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Grade Average Calculator
Quickly calculate a grade average: a simple mean of all grades or a weighted average with individual weights – including the best and worst grade and calculation steps.
Available
Explanation
How Grade Average Calculator works
The grade average combines several individual grades into a single figure. In the simplest case every grade counts equally – then the average is the arithmetic mean of all grades.
As soon as individual results count differently – for example exams versus oral grades, or modules with different ECTS credits – a weighted average is formed. Each grade is multiplied by its weight, all products are added up and divided by the sum of the weights.
Unweighted averageØ = (n₁ + n₂ + … + nₖ) / kAll grades are added up and divided by their count k.
Weighted averageØ = Σ(nᵢ · gᵢ) / Σ gᵢEach grade nᵢ is multiplied by its weight gᵢ; the sum is divided by the sum of the weights.
Knowledge
Arithmetic and weighted mean
The average combines several grades into a single figure.
The arithmetic mean treats all values equally. The weighted mean gives each value a weight and divides the weighted sum by the sum of the weights.
- Unweighted: all grades count equally (weight 1).
- Weighted: exams or modules count more than other results.
- Only the ratio of the weights affects the result.
Practice
Practical examples
For illustration only – your own calculation is what counts.
Simple grade average
Three exams with the grades 1, 2 and 3 give an average of 2.0.
Result: Average of 1, 2 and 3 = 2.0 (best grade 1, worst grade 3).
Weighted grade average
An oral grade 2 (weight 1) and an exam grade 3 (weight 2) give a weighted average of 2.67.
Result: (2·1 + 3·2) / (1 + 2) = 8 / 3 ≈ 2.67.
- Forgetting the weighting
Exams and oral grades are treated equally, even though the exam counts double according to the rules.
In „Weighted“ mode, give each grade its weight (e.g. exam 2, oral 1). Only then does the average match the actual rules.
- Grade and weight swapped
The grade is entered in the weight column and vice versa, which completely distorts the result.
The first column is for the grade, the second for its weight. The weight says how often the grade counts – not how good it is.
- Decimal grades written incorrectly
A grade like 2.5 is entered as „25“ or with an unclear separator.
German decimals like 2,5 are recognized correctly; the point (2.5) works too. Make sure there is exactly one decimal separator.
FAQ
Frequently asked questions
What is the difference between a weighted and an unweighted average?
With the unweighted average every grade counts equally: you add up all grades and divide by their count. With the weighted average each grade is given a weight (for example exam ×2, oral ×1). Then each grade is multiplied by its weight, the products are added up and divided by the sum of the weights.
Which grading system does the calculator support?
The calculator works with plain numbers and accepts values from 0 to 100. This makes it work for German school grades 1–6, for upper-secondary points 0–15 and for point- or percentage-based systems. However, it does not know any school-specific conversion tables.
How do I enter weights correctly?
In „Weighted“ mode, enter a weight next to each grade that reflects its importance – for example 2 for an exam that counts double and 1 for an oral grade. Only the ratio of the weights matters: 2 to 1 gives the same result as 4 to 2. If a weight is missing, the calculator uses 1.
How is the grade average rounded?
The calculator shows the average as precisely as possible and rounds only for display. How schools or universities round the average for a report card is regulated differently – check the relevant examination or promotion regulations for that.
- The calculator works with plain numbers (0 to 100) and knows no school-specific conversions, such as from upper-secondary points to grades.
- It applies no official rounding or promotion rules. The relevant examination regulations apply for the final report grade.
- Tendency grades like „2+“ or „3-“ must first be translated into numbers (e.g. 1.7 or 3.3) before they are entered.
Sources
Sources and references
- Vereinbarung über die Schularten und Bildungsgänge im Sekundarbereich IKultusministerkonferenz (KMK)
Basis for assessing performance and awarding grades in lower secondary education (KMK, German education standards), on which the formation of report grades from individual results builds.
View sourceRetrieved: 08/24/2026 · Verified on: 08/24/2026 - Arithmetisches und gewichtetes MittelWikibooks – Mathematik für Schüler
Freely accessible derivation of the arithmetic and the weighted mean as measures of location for a set of numbers.
View sourceRetrieved: 08/24/2026 · Verified on: 08/24/2026
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