## Calculate thea. aa. Find the rank correlation coefficient in the following data. x 92 89 87 86 86 77 71 63 53 50 Y 86 83 91 77 68 85 52 82 3

Question

Calculate thea. aa. Find the rank correlation coefficient in the following data. x 92 89 87 86 86 77 71 63 53 50 Y 86 83 91 77 68 85 52 82 37 57 Find the rank correlation coefficient in the following data. the rank correlation coefficient in the following data. coefficient of rank correlation from the following data:- Roll no. of Students : 1 2 3 4 5 6 7 8 9 10 11 12Marks in X : 60 34 40 50 45 41 22 43 42 66 64Marks in Y : 75 32 34 40 45 33 12 30 36 72 41 57​

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1 month 2021-08-18T03:18:50+00:00 1 Answer 0 views 0

1. Given :

x 92 89 87 86 86 77 71 63 53 50

Y 86 83 91 77 68 85 52 82 37 57

To Find :  Rank correlation coefficient

Step-by-step explanation:

X RX Y RY di di^2

92 1 86 2 -1 1

89 2 83 4 -2 4

87 3 91 1 2 4

86 4.5 77 6 -1.5 2.25

86 4.5 68 7 -2.5 6.25

77 6 85 3 3 9

71 7 52 9 -2 4

63 8 82 5 3 9

53 9 37 10 -1 1

50 10 57 8 2 4

44.5

∑d²  = 44.5

n = 10

rank correlation coefficient    = 1   – 6  ∑ (di)² / (n(n² – 1))

= 1  – 6 * 44.5 / 10 (10² – 1)

= 1 –  267/990

= 723/990

= 0.73