Weighted Average Calculator
Find a weighted average (weighted mean) from values and their weights, such as grades and credit hours.
Change the values and press Calculate to work out your own figures.
Enter the values and their weights, in the same order.
| Value | Weight | Value × weight |
|---|---|---|
| 90 | 3 | 270 |
| 80 | 3 | 240 |
| 70 | 4 | 280 |
Show the working
- Σ(value × weight) = 790
- Σ weights = 10
- 790 ÷ 10 = 79
How to use it
Enter the values and their weights, in the same order.
Paste or type the numbers separated by commas, spaces or new lines. Results are worked out exactly and shown to 12 significant figures; Show the working lists each step.
Key facts
weighted average = Σ(value × weight) ÷ Σ weights
Weights as percentages
Weights can be counts, credit hours or percentages; they don't need to add up to 1 or 100, because the calculator divides by their total.
Questions
How do I calculate a weighted average?
Multiply each value by its weight, add those up and divide by the total of the weights.
Do the weights have to add up to 100?
No.
Formulas
weighted average = Σ(value × weight) ÷ Σ weights
Sources
Limitations
- Up to 5,000 values. Values are separated by commas, spaces or new lines, so write 1250 rather than 1,250.