Spearman Rho Computation

8/12/2019 Spearman Rho Computation

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COGNITIVE

Table 38 shows that the standard deviation of X ranks or the traits of a leader

(Majorship) is 7.72 while the standard deviation of Y ranks (Informed) is 8.24. The

covariance is -8.61 and the Spearman rho is 0.132. Although technically a negative

correlation, the relationship between your variables is only weak (nb. the nearer the value

is to zero, the weaker the relationship).

Table 38

Faculty of Arts and Languages (FAL)

MAJORSHIP VS INFORMED

SAMPLE X Y Xra Xra-Mx Yra Yra-My Sum

Difference

1 5 1 21.5 6 6.5 -9 -54

2 4 4 9 -6.5 22.5 7 -45.5

3 4 4 9 -6.5 22.5 7 -45.5

4 4 4 9 -6.5 22.5 7 -45.5

5 5 2 21.5 6 14 -1.5 -9

6 5 4 21.5 6 22.5 7 42

7 5 3 21.5 6 17 1.5 9

8 5 1 21.5 6 6.5 -9 -54

9 5 1 21.5 6 6.5 -9 -54

10 4 3 9 -6.5 17 1.5 -9.7511 4 4 9 -6.5 22.5 7 -45.5

12 4 2 9 -6.5 14 -1.5 9.75

13 5 5 21.5 6 28 12.5 75

14 4 5 9 -6.5 28 12.5 -81.25

15 5 1 21.5 6 6.5 -9 -54

16 1 1 1 -14.5 6.5 -9 130.5

17 3 1 3.5 -12 6.5 -9 108

18 5 1 21.5 6 6.5 -9 -54

19 5 1 21.5 6 6.5 -9 -54

20 5 2 21.5 6 14 -1.5 -9

21 5 5 21.5 6 28 12.5 75

22 5 1 21.5 6 6.5 -9 -54

23 3 4 3.5 -12 22.5 7 -8424 5 6 21.5 6 30 14.5 87

25 5 1 21.5 6 6.5 -9 -54

26 3 1 3.5 -12 6.5 -9 108

27 5 3 21.5 6 17 1.5 9

28 3 4 3.5 -12 22.5 7 -84

29 5 4 21.5 6 22.5 7 42

30 5 1 21.5 6 6.5 -9 -54


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Table 39 shows that the standard deviation of the X ranks or the traits of a leader

(Achievements) is 7.61 while the standard deviation of Y ranks (Ambitious) is 8.54. The

covariance is 18.21 and the Spearman rho is 0.28. Although technically a positive

correlation, the relationship between your variables is weak (nb. the nearer the value is to

zero, the weaker the relationship).

Table 39

Faculty of Arts and Languages (FAL)

ACHIEVEMENTS VS AMBITIOUS

SAMPLE X Y Xra Xra-Mx Yra Yra-My Sum Difference

1 5 6 21.5 6 26.5 11 66

2 4 6 7.5 -8 26.5 11 -883 5 3 21.5 6 14 -1.5 -9

4 5 6 21.5 6 26.5 11 66

5 5 1 21.5 6 1.5 -14 -84

6 5 6 21.5 6 26.5 11 66

7 4 2 7.5 -8 6 -9.5 76

8 5 2 21.5 6 6 -9.5 -57

9 5 4 21.5 6 19.5 4 24

10 4 2 7.5 -8 6 -9.5 76

11 5 2 21.5 6 6 -9.5 -57

12 4 3 7.5 -8 14 -1.5 12

13 5 6 21.5 6 26.5 11 6614 4 6 7.5 -8 26.5 11 -88

15 5 5 21.5 6 21.5 6 36

16 4 3 7.5 -8 14 -1.5 12

17 5 6 21.5 6 26.5 11 66

18 5 3 21.5 6 14 -1.5 -9

19 5 3 21.5 6 14 -1.5 -9

20 4 3 7.5 -8 14 -1.5 12

21 5 4 21.5 6 19.5 4 24

22 5 6 21.5 6 26.5 11 66

23 5 5 21.5 6 21.5 6 36

24 4 2 7.5 -8 6 -9.5 7625 4 3 7.5 -8 14 -1.5 12

26 3 3 1.5 -14 14 -1.5 21

27 3 2 1.5 -14 6 -9.5 133

28 5 1 21.5 6 1.5 -14 -84

29 5 3 21.5 6 14 -1.5 -9

30 4 2 7.5 -8 6 -9.5 76


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(Organized/Systematic) is 8.1 while the standard deviation of Y ranks (Procedural) is

8.58. The covariance is 32.24 and the Spearman rho is 0.464. Although technically a

positive correlation, the relationship between your variables is weak (nb. the nearer the

value is to zero, the weaker the relationship).

