F2 Quiz1 Ans
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F.2 Mathematics – Quiz 1 (Answer)
Page 1
Kwok Tak Seng Catholic Secondary School F.2 Mathematics Quiz 1 – Construction and Interpretation of Simple Diagrams and Graphs (Answer) 1.
The following shows the heights of 40 Form Two students (unit: cm). 162 165 164 155 167 174 157 163 159 173 175 168 162 153 164 168 170 167 152 167 178 173 170 156 169 158 160 168 166 167 154 173 160 166 174 164 157 165 163 167 (a) Draw a stem-and-leaf diagram to present the above data. Stem (10cm)
(b)
(4 marks)
Leaf (1cm)
15
234567789
16
0022334445566777778889
17
003334458 The heights of 40 Form Two students
Complete the following frequency distribution table. Frequency Class Mark (cm)
(4 marks)
Height (cm)
Tally
Class Boundaries (cm)
150 – 154
///
3
152
149.5 – 154.5
155 – 159
//// /
6
157
154.5 – 159.5
160 – 164
//// ////
9
162
159.5 – 164.5
165 – 169
//// //// ///
13
167
164.5 – 169.5
170 – 174
//// //
7
172
169.5 – 174.5
175 – 179
//
2
177
174.5 – 179.5
(c)
Construct a frequency polygon to present the above data.
(4 marks)
(d)
Construct a cumulative frequency polygon to present the above data.
(4 marks)
F.2 Mathematics – Quiz 1 (Answer)
(e)
Page 2
Find all the quartiles of the heights of students. Lower Quartile = 160 cm Median = 165.5 cm Upper Quartile = 169 cm
(4 marks)
(f) How many students are taller than 172.5 cm? Number of students that are taller than 172.5 cm = (40-35) =5
2.
(3 marks)
The diagram below shows the time that the staff of a company spend to go to work every day.
(a)
What kind of diagram is it? Cumulative Frequency Polygon
(1 mark)
(b)
How many staff are there in the company? 50
(1 mark)
(c)
What is the median and 80 percentile of time spent by the staff on going to work? Median = 1.2 h 80 percentile = 1.9 h
(3 mark)
(d)
What is the percentage of staff that spend 1.05 to 2.05 hours to go to work? Number of staff that spend 1.05 to 2.05 hours to go to work = 44 – 23 = 21
(4 mark)
Percentage of staff that spend 1.05 to 2.05 hours to go to work =
21 × 100% 50
= 42% (e)
If traveling allowances would be given to staff that spend more than 2 hours to go to work, what is the percentage of the staff that can receive traveling allowances? Number of staff that spend more than 2 hours to go to work = 7 Percentage of the staff that can receive traveling allowances =
7 × 100% 50
= 14%
- END -
(3 mark)
Page 1
Kwok Tak Seng Catholic Secondary School F.2 Mathematics Quiz 1 – Construction and Interpretation of Simple Diagrams and Graphs (Answer) 1.
The following shows the heights of 40 Form Two students (unit: cm). 162 165 164 155 167 174 157 163 159 173 175 168 162 153 164 168 170 167 152 167 178 173 170 156 169 158 160 168 166 167 154 173 160 166 174 164 157 165 163 167 (a) Draw a stem-and-leaf diagram to present the above data. Stem (10cm)
(b)
(4 marks)
Leaf (1cm)
15
234567789
16
0022334445566777778889
17
003334458 The heights of 40 Form Two students
Complete the following frequency distribution table. Frequency Class Mark (cm)
(4 marks)
Height (cm)
Tally
Class Boundaries (cm)
150 – 154
///
3
152
149.5 – 154.5
155 – 159
//// /
6
157
154.5 – 159.5
160 – 164
//// ////
9
162
159.5 – 164.5
165 – 169
//// //// ///
13
167
164.5 – 169.5
170 – 174
//// //
7
172
169.5 – 174.5
175 – 179
//
2
177
174.5 – 179.5
(c)
Construct a frequency polygon to present the above data.
(4 marks)
(d)
Construct a cumulative frequency polygon to present the above data.
(4 marks)
F.2 Mathematics – Quiz 1 (Answer)
(e)
Page 2
Find all the quartiles of the heights of students. Lower Quartile = 160 cm Median = 165.5 cm Upper Quartile = 169 cm
(4 marks)
(f) How many students are taller than 172.5 cm? Number of students that are taller than 172.5 cm = (40-35) =5
2.
(3 marks)
The diagram below shows the time that the staff of a company spend to go to work every day.
(a)
What kind of diagram is it? Cumulative Frequency Polygon
(1 mark)
(b)
How many staff are there in the company? 50
(1 mark)
(c)
What is the median and 80 percentile of time spent by the staff on going to work? Median = 1.2 h 80 percentile = 1.9 h
(3 mark)
(d)
What is the percentage of staff that spend 1.05 to 2.05 hours to go to work? Number of staff that spend 1.05 to 2.05 hours to go to work = 44 – 23 = 21
(4 mark)
Percentage of staff that spend 1.05 to 2.05 hours to go to work =
21 × 100% 50
= 42% (e)
If traveling allowances would be given to staff that spend more than 2 hours to go to work, what is the percentage of the staff that can receive traveling allowances? Number of staff that spend more than 2 hours to go to work = 7 Percentage of the staff that can receive traveling allowances =
7 × 100% 50
= 14%
- END -
(3 mark)
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