Lesson 2g.01

2g.01 Know that a set of sample means are more closely distributed than individual values... Quiz: Pearson Edexcel Statistics, Unit 2

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson 2g.01, Know that a set of sample means are more closely distributed than individual values...: 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 set of values is typically more closely clustered than individual data points?

    • Sample means
    • Extreme values
    • Sample ranges
    • Raw data values

  2. Why are sample means less spread out than individual values from the same population?

    • Extremes balance out
    • Spread always doubles
    • Samples are smaller
    • Means ignore data

  3. What happens to the spread of sample means as the sample size increases?

    • Spread increases
    • Spread stays constant
    • Spread decreases
    • Spread becomes zero

  4. How are sample means distributed compared to individual values from the same population?

    • More widely distributed
    • Distributed identically
    • Completely uniformly
    • More closely distributed

  5. Which of these represents a set of sample means?

    • Raw plant lengths
    • Class mean heights
    • Single test scores
    • Individual pupil masses

  6. Which sample size is most likely to yield a mean close to the population mean?

    • 1 person
    • 5 people
    • 2 people
    • 50 people

  7. What term describes the probability distribution of a set of sample means?

    • Raw data set
    • Frequency polygon
    • Sampling distribution
    • Population matrix

  8. In a school, mean heights are calculated for 20 classes. How do these means compare with the heights of all students?

    • Greater range
    • More variation
    • Less variation
    • The same variation

  9. Class mean heights range from 150 cm to 170 cm. Individual heights in the school range from 135 cm to 185 cm. What is the range of the class means?

    • 20 cm
    • 35 cm
    • 50 cm
    • 15 cm

  10. Compared with individual measurements, how are hourly sample means expected to behave?

    • Have zero spread
    • Vary more
    • Vary less
    • Match the range

  11. What is the main statistical benefit of using sample means instead of individual values in quality control?

    • Increases sample cost
    • Averaging reduces noise
    • Eliminates all bias
    • Removes data spread

  12. Set A has individual masses from 2.0 kg to 3.0 kg. Set B has sample means from 2.3 kg to 2.6 kg. Which shows greater variation?

    • Neither
    • Set B
    • Set A
    • Both equal

  13. A school's 10 class means are 155, 158, 160, 161, 162, 163, 164, 165, 167 and 170 cm. What is the range of the class means?

    • 15 cm
    • 12 cm
    • 20 cm
    • 10 cm

  14. Which change would make hourly sample means vary least?

    • Using median instead
    • Stopping the clock
    • Larger sample size
    • Smaller sample size

  15. Which incorrect statement is often assumed about sample means?

    • Depend on sample size
    • Always equal population
    • Less spread than individuals
    • Vary around population mean

  16. Individual values have a standard deviation of 12. What is the standard deviation of the means of samples of size 36?

    • 0.33
    • 36
    • 2
    • 6

  17. For a population, the standard deviation of means from samples of size 25 is 3. What is it for samples of size 100?

    • 0.75
    • 0.3
    • 3
    • 1.5

  18. Why are sample means more reliable estimators than single individual values?

    • They ignore outliers completely
    • They have zero variance
    • They are always integers
    • Averaging reduces extremes

  19. What remains true about a single individual value even when sample means cluster tightly?

    • Can lie far
    • Always lies centrally
    • Must equal mean
    • Cannot be recorded

  20. If individual heights have standard deviation 9 cm and class means have standard deviation 4 cm, what is the standard deviation ratio?

    • 9/4
    • 13/5
    • 1/4
    • 4/9

All Pearson Edexcel Statistics quizzes