2b.01 Calculate averages for discrete and grouped data: mode, median, arithmetic mean,... Quiz: Pearson Edexcel Statistics, Unit 2

The 20 questions

1. A frequency table has values 1, 2 and 3 with frequencies 2, 3 and 5. What is the mode?

   • 2.6
   • 3
   • 2
   • 5

2. Values 2, 4, 4, 6 and 9 are recorded. What is the median?

   • 6
   • 4.6
   • 5
   • 4

3. Three values are 10, 12 and 20. What is their arithmetic mean?

   • 15
   • 14
   • 13
   • 12

4. A frequency table has value 1 with frequency 2, value 2 with frequency 4 and value 3 with frequency 4. What is the mean?

   • 2.2
   • 2.5
   • 1.9
   • 2

5. Grouped data: class 10 to 20 has frequency 4 and midpoint 15; class 20 to 30 has frequency 6 and midpoint 25. Estimate the mean.

   • 21
   • 22.5
   • 20
   • 25

6. Grouped data of 20 values: 0 to 10 has 5, 10 to 20 has 10 and 20 to 30 has 5. Estimate the median using linear interpolation.

   • 20
   • 12.5
   • 15
   • 10

7. A set of 5 values has mean 4. A sixth value of 10 is added. What is the new mean?

   • 4
   • 6
   • 10
   • 5

8. Adding 3 to every value in a data set changes the mean how?

   • It doubles
   • It is unchanged
   • It decreases by 3
   • It increases by 3

9. Multiplying every value in a data set by 2 changes the median how?

   • It halves
   • It is unchanged
   • It doubles
   • It increases by 2

10. What is the mode of the dataset: 2, 2, 3, 3, 3, 5, 6?

    • 2
    • 5
    • 3
    • 6

11. Five values are 1, 2, 3, 4 and 10, with mean 4. If 10 is removed, what is the new mean?

    • 5
    • 2.5
    • 3
    • 4

12. Grouped data: class 40 to 50 has frequency 3 and midpoint 45; class 50 to 60 has frequency 1 and midpoint 55. Estimate the mean.

    • 52
    • 50
    • 45
    • 47.5

13. Which values are used to calculate the median of a data set containing 10 items?

    • 6th and 7th
    • 5th and 6th
    • 5th only
    • 4th and 5th

14. Four values have a mean of 7. What is their total?

    • 1.75
    • 4
    • 28
    • 11

15. Every value in a data set is reduced by 5. How does the mode change?

    • It decreases by 5
    • It is removed
    • It doubles
    • It is unchanged

16. Six values have a mean of 10. A seventh value of 3 is added. What is the new mean?

    • 10
    • 7.5
    • 9
    • 8

17. Why is the calculated mean of grouped continuous data only an estimate?

    • Midpoints are used
    • Frequencies ignored
    • Exact values known
    • Class widths differ

18. Values 2, 5, 8 and 11 have mean 6.5. Each value is multiplied by 3 and then 4 is added. What is the new mean?

    • 19.5
    • 26
    • 23.5
    • 6.5

19. Ordered values 2, 4, 6, 8, 10, 12 and 14 have a median of 8. A value of 100 is added. What is the new median?

    • 10
    • 9
    • 8
    • 12

20. A class has mean 60 across 12 values. If the lowest value, 12, is removed, what is the new mean to one decimal place?

    • 60.0
    • 63.6
    • 64.4
    • 72.0

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