Apps. and Interpretation for IBDP Maths Ebook 1 | Page 334

Your Practice Set – Applications and Interpretation for IBDP Mathematics
3. The number of winning matches of eight teams in a football league and their
corresponding positions are summarized in the following table, where x represents the
number of winning matches of the Team A:
Team A B C D E F G H
Number of
winning matches
x 7 7 17 6 20 12 14
Position in the
league
7 5 6 2 8 1 3 4
(a) Explain why it is not appropriate to use the product moment correlation
coefficient for the above table.
[1]
In the table below, the number of winning matches for each team is going to be ranked,
such that 1 represents the team with the most number of winning matches and 8
represents the team with the least number of winning matches.
Team A B C D E F G H
Number of
winning matches’ 8 p p 2 q 1 4 3
rankings
Position in the
league
7 5 6 2 8 1 3 4
(b) Write down the values of p and q .
(c)
Find the Spearman’s rank correlation coefficient for the second table.
The Spearman’s rank correlation coefficient found in (c) is unchanged for a range of
values of x .
(d) Write down all possible values of x .
[2]
[2]
[1]
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