Question

calculate the cofficient of rank co relation from the following data:
roll no.of sudent 1 2 3 4 5 6 7 8 9 10 11 12
marks x 60 34 40 50 45 41 22 43 42 66 64 46
marks y 75 32 34 40 45 33 12 30 36 72 41 57

Answer 1

Answer:

Coefficient of rank correlation = -1.18

STEP 1: Given data

Roll no. of Students : 1 2 3 4 5 6 7 8 9 10 11 12

Marks in X : 60 34 40 50 45 41 22 43 42 66 64 23

Marks in Y : 75 32 34 40 45 33 12 30 36 72 41 57

STEP 2: To find the coefficient of rank correlation for the above data.

STEP 3: Make the following table to find the coefficient of rank.

Refer the below table in the attachment.

∑d² = 48

Hence, coefficient of rank correlation = 1 - 6 ∑d²/n²-n

= 1-\frac{6(48)}{n^{2} -n }1−

n

2

−n

6(48)

Here n=12 because the no of roll of students is 12.

coefficient of rank correlation = 1-\frac{6(48)}{12^{2} -12 }1−

12

2

−12

6(48)

= 1-\frac{(288)}{144^{} -12 }1−

144

−12

(288)

= 1-\frac{(288)}{132 }1−

132

(288)

= 1 - 2.18

Hence, coefficient of rank correlation = -1.18