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Education · Updated 2026

Weighted Average Calculator

Calculate the weighted average from grades and their weights — coefficients, ECTS credits or hours — with any number of values.

Enter grades and weights

GradeWeight

Add a grade and its weight on each row. You can add or remove rows at any time.

=Weighted average
8.83
Number of grades3
Total weight6
Simple mean9
Weighted average8.83

The weighted average gives more importance to grades with a higher weight. Weights can be coefficients, ECTS credits or hours.

Tools for pupils and students. Formulas used in Romanian schools for averages and exams. Everything runs instantly in your browser, no account, no data sent.

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iHow it is calculated

The weighted average is found by dividing the sum of the grade × weight products by the sum of the weights:

average = Σ(grade × weight) ÷ Σweight

For grades 9, 8, 10 with weights 3, 2, 1: (27 + 16 + 10) ÷ 6 = 53 ÷ 6 = 8.83.

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?Frequently asked questions

What is a weighted average?

A weighted average is a mean in which each value has a different weight (importance). Values with a higher weight influence the result more than those with a low weight.

How is a weighted average calculated?

Multiply each grade by its weight, add the products, then divide by the sum of the weights. For example, 9×3 + 8×2 + 10×1 = 53, divided by 6 (the weights) = 8.83.

What is the difference between a simple and a weighted mean?

A simple mean treats all grades equally, while a weighted mean accounts for the importance of each. When all weights are equal, the two means coincide.

Where is a weighted average used?

For grades with coefficients (for example in exams), for ECTS credits at university, for assessments where some parts count more, and in finance and statistics.

How do I compute the average with ECTS credits?

Use each subject grade as the value and the number of credits as the weight. Average = sum of (grade × credits) divided by the total credits of the session.

Which weights should I use?

Weights reflect relative importance: the coefficient of the exam, number of credits, class hours or the percentage of the final grade. Only the ratio between them matters, not the absolute values.

Can the weighted average exceed the maximum value?

No. The weighted average is always between the smallest and the largest value entered, regardless of the weights.

How do I compute the average of an exam session?

Enter each grade with the subject’s number of credits as the weight. The result is the session’s weighted average, usually used for scholarships and rankings.

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