Reach for the Star

Statistical comparisons · Optional extension

L048 · Allow 10–15 minutes for learners ready to move on. Answers are available after an attempt.

Stretch

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

Reveal a worked check after attempting

B has higher median; A has smaller middle-half spread and is more consistent by IQR.

Deep challenge

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

Reveal a worked check after attempting

The mean is the same and total spread differs; neither group is necessarily better in every observation.

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?