Determine ranks from coefficient

Question gives Spearman's coefficient value (often ±1) and asks to find, complete, or determine the missing ranks that produce this value.

3 questions · Moderate -0.8

5.08e Spearman rank correlation
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OCR S1 2005 June Q1
6 marks Moderate -0.8
1
  1. Calculate the value of Spearman's rank correlation coefficient between the two sets of rankings, \(A\) and \(B\), shown in Table 1. \begin{table}[h]
    \(A\)12345
    \(B\)41325
    \captionsetup{labelformat=empty} \caption{Table 1}
    \end{table}
  2. The value of Spearman's rank correlation coefficient between the set of rankings \(B\) and a third set of rankings, \(C\), is known to be - 1 . Copy and complete Table 2 showing the set of rankings \(C\). \begin{table}[h]
    \(B\)41325
    \(C\)
    \captionsetup{labelformat=empty} \caption{Table 2}
    \end{table}
OCR S1 2014 June Q6
5 marks Moderate -0.8
6 Fiona and James collected the results for six hockey teams at the end of the season. They then carried out various calculations using Spearman's rank correlation coefficient, \(r _ { s }\).
  1. Fiona calculated the value of \(r _ { s }\) between the number of goals scored FOR each team and the number of goals scored AGAINST each team. She found that \(r _ { s } = - 1\). Complete the table in the answer book showing the ranks.
    TeamABCDEF
    Number of goals FOR (rank)123456
    Number of goals AGAINST (rank)
  2. James calculated the value of \(r _ { s }\) between the number of goals scored and the number of points gained by the 6 teams. He found the value of \(r _ { s }\) to be 1 . He then decided to include the results of another two teams in the calculation of \(r _ { s }\). The table shows the ranks for these two teams.
    TeamGH
    Number of goals scored (rank)78
    Number of points gained (rank)87
    Calculate the value of \(r _ { s }\) for all 8 teams.
OCR S1 2013 June Q2
7 marks Moderate -0.8
  1. The table shows the times, in minutes, spent by five students revising for a test, and the grades that they achieved in the test.
    StudentAnnBillCazDenEd
    Time revising0603510045
    GradeCDEBA
    Calculate Spearman's rank correlation coefficient. [5]
  2. The table below shows the ranks given by two judges to four competitors.
    CompetitorPQRS
    Judge 1 rank1234
    Judge 2 rank3214
    Spearman's rank correlation coefficient for these ranks is denoted by \(r_s\). With the same set of ranks for Judge 1, write down a different set of ranks for Judge 2 which gives the same value of \(r_s\). There is no need to find the value of \(r_s\). [2]