Lesson 2c.05

2c.05 Use calculated or given median and interquartile range (IQR) or interpercentile range... Quiz: Pearson Edexcel Statistics, Unit 2

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson 2c.05, Use calculated or given median and interquartile range (IQR) or interpercentile range...: 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 pairing is appropriate when comparing samples with skewed data?

    • Median with range
    • Mode with range
    • Median with IQR
    • Mean with IQR

  2. Which pairing of summary statistics is statistically inappropriate?

    • Median with IQR
    • Mean with SD
    • Mean with IQR
    • Median with range

  3. A sample has median 52 and IQR 10. The population has median 50 and IQR 12. How does the sample spread compare?

    • Equal spread
    • Double spread
    • More spread
    • Less spread

  4. A sample has mean 24 and SD 3, while a population has mean 20 and SD 4. How does the sample spread compare?

    • Zero SD
    • Equal SD
    • Smaller SD
    • Larger SD

  5. Which statistic best compares the central tendency of a sample with a population?

    • Interquartile range
    • Total frequency
    • Range
    • Median

  6. If a sample IQR is smaller than the population IQR, what does this indicate?

    • Equal variance
    • Less spread
    • More spread
    • Higher median

  7. Which measure of dispersion is correctly paired with the mean for symmetrical data?

    • Median
    • Standard deviation
    • Mode
    • Interquartile range

  8. Sample A has median 60 and IQR 8. Sample B has median 65 and IQR 15. Which sample is more spread in the middle half?

    • Sample B
    • Sample A
    • Both equal
    • Cannot tell

  9. Is it statistically valid to compare a sample median directly with a population median?

    • Yes, like for like
    • Only for mean
    • No, use range instead
    • No, sizes differ

  10. Which summary pair is best for highly skewed data?

    • Median and IQR
    • Mean and range
    • Median and range
    • Mean and IQR

  11. When a sample and population share a mean but the sample has a smaller standard deviation, what is shown?

    • Same centre, less spread
    • Less centre, same spread
    • Different centre, more spread
    • Identical centre and spread

  12. When a sample and population share an IQR but the sample median is lower, what is concluded?

    • Higher spread, lower centre
    • Identical centre and spread
    • Lower spread, same centre
    • Same spread, lower centre

  13. What key factor must be evaluated when comparing sample statistics to a population?

    • Sample representation
    • Sample colour
    • Total population sum
    • Data collection day

  14. Which summary statistic pair is appropriate to compare the centre and spread of two skewed samples?

    • Median and IQR
    • Median and range
    • Mean and range
    • Mean and IQR

  15. When a sample has a higher mean than a population but both share the same standard deviation, what is shown?

    • Higher mean, different spread
    • Lower mean, same spread
    • Same mean, higher spread
    • Higher mean, same spread

  16. What does it indicate if a sample and population have the exact same median and IQR?

    • Same centre, different spread
    • Identical centre and spread
    • Different centre and spread
    • Different centre, same spread

  17. A sample median is lower than a population median, but both share an equal IQR. What is the comparison?

    • Lower centre, higher spread
    • Higher centre, equal spread
    • Equal centre, lower spread
    • Lower centre, equal spread

  18. A sample has SD 5 and a population has SD 2, with the same mean. What does this show?

    • Higher sample variability
    • Biased sample mean
    • Lower sample variability
    • Identical spread

  19. Why is the interquartile range preferred over the full range when comparing spread?

    • Always larger than range
    • Easier to calculate manually
    • Resistant to outliers
    • Uses all data points

  20. When sample and population statistics differ, what limitation must be remembered?

    • Sampling variation
    • Fixed population size
    • Graph plotting limits
    • Arithmetic errors

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