免费加权平均计算器
计算带权重的加权平均值，适用于成绩和评分。
Weighted Avg
86.5556
公式
## Weighted Average ### Formula **Weighted Average = (v₁w₁ + v₂w₂ + ... + vₙwₙ) / (w₁ + w₂ + ... + wₙ)** Each value is multiplied by its weight, summed, then divided by the total weight. ### When to Use Use weighted averages when different items contribute unequally: course grades (different credit hours), stock portfolio returns (different investment amounts), or survey responses (different sample sizes).
计算示例
Three scores: 85 (weight 3), 92 (weight 4), 78 (weight 2).
- 01Weighted sum = 85×3 + 92×4 + 78×2 = 255 + 368 + 156 = 779
- 02Total weight = 3 + 4 + 2 = 9
- 03Weighted average = 779/9 ≈ 86.5556
- 04Simple average = (85+92+78)/3 = 85
常见问题
What is a weighted average?
A weighted average assigns different importance (weights) to values. Higher-weighted items influence the result more. When all weights are equal, it reduces to a simple average.
How do I calculate my GPA?
GPA is a weighted average: multiply each course grade by its credit hours, sum them all, and divide by total credit hours.
Can weights be negative?
In standard weighted averages, weights should be non-negative. Negative weights would indicate inverse importance, which is unusual and can lead to misleading results.
学习