Chapter 8 statistics
Transcript of Chapter 8 statistics
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CHAPTER 8 :STATISTICS 1.1 Data – a collection of information or facts. Data can be collected by – Counting, Measuring, Observation, Interview or Questionnaires. The data collected should be recorded in Frequency Table by using a tally chart. A tally chart shown below : eg 1 : Tally Chart
Mark Tally Marks 48 53 60 65 72
1.2 Frequency – the number of times a certain number, measurement, score
or item occurs. Frequency can be easily obtained by using a tally chart shown by eg 1 and a frequency table is used to organize a set of data. The frequency table can be constructed either vertically or horizontally that
shown below. eg 2 : Frequency Table
Mark Frequency 48 5 53 7 60 4 65 5 72 3
1.3 The ways to represent and interpret data : A. Pictograms - represents data in the form of a picture diagram, use a picture or a
symbol that is easily understood. eg 3 :
Group A
Group B
Group C
represents 10 students
Mark 48 53 60 65 72 Frequency 5 7 4 5 3
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B. Bar Charts - represents data using vertical or horizontal bars. It is a frequency
diagram using rectangles of equal width.
eg 4 :
Number ofClassrooms
School
TSRQP
160
140
120
100
80
60
40
20
0
- A dual bar chart can be constructed to represent two sets of data in the same chart by using separate bars or single bar.
eg 5 :
Number ofClassrooms
School
RQP
100
80
60
40
20
0
C. Line Graphs - used to represent changes in data over a period of time. The data is
first represented by points. Then line segments are drawn to join the points.
eg 6 :
M Days 20 40 60 80
100
Sale of chocolate cakes
0 T W T F S S
Number of Classrooms
School
T
S
R
Q
P
160140120100806040200
140
Number ofClassrooms
School
RQP
120
100
80
60
40
20
0
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D. Pie chart - a circle, divided into sectors of various sizes, used for illustration and comparison of different categories of data. For a quantity P, the angle of the sector representing P is
Angle of sector = Frequency of P
360Total frequency
× °
= Frequency of P 360× ° eg 7 : Type of Food Sold in A Day 1.4 Mode, Median and Mean . A Mode – the value or item which occurs most frequently or highest
frequency. The mode can determine from a given set of data, a frequency table, a pictogram, a bar chart, a line graph or pie chart.
eg8 : 7, 4, 3, 4, 8, 7, 5, 4, 3
mode = 4 ( frequency=3 )
B Median – the middle value when all the data are arranged in an increasing or decreasing order. If the number of values is odd, then the median is the middle value. If the number of values is even, then the median is the mean of the two middle values.
eg 9a : 10g, 12g, 18g, 10g, 16g ⇒10, 10, 12, 16, 18 Median = 12g
eg 9b : 10, 12, 18, 10, 16,14 ⇒10, 10, 12, 14, 16, 18
Median = (12+14) ÷ 2 = 13
eg 9c :
Score 1 2 3 4 5 Frequency 4 6 7 1 3
Total frequency = 4+6+7+1+3 = 21 Median = Number of the 11th score
= 3 eg 9d :
Score 1 2 3 4 5 Frequency 4 6 7 0 3
40o 60o
140o
Fried Noodle
Curry Noodle
Fried Rice
Noodle Soup
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Total frequency = 4+6+7+0+3 = 20 Median = Number of the 10th and 11th score
= 2
32 +=
2
5 = 2.5
C Mean – is the arithmetic average of a set of data. Mean = sum of all the values of data total number of data
eg 10a : 5, 2, 6, 3, 4, 6, 5, 2, 3
mean = 9
325643625 ++++++++
= 9
36= 4
eg 10b : Price (RM) 15 20 25 30 35
Frequency 3 4 2 4 3
Mean = 34243
)335())430()225()420()315(
++++×+×+×+×+×
= 16
105120508045 ++++
= 16
400= RM25
Example 1: Day Mon Tue Wed Thu Absentees 10 7 12 13 The frequency table shows the number of absentees on four particular school days. Based on the information given, find a) the day with the highest number
of absentees. Solution a) Thursday b) the day with the lowest number of
absentees. Solution b) Tuesday
Exercise 1: Grade A B C D E Frequency 3 8 14 9 6 The table shows the distribution of grades obtained by 40 students in the PMR. a) How many students obtained
either grade A or grade B? b) If the grade E is the failing grade,
find the number of students who passed.
c) Which grade has the highest
frequency?
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Example 2 :
Number of Tourists to an Island Resort 1999
2000
2001
2002
2003
2004
Represents 2000 tourist The pictogram above shows the number of tourist to an island resort from 1999 to 2004. a) Which year had the highest number of tourist? Solution : a) Year 2004 b) Find the total number of tourist for the two years which had the same
number of tourist. Solution : b) The two years were 2000 and 2002.
