S4 interpret, analyse and compare the distributions of data sets from univariate... Quiz: Pearson Edexcel Maths, Unit 6

The 20 questions

1. What is the middle value of a data set when ordered?

   • Range
   • Mode
   • Mean
   • Median

2. Which measure of spread is affected most by outliers?

   • Median
   • Interquartile range
   • Range
   • Lower quartile

3. Find the mean of the data 3, 7, 7, 9 and 14.

   • 9
   • 7
   • 14
   • 8

4. Find the median of the data 2, 5, 5, 8, 10 and 12.

   • 6.5
   • 8
   • 5
   • 7

5. What is the mode of 4, 6, 6, 6, 9 and 9?

   • 9
   • 4
   • 7
   • 6

6. What is the range of a data set whose smallest value is 12 and largest is 47?

   • 35
   • 12
   • 47
   • 59

7. A box plot has minimum 4, lower quartile 10, median 14, upper quartile 22 and maximum 30. What is the IQR?

   • 14
   • 26
   • 12
   • 18

8. Box A has IQR 8 and Box B has IQR 3. Which has more spread in the middle 50%?

   • Cannot be determined
   • Box B
   • Box A
   • Both are equal

9. In a grouped frequency table, classes 0–10 (frequency 4), 10–20 (frequency 9) and 20–30 (frequency 6). What is the modal class?

   • 20–30
   • 0–10
   • 10–20
   • 30–40

10. Ten values are grouped: 4 values in 0–10 (midpoint 5) and 6 values in 10–20 (midpoint 15). Estimate the mean.

    • 12
    • 9
    • 11
    • 10

11. Using the rule that outliers lie more than 1.5 × IQR above the upper quartile, with UQ = 30 and IQR = 12, what value is the boundary?

    • 36
    • 56
    • 48
    • 42

12. Data set is 1, 2, 3, 4, 100. Which average best describes a typical value?

    • Range
    • Mean
    • Median
    • Total

13. Five values have mean 7. A sixth value 13 is added. What is the new mean?

    • 13
    • 7
    • 8
    • 9

14. Which measure of central tendency is shown as the line inside the box of a box plot?

    • Mode
    • Mean
    • Median
    • Range

15. Ten values are 1, 1, 1, 2, 2, 2, 2, 2, 3 and 3. What is the median?

    • 3
    • 2.5
    • 2
    • 1

16. What percentage of data does the interquartile range cover?

    • Entire data set
    • Bottom 50 percent
    • Middle 50 percent
    • Top 25 percent

17. Team X has mean 62 and range 10. Team Y has mean 58 and range 30. Which is more consistent?

    • Team X
    • Team Y
    • Cannot tell
    • Both equal

18. Set A has range 4 and set B has range 20, with equal means. Which set has less spread?

    • Set A
    • Cannot tell
    • Both equal
    • Set B

19. The median of seven values 3, 5, 7, 9, 11, 13, 15 is 9. If the 3 changes to 1, what happens to the median?

    • It changes to 6
    • It stays at 9
    • It changes to 5
    • It changes to 7

20. A grouped table has total frequency 40, cumulative frequency 18 at 20 and 26 at 30. Which class contains the median?

    • 20–30
    • 30–40
    • 40–50
    • 10–20

Related quizzes

• use and interpret algebraic manipulation, including Quiz · A1 · 20 questions
• use conventional terms and notations Quiz · G1 · 20 questions
• order positive and negative integers, decimals and fractions Quiz · N1 · 20 questions
• record, describe and analyse the frequency of outcomes of probability experiments... Quiz · P1 · 20 questions
• change freely between related standard units (e.g. time, length, area,... Quiz · R1 · 20 questions
• substitute numerical values into formulae and expressions, including scientific formulae Quiz · A2 · 20 questions
• use the standard ruler and compass constructions (perpendicular bisector of a line... Quiz · G2 · 20 questions
• apply the four operations, including formal written methods, to integers, decimals and... Quiz · N2 · 20 questions
• apply ideas of randomness, fairness and equally likely events to calculate expected... Quiz · P2 · 20 questions
• understand and use the concepts and vocabulary of expressions, equations, formulae,... Quiz · A3 · 20 questions