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