Total number of tourists for 2000 and 2002 = 2(10x2000) = 40 000
c) What was the total number of tourists for the six years? Solution : c) Total number of symbols
= 8+10+9+10+4+14 = 55 Total number of tourists = 55 x 2000 = 110 000
d) If each tourist spent an average of RM600 during their stay, calculate the
total amount of money spent by tourist on the island in 2001. Solution : d) Number of tourists in 2001 = 9 x 2000
= 18 000 Amount spent = 18 000 x 600
= RM 10 800 000
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Exercise 2 :
Monday
Tuesday
Wednesday
Thursday
Friday
Represents 60 bowls
The pictogram shows the number of the bowls of noodles sold in a school canteen from Monday to Friday.
a) Which day has the highest sales? b) If the profit from each bowl of noodles sold is RM0.20, find the total profit
for the five days. c) Find the difference in the profits obtained from the sales on Monday and
Friday. Example 3 : Sales Figures of Watches for Five Shops
Shop
Numberofwatches
Sales Figures of Watches for Five Shops
EDCBA
50
100
150
200
250
300
350
400
450
Exercise 3:
13012011010090
Sat
Sales of Ice Cream for Six Days
Value (RM)
Day
Fri
Thurs
Wed
Tue
Mon
80706050403020100
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The vertical bar chart given shows the sales figures of watches for five shops in December. a) What was the difference in
number of watches sold between the shops with the highest and the lowest sales?
Solution : a) Difference = 450 - 175
= 275 watches b) If Shop E had an increase in
sales of 20% the following month, while Shop A sold 30 fewer watches, what was the total sales for the two shops?
Solution : b) Shop E :
120% of 400 = 480 watches Shop A : 250 – 30 = 220 watches Total sales for the two shops = 480 + 220 = 700 watches
c) If the average value of a watch
was RM150, calculate the total value of the watches sold by all five shops in December.
Solution : c) Total number of watches
= 250+ 175+ 450+ 325+ 400 = 1600 watches Total value = 1600 x 150 = RM240 000
The horizontal bar chart above shows the sales of an ice cream vendor for six days.
a) On which day did he sell the
most ice cream? b) How much more did he sell on
Wednesday compare to Monday?
c) Calculate his total sales for six
days. d) If his total profit from his ice
cream sales was 15%, calculate the vendor’s profit on Thursday.
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Example 4 :
Year
Time(sec)
Magesh's Best 400 m Times
200420032002200120001999
59
58
57
56
55
54
53
52
51
50
49
48
47
46
45
The line graph given shows Magesh’s best times for the 400m track event over a period of 6 years. a) From which year onwards did he
run below 55 seconds? Solution : a) From 2001 onwards. b) What was his improvement in
time after 6 years of training? Solution : b) Improvement
= Slowest time – Fastest time = 57.5 – 49
c) What was his percentage
improvement in time from 2002 to 2004?
Solution : Difference in time
= 52 - 49 = 3 seconds
Percentage improvement in time
= 100523 × %
= 5.77%
Exercise 4 :
Year
Number ofemployees
Number of Employees in NewTechCompany from 1999 to 2004
200420032002200120001999
400
350
300
250
200
150
100
50
0
The line graph above shows the number of employees in NewTech Company from 1999 to 2004. a) How many employees were there
in 1999? b) When was there the greatest
increase in the number of employees ?
c) How many more employees were
there in 2004 compared to 2001?
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Example 5 :
milk
chocolatecof f ee
tea
All the Form 3 students took part in a survey on their favourite hot drinks. The results were shown in the pie chart above. a) Which drink was least preferred
by the Form 3 students? Solutions : a) Milk was least preferred by Form
3 students. b) Which was the most popular
drink among the Form 3 students?
Solutions : Tea was the most popular drink among the students. c) How many percent of the
students like hot chocolate? Solutions : b) Percentage of students who like
hot chocolate = 90o
360o X 100% = 25%
Exercise 5 :
Total Car Sales in Malaysia in 2003
Hy undai
Perodua
Proton166.7°
Others56.3°
Given that Perodua cars took up 31
of the nation’s total car sales and Hyundai’s sales was RM21.5 billion. a) Find the angle of the sector for
i) Perodua cars. ii) Hyundai cars.
b) How much was the total car sales
in 2003? c) How much was the sales of
Proton cars in 2003?
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Example 6: Mr Song bought a basket of watermelons with RM150. He sold them according to their quantities as shown in the table below. Price (RM)
1.50 2.00 2.50 3.00
Number of fruits
42 12 x 10
The total sales for all the watermelons was RM207. a) Find the value of x. Solution : a) Total sales = 42 x 1.50 + 12 x
2.00 + x x 2.50 + 10 x 3.00 207 = 117 +2.5x 2.5 x = 207 – 117
x = 90/2.5 = 36
b) Find the mean, mode and
median of the price of the watermelons.
