Reviewed by CalcMulti Editorial Team·Last updated: ·← Percentage & Ratio Hub
A weighted average assigns different levels of importance (weights) to each value. The formula is: Weighted Average = Σ(value × weight) / Σ(weight). This gives a more accurate result than a simple average when not all values contribute equally.
The most common use is course grades. If a final exam (worth 40 credits) outweighs a quiz (worth 10 credits), the final counts four times more. A student scoring 80 on the exam and 60 on the quiz earns: (80×40 + 60×10) / (40+10) = (3200+600)/50 = 76 — not the simple average of 70.
Other applications include portfolio returns (weighted by investment size), manufacturing quality scores (weighted by batch volume), and census data (weighted by population).
Weighted Average = Σ(vᵢ × wᵢ) / Σ(wᵢ)
Enter up to 5 values with their weights (e.g. grades and credit hours).
| # | Value | Weight |
|---|---|---|
| 1 | ||
| 2 | ||
| 3 | ||
| 4 | ||
| 5 |
| Course | Grade | Credit Hours | Grade × Credits |
|---|---|---|---|
| Math | 92 | 4 | 368 |
| English | 85 | 3 | 255 |
| History | 78 | 3 | 234 |
| Art | 95 | 2 | 190 |
| Weighted Avg | 12 | 1047 ÷ 12 = 87.25 |
This calculator is for educational purposes only and does not constitute professional advice. Results are based on standard mathematical formulas. Always verify critical calculations with a qualified professional before making important decisions.