Question

Calculate the coefficient of rank correlation from the following 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
Marks in Y : 75 32 34 40 45 33 12 30 36 72 41 57​

Answer 1

Answer:-3.63

Step-by-step explanation:

1st we ranked them then difference then difference squre then formula...

Answer 2

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

                                                               = $1-\frac{6(48)}{n^{2} -n }$

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

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

                                                         = $1-\frac{(288)}{144^{} -12 }$        

                                                         = $1-\frac{(288)}{132 }$      

                                                         = 1 - 2.18

 Hence,    coefficient of rank correlation   = -1.18  

To learn more...

1) Calculate the coefficient of rank correlation from the following 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 46 Marks in Y : 75 32 34 40 45 33 12 30 36 72 41 57

https://brainly.in/question/16176009

2) Calculate the coefficient of rank correlation from the following 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 46

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

https://brainly.in/question/15637273