AP ICET 2019 Shift 2 Paper

Question : 146 of 200

Marks: +1, -0

The rank correlation coefficient between two characteristics X and Y of a group is found to be 0.9. If the sum of the squares of the differences in their ranks is given to be 56. then the number of individuals in that group is

Validate

Solution:

ρ=1-{6∑ d ^{2}}/{n ( n^{2}-1)}

0.9=1-{6 × 56}/{ n ( n ^{2}-1)}

{336}/{n( n ^{2}-1)}=0.1⇒n(n^{2}-1)=3360

⇒ n =15

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