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

The 20 questions

1. Which phrase best defines the median of an ordered set of data?

   • The middle value
   • The most frequent
   • The total sum
   • The arithmetic mean

2. How is the range of a numerical data set calculated?

   • Maximum plus minimum
   • Upper minus lower quartile
   • Median minus mean
   • Maximum minus minimum

3. Which two values define the ends of the box on a box plot?

   • Lower and upper quartiles
   • Median and mean
   • Lower quartile and median
   • Minimum and maximum

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 statistical term for the most frequent value in a data set?

   • Mode
   • Mean
   • Range
   • Median

6. What term describes data values that lie unusually far from the rest?

   • Outliers
   • Quartiles
   • Modes
   • Midpoints

7. How is the mean average of a numerical data set calculated?

   • Maximum minus minimum
   • Sum divided by count
   • Most frequent value
   • Middle value found

8. Which average is generally preferred when data contains extreme outliers?

   • Mean
   • Median
   • Mode
   • Range

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 range 10 and Class B has range 30. Which class has more spread?

    • Both are equal
    • Class B
    • Class A
    • Neither class

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. Which measure of spread is represented by the length of the box on a box plot?

    • Range
    • Standard deviation
    • Interquartile range
    • Variance

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

    • 7
    • 8
    • 14
    • 10

18. Upper quartile is 40 and IQR is 10. What is the upper outlier boundary?

    • 65
    • 25
    • 50
    • 55

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

    • 56
    • 12
    • 8
    • 16

20. Data set A has range 5 and data set B has range 12. Which is more consistent?

    • Both are equal
    • Data set A
    • Neither set
    • Data set B

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