Ten competitors in a musical test were ranked by three judges A, B and C in thefollowing orderRank by 1by 16 5 1 32. 49 78A0Rank by 3 5 8 4 71 2 1 69BRank by 61498 12 31 57с0Using Rank correlation method, determine which pair of judges has the nearestapproach to common likings in music?
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here n=10
table for rank correlation
ranks in A : 1 6 5 10 3 2 4 9 7 8
ranks in B 3 5 8 4 7 10 2 1 6 9
ranks in C: 6 4 9 8 1 2 3 10 5 7
x= (A-B) ² : 4 1 9 36 16 64 4 64 1 1 = 200
Y=(X-y) ²: 25 4 16 4 4 0 1 1 4 1 = 60
z= (Y-z)² : 9 1 1 16 36 64 1 81 1 4 = 214
from the Calculation we can see that A and c has common liking in music
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