08 (statistics ii)

7/29/2019 08 (Statistics II)

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TOPIC 4: STATISTICS II

1.

The table shows the favourite foods of a group of pupils. Draw a line graph to represent the data.

Jadual di atas menunjukkan makanan kegemaran bagi sekumpulan pelajar. Lukiskan graf garis bagi

menunjukkan data di atas.

[4 marks]

2.

The table shows the number of students in form 3 classes in SMK Seri Murni. Draw a bar chart graph

to represent the data.

Jadual di atas menunjukkan bilangan murid di dalam kelas tingkatan 3 SMK Seri Murni. Lukis

carta palang bagi menunjukkan data di atas.

1

FOODS

Makanan

NUMBER OF PUPILS

Bilangan Pelajar

CURRY PUFF 25

MUFFIN 15

APPLE PIE 15

PIZZA 30

NOODLE 35

CLASS

Kelas

NUMBER OF STUDENTS

Bilangan Pelajar

3G 35

3C 403P 25

3B 20

3M 30


2/15

[3 marks]

3.

0

5

1015

20

25

30

35

40

45

50

55

60

1 2 3 4 5

Chinesse

Melayu

The line graph shows the number of students in five societies and clubs. calculate the total number of

Chinesse students.

Graf garis di atas menunjukkan bilangan pelajar di dalam lima persatuan dan kelab. Hitungkan

bilangan pelajar Cina.

[2 marks]

4.

120

45

2

Rajah 3

Diagram 3

A

B

D

E

C


3/15

The pie chart shows the most popular of international football league. The popularity of league C

equally to league A and E. Find the angle of league D.

Carta pai di atas menunjukkan liga bolasepak antarabangsa yang paling popular. Populariti liga C

menyamai liga A dan E. Hitungkan sudut bagi liga D.

[2 marks]

5. The diagram shows the number of book borrowed from a school library by 14 students.

Jadual di bawamenunjukkan rekod pinjaman buku bagi 14 pelajar di Pusat Sumber Sekolah.

(a) Using the data, complete the frequency table below.

Dengan menggunakan data di atas, lengkapkan jadual di bawah.

Number Frequency

2 4

3

4

5

6

(b) State the median.

Nyatakan median.

[3 marks]

6. The table below shows the ages of a group of female operators in a factory.

Jadual di bawah mmenunjukkan umur bagi operator wanita di sebuah kilang.

Ages Number of workers

25 3

27 4

29 7

31 x

33 5

The median age of the worker is 29 years old. Find the possible value of x.

Median bagi umur operator tersebut ialah 29 tahun. Hitungkan nilai mungkin bagi x.

3

3 2 4 3 5 6 2

4 2 5 5 3 2 6


4/15

[3 marks]

7. The bar chart shows the incomes of a private company in Malaysia throughout a duration of five

month.

Carta Bar di bawah menunjukkan pendapatan lima bulan bagi syarikat swasta di Malaysia.

State the greatest increased between two consecutive months.

Nyatakan peningkatan pendapatan tertinggi bagi dua bulan yang berturut.

[3 marks]

4

45

40

35

30

25

20

15

10

5

Jan Mac Apr Mei Jun

INCO

MES(RMM

ILLION)


5/15

PMR past year questions

2004

1. The data in Diagram 5 shows marks obtained by 20 participants in a quiz.

1 4 6 5 4 6 3 5 4 62 1 2 4 6 1 2 4 2 3

a) Using the data, complete the frequency table in the answer space.b) State the mode. [3 marks]

Answer :a)

Marks 1 2 3 4 5 6

Frequency

b)

2. Table 1 shows the number of books in the reading corners of three classes.

Class Number of Books

Aman 75

Bestari 60

Cerdas 90

Table 1The information for Bestari class is shown fully in the pictograph in the answerspace. Complete the pictograph to represent all the information in Table 1.

[3 marks]

Answer :

Number of books in the reading corners

Aman

Bestari

Cerdas

Represents _______ books

2005

5


6/15

3. Table 1 shows the number of students who play four types of games.

Types of games Number of students

Ping-pong 8

Badminton 15

Hockey 25

Handball 12Table 1

The information for badminton is shown fully in the pie chart in theanswer space.Complete the pie chart to represent all the information in Table 1.

[5 marks]

Answer :

90

Badminton

2006

4. Table 1 shows the profit made from the sales of nasi lemak at a stall over 5days.

Day Monday Tuesday Wednesday Thursday Friday

Profit (RM) 32 40 24 28 28

Table 1

On Diagram 4 in the answer space, draw a line graph to represent all theinformation in Table 1. Use the scale 2 cm to RM8 on the vertical axis.

[5 marks]

Answer :

6


7/15

-30 -25 -20 -15 -10

40

32

24

16

8

FriThurWe dTueMo n

Day

Profit (RM)

Diagram 4

5. Diagram 5 is a pie chart which shows the number of pupils in five group whocomplete an assignment during a motivational camp.

