TS ICET 23 May 2019 Shift 2 Paper

Question : 146 of 200

Marks: +1, -0

If the sum of squares of the deviations of ranks of two players in n sports is

{2n(n+1)}/3

, then the coefficient of rank correlation is

Solution:

Given

∑ d^{2}=\;{2 n(n+1)}/{3}

∴ Rank correlation coefficient

ρ=1-\;{6 ∑ d^{2}}/{n(n^{2}-1)}

ρ=1-\;{\;{6.2 n(n+1)}/{3}}/{n(n^{2}-1)}

ρ=1-\;{4}/{n-1}=\;{n-5}/{n-1}

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