Weighted Average Calculatorसूत्र

## 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).

हल किया गया उदाहरण

Three scores: 85 (weight 3), 92 (weight 4), 78 (weight 2).

  1. Weighted sum = 85×3 + 92×4 + 78×2 = 255 + 368 + 156 = 779
  2. Total weight = 3 + 4 + 2 = 9
  3. Weighted average = 779/9 ≈ 86.5556
  4. Simple average = (85+92+78)/3 = 85