Unit 4: Statistics and Probability
Topic 4.10: Spearman's Rank Correlation Questions
Practice 20 exam-style questions for IB Math AI SL Topic 4.10. Review the question stems below, then unlock the full Question Bank to access markschemes, model answers, and AI grading.
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A rank table gives d values −2, 1, 0, −1, 2, 0 for n = 6 items. Find Σd².
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State whether Spearman''s rs measures linear or monotonic association.
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Two values are tied for 5th and 6th place. State the rank each receives.
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Two examiners have rs = 0.95 for ranking 12 scripts. Interpret in context.
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Write down the formula for Spearman''s rank correlation coefficient.
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In the Spearman formula, state what d represents.
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If two rankings of n items are identical, state the value of Σd² and hence rs.
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Spearman''s rank correlation is rs = 0.92. Interpret this value.
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Spearman''s rank correlation is rs = −0.85. Interpret this value.
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Spearman''s rank correlation is rs = 0.08. Interpret this value.
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State what a Spearman rank correlation of exactly rs = 1 means.
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State what a Spearman rank correlation of exactly rs = −1 means.
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State the range of possible values of Spearman''s rank correlation coefficient.
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Given n = 8 and Σd² = 6, calculate rs.
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Given n = 10 and Σd² = 44, calculate rs.
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Given n = 6 and Σd² = 4, calculate rs.
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Rank these marks from 1 (highest) to 5 (lowest): 14, 9, 17, 11, 6.
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Two coaches each rank six athletes from 1 to 6.
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Rank these values from 1 (highest), dealing with the tie: 20, 16, 16, 13, 9.
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