Lesson S4

S4 Comparing distributions: box plots, averages, range and quartiles Quiz: AQA Maths, Unit 6

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson S4, Comparing distributions: box plots, averages, range and quartiles: 20 multiple choice questions for the AQA GCSE Maths (8300), Unit 6: Statistics, written with Revision Ninja.

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The 20 questions

  1. What is the median of a data set?

    • The middle value when the data are in order
    • The most common value
    • The total divided by two
    • The average of the largest and smallest values

  2. What is the range of a data set?

    • The sum of all the values in the data set
    • The value that occurs most often in the data set
    • The middle value of the data set, once ordered
    • The largest value minus the smallest value

  3. (H) On a box plot, which two values form the ends of the box?

    • Lower quartile and upper quartile
    • The mean and the mode of the whole data set
    • The median and the range of the values in the set
    • The minimum value and the maximum value of the data set

  4. (H) What is the interquartile range when the upper quartile is 18 and the lower quartile is 7?

    • 25
    • 18
    • 7
    • 11

  5. What is the mode of a data set?

    • The most frequent value
    • The middle value
    • The difference between highest and lowest
    • The average

  6. What are outliers?

    • Values far away from the rest of the data
    • Values that are equal to zero in the data
    • The median values, which sit in the middle
    • The most common values, which occur frequently

  7. What does the mean equal?

    • The middle value of the data once it is ordered
    • The sum of the values divided by the number of values
    • The largest value minus the smallest value in the set
    • The most common value that occurs in the data

  8. When is the median preferred to the mean as a measure of average?

    • When all the data are equal
    • When the data contain extreme outliers
    • When the data are categorical
    • When there are exactly two values

  9. What is the median of 3, 5, 7, 9 and 11?

    • 9
    • 7
    • 5
    • 6

  10. What is the mean of 4, 8, 15, 15 and 20?

    • 15
    • 8
    • 11.8
    • 12.4

  11. What is the range of a data set whose smallest value is 2 and largest value is 19?

    • 17
    • 2
    • 19
    • 21

  12. (H) A box plot has a lower quartile of 12 and an upper quartile of 20. What is its interquartile range?

    • 4
    • 8
    • 16
    • 32

  13. Class A has median 40 and range 10. Class B has median 42 and range 30. Which statement is correct?

    • Both classes have the same range
    • Class B has a higher median and a larger range
    • Class A has a higher median and a larger range
    • Class B has a lower median

  14. What is the mode of the data 2, 4, 4, 6 and 9?

    • 4
    • 9
    • 5
    • 6

  15. Ten values have a total of 150. What is their mean?

    • 15
    • 10
    • 150
    • 1500

  16. (H) On a box plot, which measure of spread is shown by the length of the box?

    • The range of the whole data set
    • The mean of the data set
    • The standard deviation
    • The interquartile range

  17. (H) The data are 1, 3, 5, 7, 9, 11, 13 and 15. What is the interquartile range?

    • 7
    • 8
    • 14
    • 10

  18. (H) For a data set with upper quartile 40 and interquartile range 10, the outlier rule is 1.5 times the interquartile range above the upper quartile. Is a value of 60 an outlier?

    • No, because the interquartile range cannot detect outliers
    • No, because it is below 55
    • Yes, because it equals the median
    • Yes, because it is above the upper limit of 55

  19. (H) Five values have mean 12 and four of them total 44. What is the fifth value?

    • 56
    • 12
    • 8
    • 16

  20. (H) Two data sets both have mean 10. One has range 5 and the other has range 12. Which is more consistent?

    • Both are equally consistent
    • The data set with range 5
    • It cannot be decided
    • The data set with range 12

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