VC2M9ST02 Official strand: Statistics

Sampling choices and visual messages

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Explain how samples and chart design can change the impression created by a survey.

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A survey aims to describe preferred lunch type across an entire school. Which sample design is most likely to represent that school?

AAsk only students in one sports team BRandomly select students across all year levels CUse only volunteers from one lunchtime club DAsk only the investigator’s friends

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Answer: Randomly select students across all year levels

The target population is the whole school.
Including year levels and random selection reduces obvious selection bias.
It does not remove non-response or every possible source of bias.

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Curriculum reference

Victorian Curriculum F–10 Version 2.0

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Explain how samples and chart design can change the impression created by a survey.

Read the official VCAA curriculum description (VC2M9ST02)

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Supported by the guided activity; selecting an MCQ does not demonstrate this action.

VC2M9ST02-C01Compare a sample’s selection method with its target population.
VC2M9ST02-C02Investigate variation across repeated samples using the same sampling method.
VC2M9ST02-C03Inspect axes, scale and presentation before interpreting a chart.
VC2M9ST02-C04Create alternative representations and evaluate their effect on interpretation.
VC2M9ST02-C05Apply and explain sampling choices and visual messages using read and connect representations.
VC2M9ST02-C06Apply and explain sampling choices and visual messages using calculate and explain each step.
VC2M9ST02-C07Apply and explain sampling choices and visual messages using compare evidence and check a claim.

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Subskills

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Descriptor-derived subskills

D01
Who is included?Compare a sample’s selection method with its target population.
D02
Check the visual claimInspect axes, scale and presentation before interpreting a chart.
D03
Read and connect representationsApply and explain sampling choices and visual messages using read and connect representations.
D04
Calculate and explain each stepApply and explain sampling choices and visual messages using calculate and explain each step.
D05
Compare evidence and check a claimApply and explain sampling choices and visual messages using compare evidence and check a claim.