Unit 6 · Identifying Sufficient Information

47 vs 18 Detentions — Is That a Fair Comparison?

Lesson 6 of 12

Premium

About this lesson

Ms Flint sees that Class 1 got 47 detentions and Class 2 got only 18, and immediately concludes Class 2 students are better behaved. But wait — did she ask whether both teachers use detention the same way? This question introduces one of the most important critical thinking concepts: a number is only a fair comparison if the measuring stick is the same for everyone.

Chapters

0:00Introduction
0:22The Question
1:25Step 1: Identify Ms Flint's reasoning
1:52Step 2: Spot the hidden assumption
2:21Step 3: Test each option
3:02Correct answer

Question

| The school principal, Ms Flint, is looking at the school records for last term to see which class has the best-behaved students.

She notices that students in Class 1, who are taught by Mr Avery, were given 47 lunchtime detentions in total last term. Students in Class 2, who are taught by Mr Bailey, were only given 18.

Ms Flint: "That's interesting – it clearly shows that students in Class 2 are much better behaved than students in Class 1."

Which one of the following sentences shows the mistake Ms Flint has made?

Free account · OC

Take your OC prep further

  • Sample questions & worked solutions across core OC topics
  • Digital exam simulator with interactive practice sets
  • Personalised progress tracking across all your devices
Create free account

Already have an account? Log in here

No payment required. Compare OC plans

0 of 12 lessons completed

0%

Give Your Child the Best Chance at OC Entry

Join NSW families preparing their children for the Opportunity Class Placement Test with the most realistic online OC practice tests available. First tests free—no credit card required.

Claim Your Free OC Practice Tests