Lesson 2b.03

2b.03 Compare different data sets using appropriate calculated or given measure of central... Quiz: Pearson Edexcel Statistics, Unit 2

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson 2b.03, Compare different data sets using appropriate calculated or given measure of central...: 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. Group A has a mean of 12 and Group B has a mean of 15. What can be deduced?

    • Group B average is higher
    • Group B spread is higher
    • Group A spread is higher
    • Group A total is higher

  2. Two data sets share the same mean but have different medians. What does this suggest?

    • Equal sample sizes
    • Different skewness
    • Zero dispersion
    • Identical spreads

  3. Set A has a median of 40 and Set B has 35. What can be deduced?

    • Set B has greater spread
    • Set A is typically higher
    • Set B is typically higher
    • Set A has greater spread

  4. Set A has a mean of 20 and Set B has a mean of 25. Which statement is necessarily true?

    • Set B is higher
    • Cannot be known
    • Set A is higher
    • Both are equal

  5. Set A and Set B share a mean of 50, but ranges are 10 and 40. What follows?

    • Both are equal
    • Set B is wider
    • Set B has higher mean
    • Set A is wider

  6. Set A has mean 8.4 and set B has mean 7.9. What is the difference?

    • 0.3
    • 0.5
    • 1.3
    • 0.4

  7. Which average should be used to compare typical waiting times when one wait was extremely long?

    • Median
    • Total
    • Range
    • Mean

  8. Set X has median 60 and mean 58. Set Y has median 55 and mean 56. Which set is more likely to be negatively skewed?

    • Set X
    • Set Y
    • Both equally
    • Neither

  9. Set A has mean 12 from 10 values, and set B has mean 14 from 30 values. Which total is bigger?

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

  10. What must be checked first before comparing averages from two different samples?

    • Exact median value
    • Units and scale
    • Total dataset sum
    • Colour of charts

  11. Mean wages rose by 5% and median wages by 1%. What does this imply?

    • Lower earners gained
    • Wages fell overall
    • Top earners gained
    • Spread decreased

  12. Two classes have a mean score of 62, but modes of 55 and 70. What does this show?

    • Same sample sizes
    • Different distributions
    • Equal standard deviations
    • Identical performance

  13. Dataset A is mostly 1s with one 100. Dataset B is all 3s. Which comparison holds?

    • Median exceeds B
    • IQR exceeds B
    • Mean exceeds B
    • Range equals B

  14. Survey 1 has 50 people and Survey 2 has 500. Which mean estimate is more reliable?

    • Survey 2
    • Neither is valid
    • Survey 1
    • Both are equal

  15. Why should both the mean and median be reported when comparing data sets?

    • To find total frequency
    • To calculate the range
    • To reveal data skew
    • To check for outliers

  16. Group X mean is 45 and Group Y mean is 45. Group Y median is 52. What does this indicate?

    • Negative skew in Y
    • Positive skew in Y
    • Higher spread in X
    • No skew in Y

  17. Class A has mean 64 and class B has mean 58, each with 25 students. What is the difference in means?

    • 8
    • 6
    • 4
    • 5

  18. Shop data shows a mean price of £5.50 and a median of £4.00. What does this suggest?

    • High price outliers
    • Equal price distribution
    • Symmetrical distribution
    • Low price outliers

  19. When comparing sample sizes of 6 and 600, why is caution needed with the smaller sample?

    • Higher sample variability
    • Guaranteed normal distribution
    • Lower data accuracy
    • Zero standard deviation

  20. Why must averages on a bar chart with a non-zero baseline be compared cautiously?

    • Medians become invalid
    • Totals are hidden
    • Ranges are reduced
    • Differences are exaggerated

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