Why samples vary
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Log in to continueCompare sample proportions and investigate how sample size affects variation.
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In a random sample of 20 students, 7 choose a proposed activity. What percentage of this sample chose it? Give your answer to 2 decimal places.
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Answer: 35.00%
- The sample proportion is 7/20.
- Multiply by 100: 35.00%. This is a sample result, not an exact population percentage.
- 7 ÷ 20 = 7/20.
- 7/20 × 100 = 35.
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Curriculum reference
Victorian Curriculum F–10 Version 2.0
Pi Leo practice scope
Compare sample proportions and investigate how sample size affects variation.
Read the official VCAA curriculum description (VC2M8ST03)
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Activities to practise beyond the quiz
- Supported by the guided activity; selecting an MCQ does not demonstrate this action.
- VC2M8ST03-C01Calculate and compare proportions from samples.
- VC2M8ST03-C02Explain random variation and the usual effect of larger samples.
- VC2M8ST03-C03Investigate and compare variation across repeated samples and sample sizes.
- VC2M8ST03-C04Apply and explain why samples vary using read and connect representations.
- VC2M8ST03-C05Apply and explain why samples vary using calculate and explain each step.
- VC2M8ST03-C06Apply and explain why samples vary using compare evidence and check a claim.
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Subskills
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Descriptor-derived subskills
- D01Turn counts into proportionsCalculate and compare proportions from samples.
- D02Repeat before you concludeExplain random variation and the usual effect of larger samples.
- D03Read and connect representationsApply and explain why samples vary using read and connect representations.
- D04Calculate and explain each stepApply and explain why samples vary using calculate and explain each step.
- D05Compare evidence and check a claimApply and explain why samples vary using compare evidence and check a claim.