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The given table shows the ranking of ten students in two subjects mathematics and statistics.

Mathematics

Statistics

3

6

5

4

8

9

4

8

7

1

10

2

2

3

1

10

6

5

9

7


The coefficient of rank correlation is:


1. -0.3
2. -0.1
3. 0.1
4. 0.3

1 Answer

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Best answer
Correct Answer - Option 1 : -0.3

Formula used

r = 1 - (6Σd2)/n(n2 - 1)

Calculation

Mathematics

r1

Statistics

r2

d = r1 – r2

d2

3

6

-3

9

5

4

1

1

8

9

-1

1

4

8

-4

16

7

1

6

36

10

2

8

64

2

3

-1

1

1

10

-9

81

6

5

1

1

9

7

2

4

Total

 

 

214


⇒ r = 1 - [6 × 214/10(102 - 1)]

⇒ r = 1 - 1.2969

∴ The coefficient of rank correlation is -0.2969 0r - 0.3

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