Table 40

Faculty of Arts and Language (FAL)

ORGANIZED/SYSTEMATIC VS PROCEDURALSAMPLE X Y Xra Xra-Mx Yra Yra-My Sum Difference

1 5 6 23.5 8 26.5 11 88

2 4 4 11 -4.5 12 -3.5 15.75

3 3 6 3.5 -12 26.5 11 -132

4 4 1 11 -4.5 2 -13.5 60.75

5 5 5 23.5 8 18 2.5 20

6 5 6 23.5 8 26.5 11 88

7 5 6 23.5 8 26.5 11 88

8 5 5 23.5 8 18 2.5 20

9 4 4 11 -4.5 12 -3.5 15.75

10 4 3 11 -4.5 9 -6.5 29.25

11 5 6 23.5 8 26.5 11 88

12 4 5 11 -4.5 18 2.5 -11.25

13 1 1 1 -14.5 2 -13.5 195.75

14 3 1 3.5 -12 2 -13.5 162

15 4 5 11 -4.5 18 2.5 -11.2516 5 6 23.5 8 26.5 11 88

17 5 3 23.5 8 9 -6.5 -52

18 5 3 23.5 8 9 -6.5 -52

19 5 2 23.5 8 5.5 -10 -80

20 5 6 23.5 8 26.5 11 88

21 4 5 11 -4.5 18 2.5 -11.25

22 5 4 23.5 8 12 -3.5 -28

23 4 2 11 -4.5 5.5 -10 45

24 4 5 11 -4.5 18 2.5 -11.25

25 5 5 23.5 8 18 2.5 20

26 3 2 3.5 -12 5.5 -10 120

27 4 5 11 -4.5 18 2.5 -11.25

28 3 5 3.5 -12 18 2.5 -3029 4 2 11 -4.5 5.5 -10 45

30 5 6 23.5 8 26.5 11 88

Table 41 shows that the standard deviation of the X ranks or the traits of a

leader (rational) is 6.12 while the standard deviation of Y ranks (positive) is 8.6. The


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Table 41


RATIONAL VS POSITIVESAMPLE X Y Xra Xra-Mx Yra Yra-My Sum Difference

1 4 4 4 -11.5 14 -1.5 17.25

2 5 6 18.5 3 26.5 11 33

3 5 5 18.5 3 19 3.5 10.5

4 4 5 4 -11.5 19 3.5 -40.25

5 5 6 18.5 3 26.5 11 336 5 5 18.5 3 19 3.5 10.5

7 5 5 18.5 3 19 3.5 10.5

8 5 6 18.5 3 26.5 11 33

9 5 2 18.5 3 7 -8.5 -25.5

10 5 2 18.5 3 7 -8.5 -25.5

11 4 1 4 -11.5 2 -13.5 155.25

12 5 6 18.5 3 26.5 11 33

13 5 2 18.5 3 7 -8.5 -25.5

14 5 3 18.5 3 11.5 -4 -12

15 5 4 18.5 3 14 -1.5 -4.5

16 1 4 1 -14.5 14 -1.5 21.7517 5 2 18.5 3 7 -8.5 -25.5

18 5 2 18.5 3 7 -8.5 -25.5

19 5 1 18.5 3 2 -13.5 -40.5

20 5 5 18.5 3 19 3.5 10.5

21 5 6 18.5 3 26.5 11 33

22 5 6 18.5 3 26.5 11 33

23 5 6 18.5 3 26.5 11 33

24 5 2 18.5 3 7 -8.5 -25.5

25 5 2 18.5 3 7 -8.5 -25.5

26 4 3 4 -11.5 11.5 -4 46

27 5 1 18.5 3 2 -13.5 -40.528 5 6 18.5 3 26.5 11 33

29 4 5 4 -11.5 19 3.5 -40.25

30 5 5 18.5 3 19 3.5 10.5


leader (Decisive) is 8.04 while the standard deviation of Y ranks (Future-oriented) is


