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Xi and Yi are the ranks for the ith student such that Xi+Yi=21(I=1,...,20). Then the Spearman rank correlation coefficient between X and Y is? How do I even proceed with this. Coefficient requires difference of ranks??

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    This is unanswerable because the information is insufficient or unclear. Are you claiming that for all students the sum of the ranks is $21$ or just for one particular student? If it's the former, then this must be a textbook question intended to probe your understanding, in which case please read about how we answer such questions here. – whuber Sep 02 '20 at 13:34
  • Its from a previous year question paper that I am solving, and I'm not getting the question even. – user295506 Sep 02 '20 at 20:14
  • Start by drawing a scatterplot of the ranks. What does it suggest? (To save time and effort, replace the "21" in the question by a smaller value such as "4".) – whuber Sep 02 '20 at 20:18
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    I did for 20 only, turns out they are highly negatively correlated! Thanks for the help :) – user295506 Sep 03 '20 at 19:34
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    You can be more specific: you can determine exactly what the correlation coefficient is ;-). – whuber Sep 03 '20 at 20:19

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