ACARA AC9M9ST03, Compare data distributions

Year 9 · Statistics

Represent several numerical data sets with comparative displays and compare their centre, spread, shape and the effect of outliers.

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Deliver a whole lesson on AC9M9ST03 from a textbook-grade teaching unit, with a hook, worked examples, diagrams, misconceptions, and an exit ticket.

Boxplots and the five-number summary

Year 10 (ages 15 to 16)

Teaching guide

What students learn

Represent several numerical data sets with comparative displays and compare their centre, spread, shape and the effect of outliers.

How to teach it

Put several numerical data sets side by side with comparative displays, then compare centre, spread and shape and discuss the effect of any outliers.

Worked example

Data set (already sorted): 1, 17, 20, 23, 33, 37, 41, 50. Find the minimum.

Answer: 1

Why: five-number summary: min 1, Q1 18.5, median 28, Q3 39, max 50

Generated and checked in code, so it is correct.

Watch out for

Comparing displays that use different scales, and ignoring how an outlier pulls the mean and range.

Statistics worksheets

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Grade 9 Statistics

Set A · PDF · answer key with Pro

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More Year 9 Statistics codes: AC9M9ST01 · AC9M9ST02 · AC9M9ST04 · AC9M9ST05

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Australian Curriculum content descriptions (c) ACARA, used under CC BY 4.0. Descriptions are paraphrased. See australiancurriculum.edu.au.