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Table 42


DECISIVE VS FUTURE-ORIENTEDSAMPLE X Y Xra Xra-Mx Yra Yra-My Sum Difference

1 4 5 11 -4.5 28 12.5 -56.25

2 5 5 22.5 7 28 12.5 87.5

3 5 4 22.5 7 25.5 10 70

4 3 2 5.5 -10 11.5 -4 40

5 5 2 22.5 7 11.5 -4 -28

6 2 4 2.5 -13 25.5 10 -1307 3 3 5.5 -10 19 3.5 -35

8 4 1 11 -4.5 5 -10.5 47.25

9 5 3 22.5 7 19 3.5 24.5

10 4 1 11 -4.5 5 -10.5 47.25

11 5 2 22.5 7 11.5 -4 -28

12 3 1 5.5 -10 5 -10.5 105

13 5 3 22.5 7 19 3.5 24.5

14 4 6 11 -4.5 30 14.5 -65.25

15 5 3 22.5 7 19 3.5 24.5

16 5 3 22.5 7 19 3.5 24.5

17 1 1 1 -14.5 5 -10.5 152.25

18 4 1 11 -4.5 5 -10.5 47.25

19 5 3 22.5 7 19 3.5 24.5

20 5 3 22.5 7 19 3.5 24.5

21 5 3 22.5 7 19 3.5 24.5

22 5 5 22.5 7 28 12.5 87.5

23 2 3 2.5 -13 19 3.5 -45.5

24 5 1 22.5 7 5 -10.5 -73.5

25 4 1 11 -4.5 5 -10.5 47.25

26 5 1 22.5 7 5 -10.5 -73.5

27 5 2 22.5 7 11.5 -4 -28

28 3 3 5.5 -10 19 3.5 -35

29 4 1 11 -4.5 5 -10.5 47.25

30 5 3 22.5 7 19 3.5 24.5


leader (Persuasive) is 7.32 while the standard deviation of Y ranks (Convincing) is 8.56.

The covariance is -12.85 and the Spearman rho is -0.205. Although technically a negative




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Table 43


PERSUASIVE VS CONVINCINGSAMPLE X Y Xra Xra-Mx Yra Yra-My Sum Difference

1 5 4 20.5 5 21 5.5 27.5

2 4 3 7 -8.5 13.5 -2 17

3 4 6 7 -8.5 30 14.5 -123.25

4 4 3 7 -8.5 13.5 -2 17

5 3 5 2.5 -13 26.5 11 -143

6 5 2 20.5 5 6 -9.5 -47.5

7 5 5 20.5 5 26.5 11 55

8 5 2 20.5 5 6 -9.5 -47.5

9 5 4 20.5 5 21 5.5 27.5

10 5 4 20.5 5 21 5.5 27.5

11 1 3 1 -14.5 13.5 -2 2912 5 5 20.5 5 26.5 11 55

13 5 3 20.5 5 13.5 -2 -10

14 3 2 2.5 -13 6 -9.5 123.5

15 4 3 7 -8.5 13.5 -2 17

16 4 3 7 -8.5 13.5 -2 17

17 5 2 20.5 5 6 -9.5 -47.5

18 5 4 20.5 5 21 5.5 27.5

19 5 2 20.5 5 6 -9.5 -47.5

20 5 1 20.5 5 2 -13.5 -67.5

21 5 3 20.5 5 13.5 -2 -10

22 4 5 7 -8.5 26.5 11 -93.5

23 5 4 20.5 5 21 5.5 27.5

24 5 1 20.5 5 2 -13.5 -67.5

25 5 3 20.5 5 13.5 -2 -10

26 5 3 20.5 5 13.5 -2 -10

27 5 1 20.5 5 2 -13.5 -67.5

28 5 5 20.5 5 26.5 11 55

29 4 5 7 -8.5 26.5 11 -93.5

30 5 3 20.5 5 13.5 -2 -10


leader (sociable) is 7.11 while the standard deviation of Y ranks (cooperative) is 8.18.

