The table shows the distribution of marks obtained by students in an examination.
Marks (%)
0 - 9
10 - 19
20 - 29
30 - 39
40 - 49
50 - 59
60 - 69
70 - 79
80 - 89
90 - 99
Frequency
7
11
17
20
29
34
30
25
21
6
(a) Construct a cumulative frequency table for the distribution.
(b) Draw the cumulative frequency curve for the distribution.
(c) Using the curve, find correct to one decimal place, the:
(i) median mark;
(ii) lowest mark for the distinction if 5% of the students passed with distinction
Verified Correct Answer: .
Step-by-Step Mathematical Solution
Marks
Upper
Class
Boundary
Frequency (F)
Cumulative
Frequency (F)
(CF)
0 - 9
10 - 19
20 - 29
30 - 39
40 - 49
50 - 59
60 - 69
70 - 79
80 - 89
90 - 99
9.5
19.5
29.5
39.5
49.5
59.5
69.5
79.5
89.5
99.5
7
11
17
20
29
34
30
25
21
6
7
18
35
55
84
118
148
173
194
200
(b)
(c) (I) Median Mark = 54.5
(ii) Lowest mark, if 5% of the students passed = 14
Source: Myschool Past Questions Archive (Record #58715)