Average Calculator - Weighted Average with Coefficients
How to use this calculator?
1. Choose the mode: values with weights or quick list
2. Select the grading scale (out of 20, 10 or 100)
3. Enter your values and their weights, or paste a list of numbers
4. The average, median, minimum and maximum update automatically
Quick answer
How do you calculate a weighted average?
Multiply each value by its weight, add up these products, then divide by the sum of the weights: average = Σ (value × weight) ÷ Σ weights. Example: 12 (weight 2), 15 (weight 3) and 9 (weight 1) give (24 + 45 + 9) ÷ 6 = 13 out of 20. Without weights, add the values and divide by how many there are.
| Mark | Weight | Mark × weight |
|---|---|---|
| 12 | 2 | 24 |
| 15 | 3 | 45 |
| 9 | 1 | 9 |
| Total | 6 | 78 |
About the Average Calculator
What is it?
The average calculator gives you a weighted average from values and their weights, or a simple mean from a list of numbers pasted in one go. The result is shown on the scale of your choice (out of 20, 10 or 100), together with the median, the lowest and the highest value.
Why use it?
With several subjects and different weights, working out an average by hand quickly becomes tedious, and one wrong weight skews the whole result. The tool is handy for tracking grades over a term, estimating an exam average or checking a transcript.
How does it work?
Weighted average = (value₁ × weight₁ + value₂ × weight₂ + ...) ÷ (weight₁ + weight₂ + ...). For example, 12 with weight 2 and 15 with weight 1 give (24 + 15) ÷ 3 = 13. In quick list mode every weight is 1, so the mean is the sum of the values divided by how many there are. The median is the middle value once the values are sorted.
Usage tips
- An empty weight counts as 1, and a weight of 0 leaves the value out of the calculation
- Decimals can be typed with a dot (12.5) or a comma (12,5)
- Paste a column copied from a spreadsheet straight into quick list mode
- Official grade averages (school, university) may use specific rounding or optional subjects: check the rules with your institution
- Compare the mean and the median: a large gap points to a value far from the others
Embed this tool on your website
Copy this code into your website or blog: the tool shows up right on your page, free and without sign-up.