The covariance is -0.81 and the Spearman rho is -0.014. Although technically a negative


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Table 44


SOCIABLE VS COOPERATIVESAMPLE X Y Xra Xra-Mx Yra Yra-My Sum Difference

1 5 6 20 4.5 23 7.5 33.75

2 4 6 7 -8.5 23 7.5 -63.75

3 5 3 20 4.5 3.5 -12 -54

4 5 6 20 4.5 23 7.5 33.75

5 5 4 20 4.5 8.5 -7 -31.5

6 5 4 20 4.5 8.5 -7 -31.5

7 5 6 20 4.5 23 7.5 33.758 5 4 20 4.5 8.5 -7 -31.5

9 5 5 20 4.5 13.5 -2 -9

10 1 3 2 -13.5 3.5 -12 162

11 1 4 2 -13.5 8.5 -7 94.5

12 5 6 20 4.5 23 7.5 33.75

13 5 6 20 4.5 23 7.5 33.75

14 5 3 20 4.5 3.5 -12 -54

15 5 6 20 4.5 23 7.5 33.75

16 5 6 20 4.5 23 7.5 33.75

17 5 6 20 4.5 23 7.5 33.75

18 5 5 20 4.5 13.5 -2 -9

19 5 1 20 4.5 1 -14.5 -65.25

20 5 4 20 4.5 8.5 -7 -31.5

21 5 4 20 4.5 8.5 -7 -31.5

22 4 3 7 -8.5 3.5 -12 102

23 4 5 7 -8.5 13.5 -2 17

24 1 6 2 -13.5 23 7.5 -101.25

25 5 6 20 4.5 23 7.5 33.75

26 4 6 7 -8.5 23 7.5 -63.75

27 5 5 20 4.5 13.5 -2 -9

28 3 6 4 -11.5 23 7.5 -86.25

29 4 6 7 -8.5 23 7.5 -63.75

30 5 6 20 4.5 23 7.5 33.75


(humble) is 7.42 while the standard deviation of Y ranks (modest) is 8.39. The covariance


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is -4.12 and the Spearman rho is -0.066. Although technically a negative correlation, the

relationship between your variables is only weak (nb. the nearer the value is to zero, the

weaker the relationship).

Table 45


HUMBLE VS MODESTSAMPLE X Y Xra Xra-Mx Yra Yra-My Sum Difference

1 4 3 6.5 -9 7 -8.5 76.5

2 5 5 21 5.5 19 3.5 19.25

3 4 5 6.5 -9 19 3.5 -31.5

4 4 5 6.5 -9 19 3.5 -31.5

5 2 6 1 -14.5 28 12.5 -181.256 5 6 21 5.5 28 12.5 68.75

7 5 3 21 5.5 7 -8.5 -46.75

8 5 6 21 5.5 28 12.5 68.75

9 4 1 6.5 -9 1 -14.5 130.5

10 5 5 21 5.5 19 3.5 19.25

11 5 2 21 5.5 3 -12.5 -68.75

12 5 3 21 5.5 7 -8.5 -46.75

13 5 4 21 5.5 11 -4.5 -24.75

14 4 5 6.5 -9 19 3.5 -31.5

15 5 5 21 5.5 19 3.5 19.25

16 5 4 21 5.5 11 -4.5 -24.75

17 5 5 21 5.5 19 3.5 19.25

18 5 3 21 5.5 7 -8.5 -46.75

19 5 5 21 5.5 19 3.5 19.25

20 5 5 21 5.5 19 3.5 19.25

21 5 5 21 5.5 19 3.5 19.25

22 5 4 21 5.5 11 -4.5 -24.75

23 4 6 6.5 -9 28 12.5 -112.5

24 5 5 21 5.5 19 3.5 19.25

25 4 5 6.5 -9 19 3.5 -31.5

26 4 2 6.5 -9 3 -12.5 112.5

27 4 6 6.5 -9 28 12.5 -112.5

28 4 2 6.5 -9 3 -12.5 112.5

29 5 3 21 5.5 7 -8.5 -46.75

30 5 5 21 5.5 19 3.5 19.25


9/15


leader (Kind) is 8.29 while the standard deviation of Y ranks (Generous) is 8.64. The




