Weighted Average Calculator

Calculate the weighted average of up to four values with custom weights.

Weighted Avg

86.5556

Total Weight9.00
Simple Avg85.0000

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).

Example Calculation

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

  1. 01Weighted sum = 85×3 + 92×4 + 78×2 = 255 + 368 + 156 = 779
  2. 02Total weight = 3 + 4 + 2 = 9
  3. 03Weighted average = 779/9 ≈ 86.5556
  4. 04Simple average = (85+92+78)/3 = 85

Frequently Asked Questions

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