IB Maths AI SL 4.10 Spearmans Rank Correlation Questions

Practise ranking data with ties, calculating Spearman’s coefficient, comparing it with Pearson correlation and judging association without claiming causation.

Exam points

Rank data, average tied ranks and calculate or interpret Spearman’s rank correlation coefficient with technology.
Compare Spearman and Pearson correlation for monotonic/non-linear relationships, outliers and data type.
Assess the direction, strength and limitations of the association without claiming causation.

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Study SL 4.10—Spearman's rank correlation conceptsOpen the corresponding Concept lesson for explanations, examples and exam connections.

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Xavie conducted a study to see if there is a relationship between the price of an apartment, y, and its distance, x, from the city centre of Melbourne.
They took a random sample of six typical apartments along a train line in the city. Xavie obtained the data shown in the following table.

Table for Question IB Maths AI SL 4.10 Spearmans Rank Correlation Questions question 1 — IB Maths AI SL

A plot of these data is seen in the following graph.

Figure for Question IB Maths AI SL 4.10 Spearmans Rank Correlation Questions question 1 — IB Maths AI SL

Write down the value of the Spearman's rank correlation coefficient, $r_{s}$ .

$r_{s}=-1 \quad \boldsymbol{A} 1$

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IB Maths AI SL 4.10 Spearmans Rank Correlation Questions question 1