Table 46


KIND VS GENEROUS

SAMPLE X Y Xra Xra-Mx Yra Yra-My Sum Difference1 4 5 17 1.5 22.5 7 10.5

2 4 4 17 1.5 15.5 0 0

3 4 4 17 1.5 15.5 0 0

4 5 4 27 11.5 15.5 0 0

5 3 3 6.5 -9 9.5 -6 54

6 5 2 27 11.5 5 -10.5 -120.75

7 3 2 6.5 -9 5 -10.5 94.5

8 5 5 27 11.5 22.5 7 80.5

9 4 3 17 1.5 9.5 -6 -9

10 3 6 6.5 -9 28 12.5 -112.5

11 4 5 17 1.5 22.5 7 10.5

12 2 2 1.5 -14 5 -10.5 147

13 3 5 6.5 -9 22.5 7 -63

14 4 6 17 1.5 28 12.5 18.75

15 4 4 17 1.5 15.5 0 0

16 4 5 17 1.5 22.5 7 10.5

17 3 4 6.5 -9 15.5 0 0

18 5 6 27 11.5 28 12.5 143.75

19 3 3 6.5 -9 9.5 -6 54

20 5 6 27 11.5 28 12.5 143.75

21 5 6 27 11.5 28 12.5 143.75

22 2 2 1.5 -14 5 -10.5 147

23 3 5 6.5 -9 22.5 7 -63

24 4 3 17 1.5 9.5 -6 -9

25 4 2 17 1.5 5 -10.5 -15.75

26 5 1 27 11.5 1.5 -14 -161

27 4 4 17 1.5 15.5 0 028 3 1 6.5 -9 1.5 -14 126

29 4 4 17 1.5 15.5 0 0

30 4 4 17 1.5 15.5 0 0


leader (Popular) is 7.25 while the standard deviation of Y ranks (Respectful) is 8.14. The


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Table 47


POPULAR VS RESPECTFUL

SAMPLE X Y Xra Xra-Mx Yra Yra-My Sum Difference

1 4 1 6 -9.5 8 -7.5 71.25

2 4 2 6 -9.5 19.5 4 -38

3 5 1 20.5 5 8 -7.5 -37.5

4 4 1 6 -9.5 8 -7.5 71.25

5 5 2 20.5 5 19.5 4 20

6 5 1 20.5 5 8 -7.5 -37.5

7 5 1 20.5 5 8 -7.5 -37.5

8 5 1 20.5 5 8 -7.5 -37.5

9 5 2 20.5 5 19.5 4 20

10 4 1 6 -9.5 8 -7.5 71.25

11 1 6 1 -14.5 29.5 14 -203

12 5 1 20.5 5 8 -7.5 -37.5

13 5 2 20.5 5 19.5 4 20

14 4 1 6 -9.5 8 -7.5 71.25

154 1 6 -9.5 8 -7.5 71.25

16 5 2 20.5 5 19.5 4 20

17 5 3 20.5 5 25.5 10 50

18 5 1 20.5 5 8 -7.5 -37.5

19 5 6 20.5 5 29.5 14 70

20 5 3 20.5 5 25.5 10 50

21 5 1 20.5 5 8 -7.5 -37.5

22 5 1 20.5 5 8 -7.5 -37.5

23 5 2 20.5 5 19.5 4 20

24 4 2 6 -9.5 19.5 4 -38

25 5 1 20.5 5 8 -7.5 -37.5

26 5 4 20.5 5 28 12.5 62.5

27 4 3 6 -9.5 25.5 10 -95

28 5 3 20.5 5 25.5 10 50

29 4 1 6 -9.5 8 -7.5 71.25

30 5 2 20.5 5 19.5 4 20


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leader (competitive) is 8.31 while the standard deviation of Y ranks (dynamic) is 8.5. The

covariance is -11.96 and the Spearman rho is -0.169. Although technically a negative



Table 48


COMPETITIVE VS DYNAMICSAMPLE X Y Xra Xra-Mx Yra Yra-My Sum Difference

1 4 2 14.5 -1 13.5 -2 2

2 5 1 24.5 9 4.5 -11 -99

3 4 2 14.5 -1 13.5 -2 2

4 4 2 14.5 -1 13.5 -2 2

5 5 1 24.5 9 4.5 -11 -99

6 5 5 24.5 9 27.5 12 108

7 3 4 6 -9.5 23 7.5 -71.25

8 3 3 6 -9.5 19 3.5 -33.25

9 4 6 14.5 -1 29.5 14 -14

10 3 2 6 -9.5 13.5 -2 19

11 5 1 24.5 9 4.5 -11 -99

12 3 4 6 -9.5 23 7.5 -71.25

13 5 1 24.5 9 4.5 -11 -99

14 3 4 6 -9.5 23 7.5 -71.25

15 5 2 24.5 9 13.5 -2 -1816 3 1 6 -9.5 4.5 -11 104.5

17 5 1 24.5 9 4.5 -11 -99

18 5 2 24.5 9 13.5 -2 -18

19 3 4 6 -9.5 23 7.5 -71.25

20 4 2 14.5 -1 13.5 -2 2

21 4 2 14.5 -1 13.5 -2 2

22 4 6 14.5 -1 29.5 14 -14

23 2 1 1 -14.5 4.5 -11 159.5

24 5 4 24.5 9 23 7.5 67.5

25 5 4 24.5 9 23 7.5 67.5

26 4 5 14.5 -1 27.5 12 -12

27 3 2 6 -9.5 13.5 -2 19

28 5 4 24.5 9 23 7.5 67.529 5 24.5 9 4.5 -11 -99

30 3 6 -9.5 13.5 -2 19


12/15

SKILL


leader (Officer in class/organization) is 7.98 while the standard deviation of Y ranks

