S3 construct and interpret diagrams for grouped discrete data and continuous data, i.e.... Quiz: Pearson Edexcel Maths, Unit 6

The 20 questions

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

   • Frequency density
   • Cumulative frequency
   • Frequency only
   • Class width

2. How is frequency density calculated?

   • Frequency ÷ midpoint
   • Frequency ÷ class width
   • Class width ÷ frequency
   • Frequency × class width

3. In a histogram, what does the area of each bar represent?

   • The frequency
   • The frequency density
   • The cumulative frequency
   • The class width

4. A class 10 to 20 has frequency 15. What is the frequency density?

   • 15
   • 1.5
   • 150
   • 0.67

5. A bar for the class 30 to 50 has frequency density 2.5. What is its frequency?

   • 2.5
   • 50
   • 125
   • 20

6. Cumulative frequency is found from class frequencies 3, 5, 8 and 4. What is the cumulative frequency at the third class?

   • 5
   • 20
   • 16
   • 8

7. A cumulative frequency graph is drawn for 60 values. At what cumulative frequency is the median read?

   • 30
   • 60
   • 15
   • 20

8. A cumulative frequency graph has lower quartile 15 and upper quartile 35. What is the interquartile range?

   • 20
   • 35
   • 50
   • 15

9. A histogram has class 0 to 10 with frequency 20 and class 10 to 30 with frequency 40. What is the frequency density of 10 to 30?

   • 0.5
   • 40
   • 20
   • 2

10. A class has frequency density 3 and width 20. What is its frequency?

    • 3
    • 20
    • 120
    • 60

11. Why does a histogram use frequency density for unequal class widths?

    • Width equals frequency
    • Height represents total
    • Mean equals density
    • Area represents frequency

12. At which point on the x-axis are cumulative frequency values plotted?

    • Lower class boundary
    • Upper class boundary
    • Class width
    • Class midpoint

13. A cumulative frequency graph for 50 values shows 25 at the value 40. What is the median?

    • 50
    • 25
    • 40
    • 20

14. A histogram has class 10 to 20 with frequency 20. What is the frequency density of this class?

    • 20
    • 10
    • 1
    • 2

15. Cumulative frequency at 30 is 42 and at 20 is 18. How many values are in the class 20 to 30?

    • 24
    • 60
    • 42
    • 18

16. Class 0 to 4 has frequency 12. Class 4 to 10 has frequency 24. Which class has the greater frequency density?

    • They are equal
    • 4 to 10, with density 4
    • It cannot be found
    • 0 to 4, with density 3

17. For 200 values, at what cumulative frequency is the upper quartile read?

    • 100
    • 50
    • 200
    • 150

18. A class 20 to 50 has width 30 and frequency 60. What is its frequency density?

    • 60
    • 0.5
    • 30
    • 2

19. A histogram of 100 values has 0 to 10 with frequency density 2, 10 to 30 with frequency density 1.5, and 30 to 50 unknown. What is the frequency of 30 to 50?

    • 30
    • 40
    • 50
    • 20

20. What does the steepest section of a cumulative frequency graph indicate?

    • Greatest rate of change
    • Lowest rate of change
    • Constant data values
    • Maximum value reached

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