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In a Poetry Recitation Competition , 10 ...

In a Poetry Recitation Competition , 10 participants were accorded following marks by two different judges, X and Y :

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There are 10 items each in the two series in this question. We may accord, the highest rank , i.e, 10 to highest value/ item in each series , i.e., 18 in series X and 15 in series Y, and accord the lowest rank,i.e, 1 to the lowest value/item in each series, i.e., 9 in series X and 2 in series Y.

`r_(K)=1-(6sumD^(2))/(N^(3)-N)`
Here, N=10,`sumD^(2)=86`
`r_(k)=1-(6xx86)/((10)^(3)-10)`
`=1-(516)/(1,000-10)`
`=1-0.52`
`=0.48`
Coefficient of Rank Correlation `(r_(k))=0.48`
Thus, there is a positive rank correlation of a moderate degree of 0.48.
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