The table shows the recorded grades of the 10 students on the midterm test as well as the final examination for the subject of probability. Determine the correlation using the Spearman Rank Correlation.
Student
Midterm Test
Final Exam
1
87
77
2
92
88
3
78
80
4
80
91
5
93
78
6
86
78
7
72
66
8
91
87
9
98
63
10
84
73
Using the Spearman Rank Correlation Coefficient, the value of r is:
r = 1 – 6 ∑ d2/ n (n-1) = 1
= 1 – 6 (125.5)/10(102 -1)
= 1 – 753/990
= 1 – 0.76
= 0.24 or has the low correlation
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