IB Maths AI SL 4.10 Spearman's rank correlation Question Bank

Practise IB Mathematics SL/HL 4.10 by applying spearman's rank correlation methods to exam-style questions.

Exam points

identify the mathematical structure, variable or representation
select and apply the correct theorem, formula or algorithm
check the result using units, domain, graph or logical reasoning

[Maximum number: 1]

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 SL 4.10—Spearman's rank correlation question 1 — IB Maths AI SL

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

Figure for Question SL 4.10—Spearman's rank correlation 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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SL 4.10—Spearman's rank correlation question 1