(Formal) is 8.6. The covariance is 13.37 and the Spearman rho is 0.195. Although

technically a positive correlation, the relationship between your variables is weak (nb. the

nearer the value is to zero, the weaker the relationship).

Table 49


OFFICER IN CLASS/ ORGANIZATION VS FORMALSAMPLE X Y Xra Xra-Mx Yra Yra-My Sum Difference

1 4 4 13.5 -2 14 -1.5 3

2 5 6 26 10.5 26 10.5 110.25

3 4 5 13.5 -2 19 3.5 -7

4 4 4 13.5 -2 14 -1.5 3

5 3 3 4 -11.5 8.5 -7 80.5

6 5 5 26 10.5 19 3.5 36.75

7 4 5 13.5 -2 19 3.5 -7

8 5 5 26 10.5 19 3.5 36.75

9 4 3 13.5 -2 8.5 -7 14

10 4 6 13.5 -2 26 10.5 -21

11 4 2 13.5 -2 3.5 -12 2412 2 2 1.5 -14 3.5 -12 168

13 2 2 1.5 -14 3.5 -12 168

14 4 6 13.5 -2 26 10.5 -21

15 3 4 4 -11.5 14 -1.5 17.25

16 4 3 13.5 -2 8.5 -7 14

17 5 4 26 10.5 14 -1.5 -15.75

18 5 4 26 10.5 14 -1.5 -15.75

19 5 3 26 10.5 8.5 -7 -73.5

20 4 6 13.5 -2 26 10.5 -21

21 4 6 13.5 -2 26 10.5 -21

22 3 6 4 -11.5 26 10.5 -120.75

23 4 3 13.5 -2 8.5 -7 14

24 4 6 13.5 -2 26 10.5 -21

25 4 1 13.5 -2 1 -14.5 29

26 5 2 26 10.5 3.5 -12 -126

27 5 6 26 10.5 26 10.5 110.25

28 5 5 26 10.5 19 3.5 36.75

29 4 6 13.5 -2 26 10.5 -21

30 4 3 13.5 -2 8.5 -7 14


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(extracurricular activities) is 8.48 while the standard deviation of Y ranks (courageous) is




Table 50


EXTRACURRICULAR ACTIVITIES VS COURAGEOUSSAMPLE X Y Xra Xra-Mx Yra Yra-My Sum Difference

1 4 2 19 3.5 2.5 -13 -45.5

2 2 3 4.5 -11 8 -7.5 82.5

3 4 4 19 3.5 15.5 0 0

4 4 5 19 3.5 24 8.5 29.75

5 4 5 19 3.5 24 8.5 29.75

6 5 4 27.5 12 15.5 0 0

7 2 3 4.5 -11 8 -7.5 82.5

8 4 2 19 3.5 2.5 -13 -45.5

9 3 5 10.5 -5 24 8.5 -42.5

10 4 3 19 3.5 8 -7.5 -26.25

11 3 4 10.5 -5 15.5 0 0

12 4 5 19 3.5 24 8.5 29.75

13 1 5 1 -14.5 24 8.5 -123.25

14 3 4 10.5 -5 15.5 0 0

15 5 6 27.5 12 29.5 14 16816 2 2 4.5 -11 2.5 -13 143

17 4 6 19 3.5 29.5 14 49

18 4 5 19 3.5 24 8.5 29.75

19 3 2 10.5 -5 2.5 -13 65

20 4 4 19 3.5 15.5 0 0

21 2 4 4.5 -11 15.5 0 0

22 3 4 10.5 -5 15.5 0 0

23 5 5 27.5 12 24 8.5 102

24 5 3 27.5 12 8 -7.5 -90

25 3 4 10.5 -5 15.5 0 0

26 4 3 19 3.5 8 -7.5 -26.25

27 5 3 27.5 12 8 -7.5 -90

28 5 3 27.5 12 8 -7.5 -9029 2 4.5 -11 24 8.5 -93.5

30 2 4.5 -11 24 8.5 -93.5


leader (written/oral communication) is 8.26 while the standard deviation of Y ranks

(communicative) is 8.52. The covariance is -9.77 and the Spearman rho is -0.139.


