Reach for the Star

Comparing distributions pathway · Optional extension

L079 · Allow 10–15 minutes for learners ready to move on. Answers are available after an attempt.

Stretch

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

Reveal a worked check after attempting

A IQR=12, B IQR=7; B has less middle-half spread.

Deep challenge

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

Reveal a worked check after attempting

Yes. Its typical value is higher but its middle half is more variable.

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.