Lesson 2a.09

2a.09 Determine skewness from data by inspection and by calculation Quiz: Pearson Edexcel Statistics, Unit 2

20 questions

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Lesson 2a.09, Determine skewness from data by inspection and by calculation: 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. For a positive skew, which order of averages is typical?

    • Mode > median > mean
    • Mean = median = mode
    • Mean > median > mode
    • Median > mean > mode

  2. Which feature indicates a positively skewed distribution on a graph?

    • Perfect symmetry
    • Long right tail
    • Equal class widths
    • Long left tail

  3. For a symmetrical distribution, what is the relationship between the mean and the median?

    • No relationship
    • They are equal
    • Median exceeds mean
    • Mean exceeds median

  4. Higher tier: a distribution has mean 50, median 46 and standard deviation 8. What is its skew value?

    • 1.5
    • 4
    • 0.5
    • -1.5

  5. Higher tier: mean 20, median 22 and standard deviation 4. What is the skew?

    • -1.5
    • -0.5
    • -6
    • 1.5

  6. A distribution has a long left tail. Which order of averages is most likely?

    • Median > mode > mean
    • Mode > median > mean
    • Mean > median > mode
    • Mean = median

  7. A box plot has LQ 10, median 14 and UQ 22. What does this indicate?

    • Bimodal data
    • Positive skew
    • Symmetry
    • Negative skew

  8. A box plot has LQ 30, median 45 and UQ 50. What does this indicate?

    • Positive skew
    • Bimodal data
    • Symmetry
    • Negative skew

  9. In a positively skewed distribution, which values have a greater spread?

    • Values below median
    • Values above median
    • Values near mode
    • Values near minimum

  10. A histogram has its tallest bar on the left and a long tail to the right. What is it?

    • Negatively skewed
    • Positively skewed
    • Symmetrical
    • Bimodal

  11. Higher tier: mean 12, median 15 and standard deviation 6. What is the skew?

    • -4.5
    • 1.5
    • -1.5
    • -0.5

  12. Higher tier: a set has skew 0.8, mean 30 and SD 5. Using the skew formula, what is the median?

    • About 31.3
    • About 28.7
    • 24
    • About 36.7

  13. Which direction is the mean pulled in a skewed distribution?

    • Towards the mode
    • Towards the median
    • Towards long tail
    • Towards shorter tail

  14. Which average is most affected by extreme values in a skewed distribution?

    • Median
    • Mode
    • Mean
    • Range

  15. Median minus LQ is 9 and UQ minus median is 9. What type of skew is suggested?

    • Negative skew
    • Approximately symmetric
    • Positive skew
    • Bimodal

  16. Higher tier: mean 25, median 25 and standard deviation 4. What is the skew?

    • 25
    • -1.5
    • 1.5
    • 0

  17. Higher tier: mean 40, median 37 and standard deviation 6. Which statement is correct?

    • Positive skew of 4.5
    • Positive skew of 1.5
    • Negative skew of -4.5
    • Negative skew of -1.5

  18. A dataset has mean 10 and median 9. Is the skew positive or negative?

    • Undefined
    • Positive
    • Zero
    • Negative

  19. A distribution has most values near 5 with a few much larger values. Which type of skew does it show?

    • Positive skew
    • Bimodal
    • Symmetric
    • Negative skew

  20. Higher tier: mean 60, median 58 and standard deviation 5. Which statement best describes skew?

    • Positive skew of 1.2
    • Positive skew of 6.0
    • No skew
    • Negative skew of 1.2

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