Case 1
- Grade 1
- 2
- Weight of grade 1
- 2
- Grade 2
- 3
- Weight of grade 2
- 1
- Grade 3 (weight 0 to skip)
- 2
- Weight of grade 3
- 0
- Grade 4 (weight 0 to skip)
- 2
- Weight of grade 4
- 0
2.33
Open with these valuesWeighted Grade Calculator
2.33
Result: 2.33Multiply each grade by its weight, add the products, divide by the weights added together. A 2 counting double and a 3 counting once give (4 + 3) ÷ 3 = 2.33. Only the ratio of the weights matters, so 2 and 1 give the same answer as 60 and 30. A weight of 0 drops a grade out.
Worked examples
Case 2
- Grade 1
- 2.5
- Weight of grade 1
- 60
- Grade 2
- 1.75
- Weight of grade 2
- 40
- Grade 3 (weight 0 to skip)
- 2
- Weight of grade 3
- 0
- Grade 4 (weight 0 to skip)
- 2
- Weight of grade 4
- 0
2.20
Open with these valuesCase 3
- Grade 1
- 1
- Weight of grade 1
- 2
- Grade 2
- 2
- Weight of grade 2
- 1
- Grade 3 (weight 0 to skip)
- 3
- Weight of grade 3
- 1
- Grade 4 (weight 0 to skip)
- 2
- Weight of grade 4
- 2
1.83
Open with these valuesHow it's calculated
Average = Σ (grade × weight) ÷ Σ weight
- StepEnter each grade with the weight it carries in the subject.
- StepLeave a weight at 0 for any slot you do not need.
- ResultRead the exact average; the weights need not add up to anything in particular.
What this number means
A weighted grade average lets some marks count more than others. The rule is the weighted mean: multiply each grade by its weight, add the products, divide by the sum of the weights. German upper-secondary practice follows exactly this shape. The KMK agreement on the gymnasiale Oberstufe weights a written and an oral examination two to one and writes the calculation out as (2s + m) ÷ 3 — a weighted mean with the weights 2 and 1. Because only the ratio of the weights matters, you can enter them however your school states them: 2 and 1, 60 and 40 percent, or any other pair with the same proportion. The same agreement names the two scales you may put in the grade fields — the marks 1 to 6 and the upper-school points 0 to 15. The calculator is neutral between them; it never interprets the numbers, it only weights them. Four slots is the limit here, one fewer than the old page offered, and a weight of zero removes a slot you do not need. Two things this page deliberately does not do: it will not tell you what grade you still need to reach a target, which has its own calculator, and it does not round the average to a report-card mark. Where that rounding boundary sits is a matter of state law, not arithmetic.
Only the ratio of the weights counts
Weights of 2 and 1 give exactly the same average as 60 and 30, or 0.5 and 0.25. They do not have to add up to 100 or to anything else.
Four grades, not five
The old version of this page had five slots; this one has four, the most that fits without turning the calculator into a form. Set a weight to 0 to leave a slot out.
The report-card mark is not arithmetic
This calculator gives the exact average. Whether a 2.50 becomes a 2 or a 3 on the certificate is set by school and state rules, and teachers usually retain discretion.
Commonly misread
Averaging the grades first and applying the weights afterwards
Weight each grade before adding. A 2 counting double and a 3 counting once give 2.33, not the plain average of 2.5.
Forcing the weights to add up to 100
The sum of the weights is the denominator, whatever it is. 2 and 1 work as well as 60 and 30.
Mixing marks 1–6 and points 0–15 in the same calculation
The two scales run in opposite directions — 1 is the best mark, 15 the best point score. Pick one scale for all four slots.
Reference table
| Grades and weights | Total weight | Average |
|---|---|---|
| 2 × 2, 3 × 1 | 3 | 2.33 |
| 2 × 1, 3 × 1 | 2 | 2.50 |
| 1 × 1, 2 × 1 | 2 | 1.50 |
| 2.5 × 60, 1.75 × 40 | 100 | 2.20 |
| 10 × 1, 12 × 1 | 2 | 11.00 |
| 13 × 2, 7 × 1 | 3 | 11.00 |
Questions
How do I calculate a weighted grade average?
Multiply each grade by its weight, add the products, and divide by the sum of the weights. A 2 weighted double and a 3 weighted single give (2 × 2 + 3 × 1) ÷ 3 = 2.33.
What weights should I enter?
Whatever your school uses: 2 and 1 for written counting double against oral, or percentages such as 60 and 40. Only the ratio matters, so both give the same result as long as the proportion is the same.
Can I use it with fewer than four grades?
Yes. Set the weight of any slot you do not need to 0 and that grade drops out of both the numerator and the denominator. Two grades with weights and two slots at zero work fine.
Does it work with the 15-point system?
Yes. The KMK agreement lists both the marks 1 to 6 and the points 0 to 15, and this calculator never interprets the numbers you enter, it only weights them. Just do not mix the two scales in one calculation.
Why does it not tell me the grade I need next?
That is a different question with different inputs — a target and the weight of the coming exam — and it has its own page, the final grade calculator. Keeping it out leaves this one at four grade slots instead of two.
Sources and last check
Information, not professional advice.