Reach for the Star | GCSE Mathematics

L048: Statistical comparisons

Objective

Compare distributions using context, a typical value and spread.

Calculator: Non-calculator core; calculator optional only for checking where labelled.

Visual model for Statistical comparisons
Points route: Connect 2 · Share 2 · Apply 6 · Review 3 · Stretch 2 · Deep Challenge 3. Record your score honestly after you have checked your answer.

Recall

Retrieve the key fact or method needed for statistical comparisons.

Core practice

Class A has median 14 and IQR 3; class B median 16 and IQR 9. Compare typical score and consistency.

Reasoning

Two groups share mean 20. One has range 2 and the other 30. What can and cannot be concluded?

Exam-style

Solve an exam-style problem involving statistical comparisons. Show working, include a check and interpret your answer.

WWW / EBI

Recall & Review: feedback and extension integration

Lesson L048: Statistical comparisons

Objective: Compare distributions using context, a typical value and spread.

60-minute structure: 0-7 Connect & Check; 7-14 Share; 14-25 Present/model; 25-44 Apply route choice/practice; 44-52 independent exam-style check; 52-60 Recall & Review, WWW/EBI and next step.

What Went Well (WWW)

I selected an appropriate statistic or representation and supported my comparison or interpretation with specific evidence from the data.

Even Better If (EBI)

I will quote the relevant values or features, compare like with like and explain what the evidence shows without making an unsupported claim.

Stretch and deep challenge

Stretch: Class A has median 14 and IQR 3; class B median 16 and IQR 9. Compare typical score and consistency.

Deep challenge: Two groups share mean 20. One has range 2 and the other 30. What can and cannot be concluded?