2003 – 2004 F.2 Mathematics Test
Chapter 14 Simple Statistical Graphs (II)
Marymount Secondary School
F.2 Mathematics Test
Time allowed: 25 minutes
Name: ____________________
Class (No): __________________
A university conducted a survey on the degree of satisfaction of the Governor’s work. It
successfully interviewed 1000 people randomly and obtained the following results.
Feeling satisfied
Age group
Frequency
15 – 24
15
25 – 34
17
35 – 44
24
45 – 54
30
55 – 64
33
65 – 74
39
158
Total
Table 1
Feeling dissatisfied
Age less than
Cumulative Frequency
14.5
0
24.5
132
34.5
286
44.5
451
54.5
598
64.5
726
74.5
842
Table 2
LEVEL 1
1. a. Construct a frequency table for the data in Table 2.
b. Hence, construct a frequency polygon.
(3 marks)
(5 marks)
LEVEL 2
2. a. Construct a cumulative frequency table for the data in Table 1.
b. Hence, construct a cumulative frequency polygon.
(3 marks)
(5 marks)
3. Using the cumulative frequency polygon in Question 2 (b), do the followings:
a. Estimate the number of people who are under the age of 50.
b. If all the 158 people lined up according to their ages in ascending order, estimate the age
of the 100th person.
c. Among the 158 people who satisfied with the Governor, find the percentage of people
who are between 30 to 60 years old. (Correct your answer to 2 decimal places.)
(5 marks)
LEVEL 3
4. Base on your observation, give TWO comments on the survey results above.
(2 marks)
5. A newspaper used the sentence “Over 90% of adults* satisfied!” as the heading of the
article reporting the survey result shown above. Do you think that the heading is appropriate
or misleading? Comment and Explain.
* Adults are defined as people over 18 years old.
(Note that your judgment MUST BE accompanied with VALID and REASONABLE
explanations in order to score marks.)
(4 marks)
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