a 15 out of 20 and a 15 out of 100 would be treated as the same mark.
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