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MATHEMATICS

FORM 3

MODULE 4

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STATISTICS II

MINISTRY OF EDUCATION MALAYSIA

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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

5. Untuk soalan subjektif, jawapan hendaklah ditulis pada kertas berasingan

yang disediakan oleh guru.

6. Jawab semua soalan.

Modul ini mengandungi 16 halaman bercetak

D A B C E

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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?

A

212

B

21410 +

C

554321 ++++

D

51413121110 ++++

10 11 12 13 14

4

3 The mode of a set of data is the data that occurs most often.

The table shows a set of data. 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.

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

5 4 6 4 3 4 5 6 4

2, 2, 5, 5, 5, 8, 8, 8, 9, 9, 9, 9, 9, 9, 10

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

7 is the

A

frequency

B

median

C

mode

D

mean

5 6 7 7 6 8 7 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

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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.

Votes for each candidate Who obtained the highest percentage of votes?

A

Alif

B

Azif

C

Amin

D

Azman

Azman 4y

3y Azif

Alif y

Amin 2y

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15 The line graph shows the number of cars sold in a week.

Number of cars sold

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

2

4

6

8

10

Days

Num

ber o

f car

s

Mon

day

Tues

day

Wed

nesd

ay

Thur

sda y

Frid

a y

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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

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?

A 100

11030

×

B 180

11030

×

C 400

36030

×

D 360

11030

×

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?

A

4161284 +++

B

4952161284

++++++

C

4)416()912()58()24( ×+×+×+×

D

4952)416()912()58()24(

+++×+×+×+×

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21 The table shows the marks obtained by 9 participants in a mathematics quiz. 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

3 7 4 3 5 2 3 6 7

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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.

Calculate the percentage of pupils who obtained score S.

A

14.4%

B

24.4%

C

25.0%

D

36.1%

P

130° Q

S

R 88°

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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?

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29 Kimee’s pocket money for a week is as follows:

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

A 100

36090

×

B 240

36090

×

C 360

24090

×

D 360

10090

×

RM3 RM3 RM3 RM2 RM2 RM10 RM3

15

32

A Nasi lemak B Nasi briyani C Nasi dagang D Nasi goreng

33

A

15

B

15.5

C

16.3

D

19

15 15 15 16 18 19

Nasi briyani

Nasi lemak

Nasi goreng

Nasi dagang

16

34

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

12 4 4 6 14 8

16 17

18

19

20

A B C D E

A B C D E

A B C D E

A B C D E

A B C D E

21 22

23

24

25

A B C D E

A B C D E

A B C D E

A B C D E

A B C D E

26 27

28

29

30

A B C D E

A B C D E

A B C D E

A B C D E

A B C D E

Tahun/ Tingkatan : 3 Mata Pelajaran: MATEMATIK

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

KEMENTERIAN PELAJARAN MALAYSIAKERTAS JAWAPAN OBJEKTIF

Ujian Diagnostik

5152

53

54

55

A B C D E

A B C D E

A B C D E

A B C D E

A B C D E

5657

58

59

60

A B C D E

A B C D E

A B C D E

A B C D E

A B C D E

4647

48

49

50

A B C D E

A B C D E

A B C D E

A B C D E

A B C D E

4142

43

44

45

A B C D E

A B C D E

A B C D E

A B C D E

A B C D E

31 32

33

34

35

A B C D E

A B C D E

A B C D E

A B C D E

A B C D E

36 37

38

39

40

A B C D E

A B C D E

A B C D E

A B C D E

A B C D E

1 2

3

4

5

A B C D E

A B C D E

A B C D E

A B C D E

A B C D E

6 7

8

9

10

A B C D E

A B C D E

A B C D E

A B C D E

A B C D E

11 12

13

14

15

A B C D E

A B C D E

A B C D E

A B C D E

A B C D E

Konstruk No. Soalan Jumlah Soalan

Bilangan Soalan Gagal Dijawab

Kegunaan Guru

K1

K3

K5

K6

K7

K8

K10

1-5

6-10

11-15

16-20

21-25

26-30

31-35

5

5

5

5

5

5

5

1

9

2

3

10

4

5

6

7

8

Nama Pelajar:

Nama Sekolah: Modul: 4