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Average: Weighted Average

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Practice Questions

Concept Explanation

When values have different weights (importance or frequency), use the weighted average:

Weighted average = Σ (weight × value) / Σ weights

Key Idea

  • Heavier weights pull the average toward that value.
  • If all weights are equal, weighted average equals the simple average.

Example

Test 1: 40 marks, score 70 (weight 3). Test 2: 60 marks, score 80 (weight 2). Weighted average = (3×70 + 2×80)/(3+2) = 74.