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Box and whisker plots

Grades 6 and 7 (GCSE Higher tier in England) · 16 questions · Common Core: 6.SP.B.4, 6.SP.B.5.C, 7.SP.B.3, 7.SP.B.4 · England: GCSE Higher Statistics, KS3 Statistics, GCSE Foundation Statistics

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  1. Question 1

    Find the lower quartile (Q1) of: 13, 14, 18, 20, 22, 25, 27, 29, 32, 32, 38

    Answer

  2. Question 2

    A box plot of reaction times (hundredths of a second) shows: minimum 18, Q1 27, median 32, Q3 37, maximum 39. What is the range?

    Answer

  3. Question 3

    Find the lower quartile (Q1) of: 26, 46, 21, 17, 29, 22, 24, 31, 43, 45, 44

    Answer

  4. Question 4

    Minutes of daily reading. Hiro's group: 26, 14, 23, 11, 21, 30, 14. Kofi's group: 29, 20, 29, 17, 27, 36, 17. Using medians, which group typically reads for longer?

    • A. Hiro's group
    • B. Kofi's group
    • C. They are the same
  5. Question 5

    Find the interquartile range (IQR) of: 32, 31, 48, 42, 32, 22, 52, 29, 24

    Answer

  6. Question 6

    Two basketball players' points per game: Amara has median 18 and IQR 7; Tariq has median 18 and IQR 5. Who is more consistent?

    • A. Amara
    • B. Tariq
  7. Question 7

    Find the median: 18, 25, 29, 36, 32, 14

    Answer

  8. Question 8

    A box plot shows: minimum 9, Q1 16, median 24, Q3 31, maximum 34. What is the interquartile range?

    Answer

  9. Question 9

    Find the lower quartile (Q1) of: 5, 10, 12, 14, 18, 25, 29, 30, 30, 37, 39

    Answer

  10. Question 10

    A box plot of reaction times (hundredths of a second) shows: minimum 13, Q1 19, median 29, Q3 32, maximum 35. What is the range?

    Answer

  11. Question 11

    Find the lower quartile (Q1) of: 9, 37, 10, 16, 35, 45, 40, 25, 20, 9, 10

    Answer

  12. Question 12

    Minutes of daily reading. Chloe's group: 10, 11, 29, 17, 23, 21, 17. Leo's group: 21, 23, 40, 27, 35, 31, 26. Using medians, which group typically reads for longer?

    • A. Chloe's group
    • B. Leo's group
    • C. They are the same
  13. Question 13

    Find the interquartile range (IQR) of: 30, 13, 47, 41, 48, 18, 51, 37

    Answer

  14. Question 14

    Two basketball players' points per game: Ravi has median 18 and IQR 12; Leo has median 18 and IQR 10. Who is more consistent?

    • A. Ravi
    • B. Leo
  15. Question 15

    Find the median: 34, 36, 22, 20, 39, 12, 6, 37

    Answer

  16. Question 16

    A box plot shows: minimum 6, Q1 9, median 17, Q3 19, maximum 23. What is the median?

    Answer

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Answer key: Box and whisker plots

  1. 1. 18

  2. 2. 21

  3. 3. 22

  4. 4. B. Kofi's group

  5. 5. 18.5

  6. 6. B. Tariq

  7. 7. 27

  8. 8. 15

  9. 9. 12

  10. 10. 22

  11. 11. 10

  12. 12. B. Leo's group

  13. 13. 23.5

  14. 14. B. Leo

  15. 15. 28

  16. 16. 17