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
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[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
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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
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[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)
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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
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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
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-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
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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
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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
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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
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-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
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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
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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
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