Lesson 5.08e-g

5.08e-g Spearman's rank correlation and choosing a correlation measure Quiz: OCR Further Maths, Unit 2

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson 5.08e-g, Spearman's rank correlation and choosing a correlation measure: 20 multiple choice questions for the OCR Further Maths (H245), Unit 2: Statistics (Y542), written with Revision Ninja.

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The 20 questions

  1. What type of relationship does Spearman's rank correlation coefficient measure?

    • Quadratic relationship
    • Exponential relationship
    • Monotonic relationship
    • Linear relationship only

  2. What is the range of possible values for Spearman's rank correlation coefficient?

    • Minus infinity to infinity
    • 0 to 100
    • 0 to 1
    • -1 to 1

  3. In the Spearman's rank correlation formula, what does the symbol d represent?

    • Difference in ranks
    • Standard deviation
    • Distance from mean
    • Difference in data

  4. If two ranked variables agree perfectly for five paired observations, what is the sum of d squared?

    • 5
    • 10
    • 0
    • 1

  5. Calculate Spearman's rank correlation coefficient when sample size is 5 and sum of d squared is 40.

    • -1
    • 1
    • 0.5
    • 0

  6. When is Spearman's rank correlation preferred over Pearson's product-moment correlation coefficient?

    • Non-linear monotonic data
    • Bivariate normal data
    • Unranked continuous data
    • Strictly linear data

  7. Three items tie for 2nd, 3rd, and 4th position. What rank is assigned to each?

    • 3
    • 3.5
    • 2.5
    • 2

  8. Which correlation measure is suitable for ordinal or ranked qualitative data?

    • Pearson's product-moment
    • Spearman's rank
    • Product moment covariance
    • Least squares regression

  9. Calculate Spearman's rank correlation coefficient if sample size is 10 and sum of d squared is 33.

    • 0.6
    • 0.2
    • 0.9
    • 0.8

  10. What is the standard null hypothesis when testing for Spearman's rank correlation?

    • ρs ≠ 0
    • ρs = 1
    • ρs > 0
    • ρs = 0

  11. How are outliers affected when using Spearman's rank correlation instead of Pearson's correlation?

    • Completely eliminated
    • Less affected
    • More affected
    • Equally affected

  12. Two judges rank four contestants in exact reverse order. What is the sum of d squared?

    • 12
    • 10
    • 20
    • 16

  13. Which assumption is required for calculating Spearman's rank correlation coefficient?

    • Linear distribution
    • None
    • Bivariate normality
    • Equal variances

  14. What type of correlation does a Spearman's rank coefficient of -0.85 indicate?

    • No monotonic correlation
    • Strong positive linear
    • Strong negative monotonic
    • Weak negative linear

  15. Four ascending numbers are 12, 15, 15, 20. What rank is given to each 15?

    • 2.25
    • 2.5
    • 2
    • 3

  16. What is the maximum possible sum of d squared for a sample size of 6?

    • 35
    • 120
    • 60
    • 70

  17. Which hypothesis test for correlation requires the sample data to follow a bivariate normal distribution?

    • Chi-squared test
    • Spearman's rank test
    • Mann-Whitney test
    • Pearson's test

  18. If sample size is 5 and Spearman's rank correlation coefficient is 0.7, find sum d squared.

    • 3
    • 12
    • 6
    • 18

  19. What happens to Spearman's rank correlation coefficient if 5 is added to all ranks of X?

    • Remains unchanged
    • Increases by 5
    • Multiplies by 5
    • Decreases by 5

  20. What is the value of Spearman's rank coefficient when ranks of X and Y are identical?

    • 0
    • 0.5
    • -1
    • 1

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