Solution : b) Total number of fruits
= 42+12+36+10 = 100
Mean = fruitsofnumberTotal
collectionTotal
= 100
207RM
= RM 2.07 Mode = RM1.50
Median =
+2
00.200.2
= RM2.00
c) Among the mean, mode and median, which is suitable to be used for representing the price of the watermelons?
Solution : c) Mode is not suitable as there are
58 fruits costing more than RM1.50. Therefore, mean and median are both suitable to be
used for represent the price of the watermelon.
d) Find the mean price of the
remaining watermelons, if Mr Song had only sold 70 fruits with a collection of RM141.
Solution : d) Number of fruit remaining
= 100 -70 = 30 Mean price of the remaining watermelon :
= 30
141207 −
= RM 2.20
Exercise 6 : The table below shows the performance of a group of students in a test. Scores 6 7 8 9 10 Frequency 2 4 x 5 2
a) Given that the modal score is 8
and the mean score is greater than the mode, find the least possible value for x. Hence, find its mean.
. b) If another 6 students joined the
group and the scores obtained are 9, 10, 9, 10, 9, 10 Find the mode, median and mean of the score.
Common Errors
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1. Obtaining information from a pictogram.
Group A
Group B
Represent 50 students
Errors Total numbers of students = 4+6 = 10
Correct Steps Total numbers of students = ( 4+6) x 50 = 10 x 50 = 500
2. Error in determining the mode in a frequency table.
Marks 0 1 2 3 4 Frequency 3 4 3 1 5
Errors The mode is 3. The mode is 5.
Correct Steps The mode is 4.
3. Error in determining the median of a set data. Errors 5, 2, 4, 8, 2, 3, 1 (data not rearrange in order) Median = 8
Correct Steps 1, 2, 2, 3, 4, 5, 8 Median = 3
4. Salary Less than
RM1000 RM1001 to
RM1500 RM1501 to
RM2000 RM2001 to
RM2500 More than RM2500
Frequency 14 118 10 5 4
The frequency table above shows the salaries of the staff in Super Home Products Company. Find the number of staff whose salaries are less than RM2000 per month.
Errors Number of staff whose salaries are less than RM2000 per month = 14 + 118 = 132
Correct Steps Number of staff whose salaries are less than RM2000 per month = 14 + 118 +10 = 142
5. The combined bar chart shows the sales figures for HIQ Bookstore from January to April. Find the total number of non-fiction books sold.
Sales Figures from January to April for HIQ booksto re
Number of books
Month
Apr.
Mar.
Feb.
Jan
140120100806040200
Errors
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Total number of non-fiction books sold = 100 + 130 + 100 + 110 = 440 Correct Steps
Total number of non-fiction books sold = 60 + 80 + 70 + 90 = 300
5. The table shows the distribution of the scores obtained in tossing a dice 30
times. Find the mean score of each toss.
Score 1 2 3 4 5 6 Frequency 5 4 6 8 3 4
Errors
Mean =438645
654321
++++++++++
= 0.7
Correct Steps Mean
=438645
)4(6)3(5)8(4)6(3)4(2)5(1
++++++++++
= 3.4 Extra Exercise 1 Mode : a. 20 g, 50 g, 30 g, 70 g, 50 g, 40 g, 30 g, 60 g, 50 g, 60 g, 50 g, 60 g
Mode = _____ g b. 15 mm, 18 mm, 12 mm, 13 mm, 15mm,
17 mm, 12 mm, 16mm, 15 mm, 13 mm, 14 mm, 15 mm
Mode = ______ mm
c. 4, 5, 6, 2, 1, 4, 6, 7, 5, 6
Mode = d.
Number of matches played 1 2 3 4 5
Frequency
1 4 3 2 3
Mode = _______matches e.
Height ( cm ) 120 121 122 123 124
Frequency 2 9 7 3 4
Mode = cm
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f.
Number Of goals 0 1 2 3 4
Frequency 2 5 4 6 4
Mode = goals
2. Median
a. 4, 2, 5, 4, 7, 2, 1
Median =
b. 9, 2, 7, 1, 8, 9, 0
Median =
c. 2kg, 4kg, 1kg, 5kg, 4kg, 2kg
Median =
d. 30m, 10m, 30m, 10m, 40m
Median =
e.
Number Of goals 0 1 2 3 4
Frequency 1 5 4 4 3 Total frequency = 1 + 5 + 4 + 4 + 3 =
Median = Number of goals of the ___ th Frequency = goals
f.
