Question

A student scores the following on his 5 chapter tests: 80, 72, 43, 58, and 96. What is his mean test grade?

What if that same student from Question 3 used Median to describe his 'average test grade', what would that be? ( those test scores again were: 80, 72, 43, 58, and 96)

Answer #1

Given that students test scores are as below

80 , 72 , 43 , 58 , 96

What is the mean?

Mean can be find out by taking average of given scores

Mean = sum of all scores / total number of scores

Mean = (80 + 72 + 43 + 58 + 96 ) / 5

Mean = 349 /5 = 69.8

So Mean for given test scores is 69.8

Now the student wants to describe his average test grade by its Median

So for finding median we need arrange the given scores in a ascending order

So 43 , 58 , 72 , 80 , 96

Now we have odd number of scores so the middle number will be the Median

If we have even number of scores then the average of middle two numbers treated as a Median

So 72 is median

So student can describe his average test grade is 72

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..
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21
21.5
24
cannot be determined without additional
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none of these
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Student
Test
Grade
1
76
62
2
84
90
3
79
68
4
88
84
5
76
58
6
66
79
7
75
73
8
94
93
9
66
65
10
92
86
11
80
53
12
87
83
13
86
49
14
63
72
15
92
87
16
75
89
17
69
81
18
92
94
19
79
78
20
60
71
21
68
84
22
71
74
23
61
74
24
68
54
25
76
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60
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Student
Midterm
Final Exam
1
75
64
2
85
91
3
80
68
4
88
83
5
76
60
6
67
80
7
78
74
8
95
94
9
67
61
10
93
87
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Define: mean and median.
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