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Find the rank or spearman correlation coefficient

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Reference no: EM13891593

(a) Find the rank or Spearman correlation coefficient between the midterm grade and the IQ ranking of a random sample of 10 students in a large class, as given in Table, using Eq.

(a) When is the rank correlation used?

Table Midterm Grade and IQ Ranking

Student

1

2

3

4

5

6

7

8

9

10

Midterm grade

77

78

65

84

84

88

67

92

68

96

IQ ranking

7

6

8

5

4

3

9

1

10

2

Table Calculations to Find the Coefficient of Rank Correlation

 

n

Midterm Grade

Ranking on Midterm

IQ

Ranking

 

D

 

D2

1

96

1

2

-1

1

2

92

2

1

1

1

3

88

3

3

0

0

4

84

4.5

4

0:5

0.25

5

84

4.5

5

-0:5

0.25

6

78

6

6

0

0

7

77

7

7

0

0

8

68

8

10

-2

4

9

67

9

9

0

0

10

65

10

8

2

4

P D2 = 10:50

Reference no: EM13891593

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