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Grade 10 · lesson 1 of 4

Calculate a Stated Error-Cost Model

Multiply each error count by its stated weight and add the two contributions.

About 22 minutes, plus any extended practice

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Supplied materials

  • Paper and pencil; answers may also be spoken or typed.
  • All cases, labels, numbers and rules are supplied on this page. No real account, private information or purchase is needed.

Learn the idea

Different model errors can have different consequences. A fictional decision policy may assign weights to false positives and false negatives. Multiplying counts by those weights gives a bounded cost model, not a universal value judgment or a true measurement of every harm.

Multiply each error count by its stated weight and add the two contributions. Do not assume equal error counts mean equal modeled consequences.

Use this supplied case: Fictional policy: each false positive costs 2 points; each false negative 5 points. FP=2,FN=1. Total modeled error cost? The task is to connect the given information to the computing idea. Write a short evidence trail so another learner can reproduce your choice. The simplified case describes the stated model, not every real system.

  1. Represent the supplied worked case with a labeled drawing, table or short trace.
  2. Multiply each error count by its stated weight and add the two contributions.
  3. Explain why the worked answer fits and why one alternative does not.
  4. Try the new check and practice cases; revisit the stated rule if your evidence does not match.
Worked example

See the method in action

Fictional policy: each false positive costs 2 points; each false negative 5 points. FP=2, FN=1. Total modeled error cost? The supported answer is 9 points. Applying the stated rule gives 9 points. Multiply each error count by its stated weight and add the two contributions. Do not assume equal error counts mean equal modeled consequences. Calculation: ((2*2)+(5*1)) = 9.

Your turn

Check your reasoning

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Helpful tips
  • Multiply each error count by its stated weight and add the two contributions.
  • Do not assume equal error counts mean equal modeled consequences.
Fictional policy: each false positive costs 2 points; each false negative 5 points. FP=3,FN=2. Total modeled error cost?

Feedback appears here after you check. This is practice, not a graded school assessment.

See the answer and explanation

16 points

Using the supplied inputs: ((2*3)+(5*2)) = 16. Multiply each error count by its stated weight and add the two contributions. Do not assume equal error counts mean equal modeled consequences.

Take it further

New cost weights FP 3, FN 7 with FP 2, FN 3 give 6+21=27 points. This is the stated model’s cost, not a complete measurement of real harms.

Nothing here is saved to an account or sent to a teacher. The answer download includes your current choice and any checked feedback. It does not include choices from the separate More practice section. Download that section separately.

More practice: try new cases

Choose an answer for each problem. Explain your method on paper, then use the feedback to decide what to revisit.

More practice: try new cases
1. Fictional policy: each false positive costs 2 points; each false negative 5 points. FP=4,FN=1. Total modeled error cost?
Need a hint?
  • Multiply each error count by its stated weight and add the two contributions.
  • Do not assume equal error counts mean equal modeled consequences.
2. Fictional policy: each false positive costs 2 points; each false negative 5 points. FP=2,FN=3. Total modeled error cost?
Need a hint?
  • Multiply each error count by its stated weight and add the two contributions.
  • Do not assume equal error counts mean equal modeled consequences.
3. Fictional policy: each false positive costs 2 points; each false negative 5 points. FP=5,FN=2. Total modeled error cost?
Need a hint?
  • Multiply each error count by its stated weight and add the two contributions.
  • Do not assume equal error counts mean equal modeled consequences.

Your choices are temporary. Feedback appears after you check all the answers.

Nothing here is saved to an account or sent to a teacher. Keep your own notes or download them before leaving. The score describes these questions; it does not certify subject mastery.

Check the subject sources

These LifeStarter passages, scenarios and exercises are authored for this Academy with AI assistance and review. External resources keep their publishers’ terms. A grade label suggests a starting level; it does not establish alignment with your school’s complete requirements.