The table below shows the mark distribution of candidates in an aptitude test for selection into the public service.
Marks (in %)
Freq
44 - 46
2
47 - 49
5
50 - 52
11
53 - 55
20
56 - 61
42
62 - 64
46
65 - 67
36
68 - 70
9
71 - 73
3
(a) Make a cumulative frequency for the distribution
(b) Draw the cumulative frequency curve.
(c) From your graph, estimate the median mark.
(d) The cut-off mark was 63%. What percentage of the candidates was selected?
Verified Correct Answer: .
Step-by-Step Mathematical Solution
(a)
Marks (in %)
Freq
Class boundaries
Cum Freq
44 - 46
2
43.5 - 46.5
2
47 - 49
5
46.5 - 49.5
7
50 - 52
11
49.5 - 52.5
18
53 - 55
20
52.5 - 55.5
38
56 - 61
42
55.5 - 61.5
80
62 - 64
46
61.5 - 64.5
126
65 - 67
36
64.5 - 67.5
162
68 - 70
9
67.5 - 70.5
171
71 - 73
3
70.5 - 73.5
174
Source: Myschool Past Questions Archive (Record #54494)