Build a decision matrix
Score design options against weighted criteria to choose the best one with evidence, not gut feeling.
- Multiply then add (weighted totals): A weighted score multiplies each rating by its weight, then adds the products, so you must be able to multiply and sum.
- Turn needs into criteria: A matrix's columns are the criteria; you first have to turn design goals into clear, comparable criteria.
Prerequisites are inferred: pending teacher review.
Re-learn the skill with worked practice and clear examples.
A decision matrix lists options as rows and criteria as weighted columns; you multiply each rating by its weight and add the products to get each option's weighted total.
Use the matrix shown. Criteria weights: Ease of Use = 3, Durability = 2, Cost = 1. What is the WEIGHTED TOTAL for Option A?
Approved| Option | Ease of Use (w=3) | Durability (w=2) | Cost (w=1) |
|---|---|---|---|
| A | 4 | 5 | 2 |
| B | 5 | 3 | 4 |
| C | 3 | 4 | 5 |
- A.11
- B.24
- C.22
- D.26
Show the worked solution ▾
Answer: B. 24
- Step 1: Weight each cell for Option A: Ease of Use: 4 times 3 equals 12. Durability: 5 times 2 equals 10. Cost: 2 times 1 equals 2.
- Step 2: Add the products: 12 plus 10 plus 2 equals 24.
Why it's right: Option A: (4x3) + (5x2) + (2x1) = 12 + 10 + 2 = 24.
- A: 11 just adds the ratings (4 + 5 + 2) and forgets the weights.
- C: 22 is Option C's total, not Option A's.
- D: 26 adds an extra 2, miscounting the Cost product.
Aligned to BI 3.1: computing a weighted total · reading level ~grade 9
- A design team fills a weighted matrix for three prototypes so their final choice is backed by numbers in a report.
Fill these in as you work through the lesson.
- Decision matrix (a table of options scored against criteria):
- Criterion (one thing you judge each option on):
- Weight (how much a criterion matters):
- Weighted score (rating times weight, then summed):
For each option, multiply every rating by its criterion's , then those products to get the option's weighted .
- Why give some criteria a bigger weight than others?
- What does a weighted score let you compare that a plain rating does not?
- If two options tie on weighted total, what could you do next?
A criterion 'Safety' has weight 3 and an option scores 4 on it. Find that one cell's weighted value, then explain how you would finish the option's total.
