AQA · Mathematics · 8300
GCSE Maths: Sampling: using samples
Statistics · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions for Sampling: using samples (Corbettmaths Video 281), and every card links back to the exact page it came from. Practice tests are drawn from this deck’s own cards. Source material © Corbettmaths — used with attribution.
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What is the formula for estimating a population value from a sample?
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(Sample proportion) × (Total population size)
Why might surveying only over 60 year olds not provide reliable data for an entire village?
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The sample is not representative - it excludes younger age groups who may have different library usage patterns.
What assumption do you make when using a sample to estimate future population values?
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That the sample is representative of the population, or that the proportions in the sample will remain the same in the future.
How can you improve the accuracy of an estimate based on a sample?
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Increase the sample size (take a larger sample).
To estimate how many in a population of 960 have a characteristic, when 18 out of 30 in a sample have it, calculate: ?
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(18/30) × 960
What does it mean for a sample to be representative?
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A sample is representative when it accurately reflects the characteristics and diversity of the entire population being studied.
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