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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:

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: Correct Answer -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 -

⇒ r = 1 - 1.2969

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

Related Questions

Which of the following statements relating to correlation and reegression are true?
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4. Coefficient of correlation multiplied by the ratio between the standard deviations of the two variables denotes the slope of the regression line
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Which of the following statements are true?
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2. The coefficient of correlation is independent of the change of origin but not of scale.
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4. $${b_{xy}}$$ is called regression coefficient of $$X$$ variable on $$Y$$ variable.
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Select the correct answer:
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