ACARA AC9M8ST03, Sample size and variation

Year 8 · Statistics

Compare distributions and proportions from equal-sized random samples and describe how sample size affects the variation.

Below are free printable maths worksheets that support AC9M8ST03. Print them as PDFs, or generate a fresh one. Every maths answer key is computed in code, so it is never wrong.

Teaching guide

What students learn

Compare distributions and proportions from equal-sized random samples and describe how sample size affects the variation.

How to teach it

Draw several equal-sized random samples from one population, compare their proportions, then increase the sample size and watch the variation settle down.

Worked example

Why do statisticians usually study a sample instead of the whole population?

Answer: Studying an entire population is often too costly, slow or impossible; a good sample can still give a reliable estimate

Generated and checked in code, so it is correct.

Watch out for

Expecting each sample to match the population exactly, and confusing sampling variation with a real change in the population.

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Grade 8 Statistics

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More Year 8 Statistics codes: AC9M8ST01 · AC9M8ST02 · AC9M8ST04

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