Lesson 2c.04

2c.04 Compare different data sets using appropriate calculated or given measure of spread:... Quiz: Pearson Edexcel Statistics, Unit 2

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson 2c.04, Compare different data sets using appropriate calculated or given measure of spread:...: 20 multiple choice questions for the Pearson Edexcel GCSE Statistics (1ST0), Unit 2: Processing, representing and analysing data, written with Revision Ninja.

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The 20 questions

  1. Which measure of spread should be paired with the median?

    • Mode
    • IQR
    • Mean
    • Standard deviation

  2. Set A has range 40 and IQR 10. Set B has range 25 and IQR 15. Which set has more spread in the middle 50%?

    • Set B
    • Set A
    • They are equal
    • Cannot tell

  3. Set A has range 40 and set B has range 25. Which set has greater overall spread?

    • Cannot tell
    • Set A
    • They are equal
    • Set B

  4. Which standard deviation indicates a greater spread about the mean?

    • 5
    • 8
    • 3
    • 0

  5. What does a larger interquartile range indicate about the middle half of a data set?

    • Greater spread
    • Smaller range
    • Lower average
    • Higher median

  6. Set X has LQ 20 and UQ 30. Set Y has LQ 25 and UQ 45. Which set is more spread out in the middle half?

    • Cannot tell
    • Set Y
    • They are equal
    • Set X

  7. If two data sets have different medians and similar IQRs, what does this show?

    • Equal ranges
    • Different centres
    • Identical data
    • Different spreads

  8. Why should the range be used with caution when comparing data sets?

    • Always equals zero
    • Ignores middle values
    • Affected by extremes
    • Only uses quartiles

  9. Set P has range 100 and IQR 4. Set Q has range 20 and IQR 6. Which set probably has a single extreme value?

    • Neither
    • Both
    • Set P
    • Set Q

  10. Set B has a median of 35 and IQR of 12. Set A has median 30 and IQR 4. Which set is more variable in the middle half?

    • Set A
    • Both equal
    • Set B
    • Neither

  11. Rainfall in one town ranges from 0 to 100 and in another from 40 to 60. Which is more consistent?

    • They are equal
    • Cannot tell
    • The 0 to 100 set
    • The 40 to 60 set

  12. Set A has LQ 5 and UQ 15. Set B has LQ 10 and UQ 20. Which has the larger IQR?

    • Set A
    • Set B
    • Cannot tell
    • They are equal

  13. What is best practice when choosing a measure of spread to compare two data sets?

    • Always use IQR
    • Use the larger range
    • Always use standard deviation
    • Use the same measure

  14. Which two values bound the middle half of a data set when reporting the median?

    • Min and max
    • Quartiles
    • Range and IQR
    • Mean and mode

  15. If two data sets have equal ranges, what can be said about their interquartile ranges?

    • May differ
    • Must be equal
    • Must be zero
    • Must be larger

  16. Higher tier: set A has SD 2.5 and set B has SD 4.8, with the same mean. Which has greater spread?

    • Set A
    • Cannot tell
    • They are equal
    • Set B

  17. Equal IQRs with a significantly larger range in set B suggests what feature in set B?

    • Extreme values
    • Fewer data points
    • Normal distribution
    • Smaller median

  18. Higher tier: set X has 10th percentile 4 and 90th percentile 24. Set Y has 10th percentile 6 and 90th percentile 16. Which set has more spread across the central 80%?

    • Set Y
    • Set X
    • Cannot tell
    • They are equal

  19. Two sets have equal IQRs of 14 but different medians of 50 and 80. What is equal?

    • Overall range
    • Middle-half spread
    • Central tendency
    • Maximum values

  20. Two sets have the same IQR but very different outliers. Which spread measure would reveal the outlier difference?

    • IQR
    • Range
    • Mode
    • Median

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