It is given that the total number of pupils who complete the assignment is 36.a) Find the value ofx.b) Calculate the angle of the sector representing the Tuah group.

Show your working.c) State the mode of your data.[5 marks]

Answer :a)

b)

c)2007

7

Lekiu

12

Tuah10

Lekir8

Kasturi2x

Jebatx Diagram 5


8/15

6. Table 1 shows three activities participated by a group of 50 students.

Activities Number ofstudents

Chess 24

Hockey M

Choir 18

Table 1

a) Find the value of Mb) Hence , represent all the data by drawing a bar chart in the answer space.

[4 marks]

Answer :a)

b)

18

16

14

12

10

8

6

4

2

28

24

20

16

0

12

ChoirHockeyheess

8

4

Activities

Number of students

8


9/15

7. Diagram 3 shows the scores obtained by 15 Police Cadets in a shootingcompetition.

1, 2, 4, 3, 1, 2, 4, 1, 3, 2, 1, 3, 1, 1, 3

Diagram 3

a) Using the data, complete the frequency table in the answer space.

b) State the median. [ 3 marks]Answer :

a)Score Frequency

1

2

3

4

b) Median =

20088. Table 15 in the answer space shows the number of gold medals obtained by

four schools in a sports competition. The information for school L is shown fullyin the pie chart in Diagram 15.

Completea) the angles of the sectors for school M and school N in Table 15.b) the pie chart in Diagram 15 to represent all the information in Table 15.

[5 marks]

Answer:a)

School Number of gold medals Angle of sector

K 10 300

L 60 180o

M 20

N 30

b)

9

L

180oDiagram 15


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ANSWERS

TOPIC 4: STATISTICS

1.

[3 marks]

2.

[3 marks]

3. 30 + 45 + 45 + 35 + 40 =195

4. 360 [(45 X 2 ) + 90 + 120 ] = 60

5. (a) .

10

40

35

30

25

20

15

10

5

40

35

30

25

20

15

10

5

Curry Puff Muffin Apple Pis Pizza Noodle

3G 3C 3P 3B 3M


11/15

Number Frequency

2 4

3 3

4 2

5 3

6 2

(b) 4 + 3 + 2 + 3 + 2 = 14 2 = 7

median = 3 [3 marks]

6. Kedudukan median = 14[(3 + 4 + 7 + x + 5) 2 = 14

19 + x = 28

x = 9 [3 marks]

7. 45 35

10 million

[3 marks]

PMR Past Year Questions1. a)

Marks 1 2 3 4 5 6Frequency 3 4 2 5 2 4

b) 4

2. Number of books in the reading corners

Aman

Bestari

Cerdas

Represents ___30____ books

3.

c1

72

9048

150

Hockey

Ping

Pong

Hand ball

Badminton

4.

11


12/15

-30 -25 -20 -15 - 10

40

32

24

16

8

FriThurWedTueMo n

Day

Profit (RM)

Diagram 4

5. a) 2

b) 100o

c) Lekiu

6. a) 86. b)

18

16

14

12

10

8

6

4

2

28

24

20

16

0

12

ChoirHockeyCheess

8

4

Activities

Number of students

7. a)Score Frequency

1 6

2 3

3 4

4 2

b) 2

12


13/15

8. a) a)

SchoolNumber of gold

medalsAngle of sector

K 10 300

L 60 180o

M 20 600

N 30 900

b)

N

M

K

180

60

90

30

L

13


14/15

1 ENRICHMENT

1 What is the median for the set of data given below?

16, 12, 14, 10, 16, 12, 14, 16

2 Find the mode for the data given below.

7, 6, 7, 5, 4, 6, 5, 7

3 Find the mean for the data below.

14, 16, 10, 13, 15, 18, 14, 20

4 There are five boxes containing beads. The total number of beads in the boxes is 150.

What is the mean for the number of beads in each box?

5

Month Number of books sold

January

February

March

April

represents 20 books

The pictograph shows the number of books sold by a bookshop. What is the mean for the

number of books sold per month?

6 The mean for 6, 5, 7, x, 10, 8 is 8. Calculate the value ofx.

7 The mean pay of workers in a factory with 200 workers is RM900. If the factory

employed an additional 20 workers, paying them RM999 each, what is the mean pay now?

14


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8

Tuesday

Monday 140

120

60 40

Wednesday

Thursday

The pie chart above shows Pak Lis fish catch for the four days. If Pak Li caught 160

kilograms on Wednesday, how many kilograms did he catch on Tuesday?

Questions 9 and 10 are based on the table given below.

In a quiz show, five contestants obtained the following scores in first and second rounds.

Contestant Round 1 Round 2

A 10 5

B 12 6

C 18 4

D 15 7

E 15 8

9 What is the mean score for Round 1?

10 What is the median score for Round 2 ?

15

08 (statistics ii)

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