2. MODULE 4: STATISTICS II
Arahan:
1. Modul ini mengandungi tiga puluh lima soalan. Semua soalan adalah dalam
bahasa Inggeris.
2. Modul merangkumi tujuh konstruk yang diuji
K1 - Memahami soalan dalam bahasa Inggeris
K3 - Memahami istilah matematik dalam bahasa Inggeris
K5 - Menguasai konstruk pengetahuan
K6 - Menguasai konstruk kefahaman
K7 - Menguasai konstruk kemahiran
K8 - Mengungkapkan idea/informasi dalam bahasa Inggeris
K10 - Memahami pengajaran dan pembelajaran dalam bahasa Inggeris
3. Murid hendaklah menulis maklumat diri dalam kertas jawapan objektif disediakan.
Murid juga perlu memastikan maklumat konstruk, nombor soalan dan jumlah
soalan seperti yang dibaca oleh guru di dalam ruangan disediakan dalam kertas
jawapan objektif sebelum ujian.
4. Bagi soalan objektif, anda perlu menandakan jawapan dengan menghitamkan
pilihan jawapan pada pilihan jawapan A , B , C atau D pada kertas jawapan
objektif.
Contoh:
Antara berikut, yang manakah haiwan?
A. Pokok B. Kambing C. Kereta D. Pen
A B C D E
5. Untuk soalan subjektif, jawapan hendaklah ditulis pada kertas berasingan
yang disediakan oleh guru.
6. Jawab semua soalan.
Modul ini mengandungi 16 halaman bercetak
2
3. 1 In a pie chart, the biggest sector represents the data with the highest quantity. Based
on the data given below, which data will be represented by the biggest sector?
The table shows the means of transport used by a group of students.
Mode of Transport Number of students
Car 300
Bus 280
Taxi 80
Bicycle 350
Which data will be represented by the biggest sector?
A Car
B Bus
C Taxi
D Bicycle
2 The mean of a group of five numbers is the sum of the five numbers divided by 5.
What is the mean of the following numbers?
10 11 12 13 14
A 12
2
10 + 14
B
2
1+ 2 + 3 + 4 + 5
C
5
10 + 11 + 12 + 13 + 14
D
5
3
4. 3 The mode of a set of data is the data that occurs most often.
The table shows a set of data.
5 4 6 4 3 4 5 6 4
What is the mode of the data?
A 3
B 4
C 5
D 6
4 The median of a set of data is the data in the middle when the data is arranged in
numerical order.
The table shows a set of data arranged in ascending order.
2, 2, 5, 5, 5, 8, 8, 8, 9, 9, 9, 9, 9, 9, 10
What is the median of the set of data?
A 6.5
B 8
C 8.5
D 9
5 A line graph is suitable to represent data collected over a period of time.
Which of the following data is suitable to be represented by line graph?
A Number of students who score A in the Mathematics test
B Amount of rainfall recorded from January to July
C Height of the students in 3 Cemerlang
D The price of imported cars
4
5. 6 A graphic representation of data which uses pictures is known as a
A pictogram
B bar chart
C pie chart
D line graph
7 Each part of a pie chart that represents a group of data is known as
A a shaded region
B a segment
C an angle
D a sector
8 Which of the following is an example of discrete data?
A The temperature in the classroom from 7.00 am to 12.00 noon.
B The number of pupils who are absent from school today.
C The distance from Aiman’s house to his school.
D The height of the pupils in Form 3 Gemilang.
9 The table below shows a set of data
5 6 7 7 6 8 7 5
7 is the
A frequency
B median
C mode
D mean
5
6. 10 In the set of data 2, 4, 5, 8, 9, 10 and 11, 8 is the
A frequency
B median
C mode
D mean
11 The median of 1, 2, 3, 5, 8, is
A 8
B 5
C 3
D 2
12 The table shows the number of cars owned by 40 families in a town.
Number of cars 0 1 2 3 4
Number of families 3 9 17 7 5
What is the mode of the data?
A 2
B 4
C 5
D 17
6
7. 13 The pictogram shows the favourite games of a group of students in Form 3.
Favourite games of students
Ping pong
Football
Hockey
Netball
Badminton
represents 5 students
Determine the mode of the data.
A Football
B Badminton
C Badminton and football
D Hockey, netball and ping pong
14 The pie chart shows the distribution of votes among 4 candidates in an election.
Alif
Azman
y
4y
Amin 2y
3y
Azif
Votes for each candidate
Who obtained the highest percentage of votes?
A Alif
B Azif
C Amin
D Azman
7
8. 15 The line graph shows the number of cars sold in a week.
Number of cars sold
10
Number of cars
8
6
4
2
Days
Wednesday
Tuesday
Monday
Thursday
Friday
What is the frequency of the mode?
A 4
B 6
C 8
D 10
16 The data shows the favourite fruits of a group of students.
M W P P B P Key:
P B W P P M P- Papaya
B- Banana
B P P M P P M- Mango
W- Watermelon
B W B W M W
What is the mode of the data?
A Mango
B Banana
C Papaya
D Watermelon
8
9. 17 The median of 32, 42, 78, 32 and 51 is
A 32
B 42
C 47
D 78
18 In a survey carried out among 33 families, the number of children in each family was
recorded.
The table below shows the results of the survey.
Number of children 0 1 2 3 4
Number of families 3 9 8 10 3
Determine the mode.
A 2
B 3
C 8
D 10
9
10. 19 The table shows the number of students in four Form 3 classes. The total number of
students is 110.
