S3 Histograms, grouped data and cumulative frequency graphs Quiz: AQA Maths, Unit 6

The 20 questions

1. (H) In a histogram, what is plotted on the vertical axis?

   • Cumulative frequency
   • Class midpoint
   • Frequency density
   • Class width

2. (H) A histogram bar for the class 20 to 30 has a frequency density of 1.8. What is the frequency of this class?

   • 1.8
   • 18
   • 28
   • 0.18

3. (H) A cumulative frequency table shows 4 values up to x = 10 and 15 values up to x = 20. How many values lie between 10 and 20?

   • 15
   • 7
   • 11
   • 19

4. (H) A cumulative frequency graph is drawn for 80 values. What cumulative frequency is used to read the median?

   • 40
   • 80
   • 60
   • 20

5. What is the class width of the class 10 up to but not including 20?

   • 30
   • 20
   • 10
   • 15

6. (H) A histogram bar for the class 10 to 25 has a frequency of 30. What is its frequency density?

   • 2
   • 45
   • 30
   • 0.5

7. What is the modal class in a grouped frequency table?

   • The class containing the median
   • A class with zero frequency
   • The class with the highest frequency
   • The class with the lowest frequency

8. (H) For a set of 60 values on a cumulative frequency graph, which cumulative frequency is used to read the median?

   • 15
   • 30
   • 60
   • 45

9. (H) A histogram bar has class width 5 and frequency density 6. What is its frequency?

   • 1.2
   • 60
   • 11
   • 30

10. (H) A histogram bar has a frequency of 42 and a class width of 6. What is its frequency density?

    • 48
    • 36
    • 7
    • 0.14

11. (H) Four classes have frequencies 4, 9, 12 and 5. What is the cumulative frequency at the end of the third class?

    • 30
    • 12
    • 25
    • 21

12. A data set has 80 values. In which position is the median found?

    • 20
    • 80
    • 40.5
    • 40

13. (H) A histogram bar with class width 4 has a frequency density of 2.5. What is its frequency?

    • 0.4
    • 6.5
    • 1.6
    • 10

14. (H) A cumulative frequency graph is drawn for 80 values. Which cumulative frequency is used to read the lower quartile?

    • 60
    • 10
    • 40
    • 20

15. (H) A cumulative frequency graph is drawn for 80 values. Which cumulative frequency is used to read the upper quartile?

    • 40
    • 60
    • 80
    • 20

16. What is used to estimate the mean of grouped data?

    • The class widths only
    • The class midpoints
    • The upper boundaries only
    • The lower boundaries only

17. (H) A histogram has class 0 to 10 and class 10 to 30 with frequency 30 in the second class. What is the frequency density of the second class?

    • 30
    • 3
    • 0.67
    • 1.5

18. (H) Grouped data: class 0 to 10 has midpoint 5 and frequency 4; class 10 to 20 has midpoint 15 and frequency 6. What is the estimated mean?

    • 10
    • 11
    • 15
    • 12

19. (H) A cumulative frequency graph gives an upper quartile of 45 and a lower quartile of 20. What is the interquartile range?

    • 25
    • 2.25
    • 65
    • 10

20. (H) A histogram class from 40 to 50 has frequency density 3 and class width 10. What is its frequency?

    • 30
    • 3
    • 0.3
    • 300

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