14/15

Although technically a negative correlation, the relationship between your variables is

only weak (nb. the nearer the value is to zero, the weaker the relationship).

Table 51


WRITTEN/ORAL COMMUNICATION VS COMMUNICATIVESAMPLE X Y Xra Xra-Mx Yra Yra-My Sum Difference

1 4 1 12.5 -3 2.5 -13 39

2 4 4 12.5 -3 12 -3.5 10.5

3 5 6 24 8.5 25 9.5 80.75

4 3 6 6 -9.5 25 9.5 -90.25

5 5 2 24 8.5 6.5 -9 -76.5

6 5 6 24 8.5 25 9.5 80.75

7 5 6 24 8.5 25 9.5 80.758 5 6 24 8.5 25 9.5 80.75

9 3 6 6 -9.5 25 9.5 -90.25

10 4 5 12.5 -3 16.5 1 -3

11 1 1 1.5 -14 2.5 -13 182

12 2 6 3.5 -12 25 9.5 -114

13 1 6 1.5 -14 25 9.5 -133

14 4 3 12.5 -3 9.5 -6 18

15 4 5 12.5 -3 16.5 1 -3

16 5 6 24 8.5 25 9.5 80.75

17 5 1 24 8.5 2.5 -13 -110.5

18 5 2 24 8.5 6.5 -9 -76.519 5 1 24 8.5 2.5 -13 -110.5

20 5 5 24 8.5 16.5 1 8.5

21 5 5 24 8.5 16.5 1 8.5

22 4 2 12.5 -3 6.5 -9 27

23 2 6 3.5 -12 25 9.5 -114

24 5 4 24 8.5 12 -3.5 -29.75

25 5 5 24 8.5 16.5 1 8.5

26 3 6 6 -9.5 25 9.5 -90.25

27 4 5 12.5 -3 16.5 1 -3

28 4 4 12.5 -3 12 -3.5 10.5

29 4 2 12.5 -3 6.5 -9 2730 4 3 12.5 -3 9.5 -6 18

` Table 52 shows that the standard deviation of the X ranks or the traits of a

leader (athlete) are 8.53 while the standard deviation of Y ranks (prepared) is 8.52. The



15/15



Table 52


ATHLETE VS PREPAREDSAMPLE X Y Xra Xra-Mx Yra Yra-My Sum Difference

1 4 6 23.5 8 30 14.5 116

2 2 2 9 -6.5 14.5 -1 6.5

3 3 3 15.5 0 20 4.5 0

4 5 2 28.5 13 14.5 -1 -13

5 1 4 4 -11.5 24.5 9 -103.5

6 4 1 23.5 8 6 -9.5 -76

7 3 1 15.5 0 6 -9.5 0

8 3 3 15.5 0 20 4.5 0

9 1 2 4 -11.5 14.5 -1 11.510 1 1 4 -11.5 6 -9.5 109.25

11 4 5 23.5 8 28 12.5 100

12 4 1 23.5 8 6 -9.5 -76

13 3 3 15.5 0 20 4.5 0

14 3 5 15.5 0 28 12.5 0

15 4 3 23.5 8 20 4.5 36

16 3 5 15.5 0 28 12.5 0

17 2 2 9 -6.5 14.5 -1 6.5

18 3 3 15.5 0 20 4.5 0

19 3 4 15.5 0 24.5 9 0

20 1 1 4 -11.5 6 -9.5 109.25

21 2 1 9 -6.5 6 -9.5 61.75

22 1 1 4 -11.5 6 -9.5 109.2523 1 1 4 -11.5 6 -9.5 109.25

24 4 2 23.5 8 14.5 -1 -8

25 5 2 28.5 13 14.5 -1 -13

26 3 1 15.5 0 6 -9.5 0

27 5 4 28.5 13 24.5 9 117

28 5 1 28.5 13 6 -9.5 -123.5

29 1 1 4 -11.5 6 -9.5 109.25

30 3 4 15.5 0 24.5 9 0

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Spearman Rho Computation