Class Number of students
3 Kristal 30
3 Nilam 25
3 Baiduri 28
3 Arked 27
To represent this data in a pie chart, the following calculations were carried out.
Which of the following is correct to calculate the angle to represent the sector for 3
Kristal?
30
× 100
A
110
30
× 180
B
110
30
× 400
C 360
30
× 360
D
110
20 The table shows the frequency of scores obtained by a school football team.
Score 4 8 12 16
Frequency 2 5 9 4
Which of the following calculation is used to find the mean score?
4 + 8 + 12 + 16
A
4
4 + 8 + 12 + 16
B
2+5+9+4
(4 × 2) + (8 × 5) + (12 × 9) + (16 × 4)
C
4
(4 × 2) + (8 × 5) + (12 × 9) + (16 × 4)
D
2+5+9+4
10
11. 21 The table shows the marks obtained by 9 participants in a mathematics quiz.
3 7 4 3 5 2 3 6 7
Find the difference between the mode and the median.
A 0
B 1
C 2
D 3
22 The table shows the shoe sizes of a group of students
Shoe size 4 5 6 7
Frequency 6 10 9 7
Calculate the mean of the data.
A 4.2
B 5.0
C 5.53
D 8.15
11
12. 23 The frequency table shows the test results of a group of students.
Result Frequency
Distinction 45
Credit 35
Pass 13
Fail 7
If the data is shown on a pie chart, calculate the angle of the sector representing
students who obtained credit.
A 35°
B 72°
C 126°
D 162°
24 The pie chart shows the scores of a test.
S
P
R
88°
130°
Q
Calculate the percentage of pupils who obtained score S.
A 14.4%
B 24.4%
C 25.0%
D 36.1%
12
13. 25 Given the mean of 2, 7, 8, 10 and x is 6, find the value of x.
A 3
B 5
C 7
D 8
All questions from number 26 to number 30 must be answered in words
26 Describe a pie chart.
27 What is the relationship between the quantity of data represented by each sector in a
pie chart and the angle of the sector?
28 The number of students absent from school during a certain week is as follows.
Day Monday Tuesday Wednesday Thursday Friday
Number of students
absent 23 27 15 16 19
If the number of students who are absent on Tuesday is only 17, how will this affect
the mean?
13
14. 29 Kimee’s pocket money for a week is as follows:
RM3 RM3 RM3 RM2 RM2 RM10 RM3
Which of the averages, mode, median or mean is NOT suitable to represent Kimee’s
daily pocket money? Why?
30 How do you determine the median of a set of data that consist of an even number of
data?
From Question 31 to 35, the teacher reads the questions to the students. Students
choose the correct answer.
31
90
× 100
A
360
90
× 240
B
360
90
× 360
C
240
90
× 360
D
100
14
15. 32
Nasi
goreng
Nasi
briyani
Nasi
dagang
Nasi lemak
A Nasi lemak
B Nasi briyani
C Nasi dagang
D Nasi goreng
33
15 15 15 16 18 19
A 15
B 15.5
C 16.3
D 19
15
16. 34
12 4 4 6 14 8
A 4
B 5
C 7
D 8
35
A 18.5
B 19.5
C 23.4
D 37.0
END OF QUESTION PAPER
16
17. KEMENTERIAN PELAJARAN MALAYSIA
KERTAS JAWAPAN OBJEKTIF
Ujian Diagnostik
Nama Pelajar:
Tahun/ Tingkatan : 3 Mata Pelajaran: MATEMATIK
Modul: 4
Nama Sekolah:
GUNAKAN PENSIL 2B ATAU BB SAHAJA.
TENTUKAN TIAP-TIAP TANDA ITU HITAM DAN MEMENUHI KESELURUHAN RUANG.
PADAMKAN HINGGA HABIS MANA-MANA TANDA YANG ANDA UBAH
SILA HITAMKAN JAWAPAN DI BAWAH MENGIKUT HURUF JAWAPAN YANG ANDA PILIH
A A A
B C D E B C D E B C D E
1 31 46
A A A
2 32 47
B C D E B C D E B C D E
A A A
B C D E B C D E B C D E
3 33 48
A A A
B C D E B C D E B C D E
4 34 49
A A A
B C D E B C D E B C D E
5 35 50
A A
B C D E B C D E
6 36 51
A B C D E
A A
7 37 52
B C D E B C D E
A B C D E
A A
B C D E B C D E
A
8 38 53
B C D E
A A
B C D E B C D E
A
9 39 54
B C D E
A A
B C D E B C D E
10 40 55
A B C D E
A A
B C D E B C D E
A 41 56
B C D E
11
A A
42 57
B C D E B C D E
A
12 B C D E
A A
B C D E B C D E
A B C D E 43 58
13
A A
B C D E B C D E
A B C D E 44 59
14
A A
B C D E B C D E
A 45 60
B C D E
15
Jumlah Bilangan Soalan
Konstruk No. Soalan Kegunaan Guru
A B C D E
16
Soalan Gagal Dijawab
A
17 B C D E
A K1 1-5 5
B C D E 1
18
A B C D E
19
K3 6-10 5
2
A B C D E
20
K5 11-15 5
3
A B C D E
21
K6 16-20 5
4
A
22 B C D E
A B C D E
23
K7 21-25 5
5
A B C D E
24
A B C D E
25 26-30 5
K8
6
31-35 5
K10
7
A B C D E
26
A
27 B C D E
8
A B C D E
28
A B C D E 9
29
A B C D E
30
10
