If d_i stands for the difference of ranks and if \sum^{n}_{i=1} d_i^2 = {(n-1)n(n+1)}/8 , then the value of the coefficient of rank correlation is

AP ICET 2019 Shift 1 Paper

Question : 146 of 200

Marks: +1, -0

d_i

stands for the difference of ranks and if

Σ↖{n}_{i=1} d_i^2

{(n-1)n(n+1)}/8

, then the value of the coefficient of rank correlation is

Solution:

rank correlation

(ρ)=1-{6 ∑ d ^{2}}/{ n ( n ^{2}-1)}

Here

Σ d ^{2}=\;{( n -1) n ( n +1)}/{8}

∴ ρ=1-\;{6( n -1)( n )( n +1)}/{ n ( n ^{2}-1) 8}

=\;{1}/{4}=0.25

Go to Question:

Prev Question

Next Question