iHow it is calculated
The weighted average is found by dividing the sum of the grade × weight products by the sum of the weights:
For grades 9, 8, 10 with weights 3, 2, 1: (27 + 16 + 10) ÷ 6 = 53 ÷ 6 = 8.83.
Calculate the weighted average from grades and their weights — coefficients, ECTS credits or hours — with any number of values.
Enter grades and weights
Add a grade and its weight on each row. You can add or remove rows at any time.
The weighted average gives more importance to grades with a higher weight. Weights can be coefficients, ECTS credits or hours.
Weighted average = 8.83 (Total weight 6)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.
The weighted average is found by dividing the sum of the grade × weight products by the sum of the weights:
For grades 9, 8, 10 with weights 3, 2, 1: (27 + 16 + 10) ÷ 6 = 53 ÷ 6 = 8.83.
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.
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.
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.
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.
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.
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.
No. The weighted average is always between the smallest and the largest value entered, regardless of the weights.
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.