AQA · Mathematics · 8300

GCSE Maths: Averages: Distributions

Statistics · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions and answers for Averages: Distributions (Corbettmaths Video 57), 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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  1. When comparing two distributions, which two key features should typically be compared?

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    A measure of average (mean or median) and a measure of spread (range or interquartile range).

  2. What statistical measure describes the 'spread' of a distribution?

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    The range (or interquartile range). The range is the difference between the highest and lowest values.

  3. In the golf club data, the mean age of members was 50.7 and non-members was 34.1. What does this comparison tell us?

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    The average age of members is greater than (or higher than) the average age of non-members.

  4. In the revision study, students who revised 10+ hours had a mean test score of 63.4 versus 48.8 for those who revised less. What does this suggest?

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    Students who revised more performed better on average than those who revised less.

  5. If one distribution has a range of 57 and another has a range of 31, which distribution is more spread out?

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    The distribution with a range of 57 is more spread out, as it has a larger range.

  6. Pizza Time had a mean delivery time of 48.1 minutes while Burger World and Chips'R'us had means of 25.4 and 27.1 minutes. What does this comparison show?

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    Pizza Time was much slower on average to deliver than the other two restaurants.

  7. In the talent competition, 68% of performers were singers and 32% were dancers. What does this tell us about proportions?

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    The majority of performers were singers (more than half).

  8. Singers had a mean score of 8.1 and dancers had a mean score of 6.2. How should this be interpreted?

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    On average, singers scored better (or higher) than dancers.

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