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Study & wellbeing · Grades 9–12

Weighted decision matrix

Study guide for Grades 9 to 12: 2 worked examples and 2 practice questions. Score each option on each criterion, multiply by how much that criterion matters to you, then add.

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Rule and key idea

Score each option on each criterion, multiply by how much that criterion matters to you, then add.

weighted total = Σ (weight × score)

Worked examples

You compare two clubs with a weighted decision matrix. Weights: interest ×3, fits your schedule ×2. Club A scores 3 for interest and 2 for schedule; Club B scores 1 and 1 (higher is better). Which club has the higher weighted total?

A: 3 × 3 + 2 × 2 = 13; B: 3 × 1 + 2 × 1 = 5

Club A

You compare two clubs with a weighted decision matrix. Weights: interest ×4, fits your schedule ×2. Club A scores 4 for interest and 3 for schedule; Club B scores 3 and 2 (higher is better). What is Club A’s weighted total?

A: 4 × 4 + 2 × 3 = 22; B: 4 × 3 + 2 × 2 = 16

22

Try two questions

  1. You compare two clubs with a weighted decision matrix. Weights: interest ×4, fits your schedule ×2. Club A scores 5 for interest and 1 for schedule; Club B scores 4 and 4 (higher is better). Which club has the higher weighted total?

    1. Club A
    2. Club B

  2. You compare two clubs with a weighted decision matrix. Weights: interest ×4, fits your schedule ×3. Club A scores 3 for interest and 2 for schedule; Club B scores 3 and 5 (higher is better). What is Club A’s weighted total?

Answers and reasoning

Answers and marking notes
  1. Club B

    A: 4 × 5 + 2 × 1 = 22; B: 4 × 4 + 2 × 4 = 24

  2. 18

    A: 4 × 3 + 3 × 2 = 18; B: 4 × 3 + 3 × 5 = 27

How this page was made: written for StudyBrix with AI assistance from our own templates. Answers and worked examples are checked by automated tests, and grade bands are approximate, not an official curriculum alignment. See the editorial policy for corrections. Editorial policy