Question

(b) Find out the Rank coefficient for the following data:
Marks in Economics:
48
30
60
72
62
52
56
40
39
Number of students:
62
78
31
65
70
38
54
60
32
(A

Answer 1

Answer:

Correct option is A)

Descending order arranged data will be as follows:

Physics: 72,62,60,56,52,40,39,30

Mathematics: 78,70,65,62,60,54,38,32,31

Thus data will be

Physics(P)

Mathematics (M)

Rank (P)

Rank (P)

∣d∣

d

2

98

60

72

62

56

40

39

52

30

62

78

65

70

38

54

60

32

31

6

3

1

2

4

7

8

5

9

4

1

3

2

7

6

5

8

9

2

2

2

0

3

1

3

3

0

4

4

4

0

9

1

9

9

0

n=9,∑d

2

=40

r=1−

n(n

2

−1)

6∑d

2

=1−

9(9

2

−1)

40×6

=1−

720

240

=0.66

Since r>0 we can say that this indicate a moderate positive relationship between marks of physics and mathematics.

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