Reach for the Star | GCSE Mathematics

L079: Comparing distributions pathway

Objective

Compare distributions using suitable statistics and graphical evidence.

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

Visual model for Comparing distributions pathway
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 comparing distributions pathway.

Core practice

Group A has Q1=7,Q3=19; group B has Q1=10,Q3=17. Compare IQRs.

Reasoning

Can one distribution have both a higher median and a larger IQR than another? Explain the practical interpretation.

Exam-style

Solve an exam-style problem involving comparing distributions pathway. Show working, include a check and interpret your answer.

WWW / EBI

Recall & Review: feedback and extension integration

Lesson L079: Comparing distributions pathway

Objective: Compare distributions using suitable statistics and graphical evidence.

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 read or constructed the graph accurately, used the scale and axes correctly and linked the relevant gradient, intercept, shape or trend to my conclusion.

Even Better If (EBI)

I will label units and scale clearly, show the calculation or graphical evidence I used and check that the interpretation fits the context.

Stretch and deep challenge

Stretch: Group A has Q1=7,Q3=19; group B has Q1=10,Q3=17. Compare IQRs.

Deep challenge: Can one distribution have both a higher median and a larger IQR than another? Explain the practical interpretation.