Grade A B C D E
Numbers of students 6 12 9 8 11
Total frequency = 6 + 12 + 9 + 8 + 11 =
Median =
3. Mean ; a. 21, 30, 25, 27, 31, 34 Mean =
b. 7 ,4 , 6 ,8 ,5 ,7 , 5 Mean =
c. Mass (g) 5 6 7 8 Frequency 5 2 6 7
Mean =
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4. The pictogram in Diagram below shows the number of durians sold by three fruits sellers. Calculate the total number of durians sold by three of them.
Samad Chong Muthu
represents 10 durians 5.
The line graph shows the sale of chocolate cakes in a week. Find the difference between the highest sales and the lowest sales in the week.
6.
0 DayFriThurWedTuesMon
10
20
30
40
50
60
70
The line graph shows the number of cars parked at Jeti Lumut over a period of five days. Each car is charged RM 8 per day. What is the total collection for the five days?
7 2 1 3 4 6 8 8 7 5 4 5 4 3 1 2 1 1 4 2 4
The data shows the scores obtained by 20 pupils in a game.
a) By using the data given, complete the following table. Score 1 2 3 4 5 6 7 8 Frequency b) State the mode
M Days 20 40 60 80
100
Sale of chocolate cakes
0 T W T F S S
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8. The mean of 5, y, 2y, 3y, 12,12, 15, 20 is 11. Find the value of y. 9. Calculate the difference between mean and median of the numbers
5, 11, 20, 23, 15, 9, 3, 18.
10. Find the difference between mode and median of the numbers 4, 3, 5, 9, 9, 9, 3, 7, 9. 11. Given that the mean of 3, 5, 10, 2, x, 15, y is 8, find the value of x+y. 12. The pie chart shows the number of coloured balls in a store.
Calculate the angle of the sector which represents black balls. 13. Diagram below is a line graph which shows the number of residents in a
town from 1997 to 2004. a) During which year did the number of residents increase the most? b) How many residents were there in the town at the beginning of
2001?
c) Calculate the percentage increase of residents during the year 2002.
White
Black
Purple
Green
6
8
12
10
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Questions based on PMR Format 1. The pictogram below shows the number of cars sold by Syarikat Maju
Jaya from year 2004 to 2007.
2004
2005
2006
2007
Represents 50 cars.
a) Number of cars sold in year 2006 = ______________
b) If 200 cars were sold in year 2005, complete the pictogram above. 2. The frequency table below shows the marks obtained by 40 students from
form 3 Budiman in the first round of a mathematics quiz.
Score
1 2 3 4 5 6
Number of students
3 8 5 12 7 5
a) If students who get more than four marks will go on to the next round,
how many students never made to the second round?
b) Calculate the percentage of student that can go to the second round.
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3. The pie chart below shows the favourite colours chosen by a group of car owners.
Sky blue 16
Golden Ye llow 24 Lime Green
8
Tomato Red 12
a) Find the angle of sector for cars with Golden Yellow colour.
b) Calculate the percentage of cars with Tomato Red colour.
4. The bar chart below shows number of books read by form one, form two
and form three students in SMK Sinar Mutiara for the past two months.
English
Sains
Nilam 200835
30
Form
Numberof books
321
25
20
15
10
5
0
a) Base on the bar chart above, complete the table below.
Form 1 2 3 Number of books
b) Find the difference between Science and English books read by all
students.
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5. 21 , 13, 16, 19, 11, 16, 16 Base on the data above, determine: a) the mode
b) the median 6. The bar chart below shows the population of Kampung Selangkah,
Kampung Temai, Kampung Dusun and Kampung Air.
m ale
fe male
Kam pungAir
Kam pungSe langk ah
400
Number of resident
Kam pungDusun
Kam pungTe mai
300
200
100
0
a) Find the total number of male in all the four Kampung.
b) Find the percentage of female to the whole population?
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7.
Class Raden Mayang Bahagia Adil Jujur Iklas
Collection(RM) 200 300 50 250 100 310
Based on the table above, complete the bar charts below.
CLASS
CLASS FUND(RM)
Iklas
0
JujurAdilBahagiaMayangRaden
50
100
150
200
250
300
350
8.
Number of points 10 20 30 40 50 60
Number of students
5 4 7 5 6 3
The frequency table above shows the marks obtained by a group of students in a marching competition.
a) Find the number of students involved in the event. b) Find the mean point from the table.
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9.
2001
2002
2003
2004
2005
Represents 25 computers
a) The pictograph above shows the sale of computers by Syarikat Indah Computer in five years . Complete the pictograph if the number of
computers sold in year 2003 were 100 sets. b) Find the total number of computers sold in five years.
10.
Number of books 1 2 3 4 5 6
Number of students 2 5 8 3 6 7
The frequency table above shows the number of books read by students in
form 3 Bahagia of SMK Pekan under “ PROJEK NILAM”.
a) Find the number of students involved in “PROJEK NILAM”.
b) Determine the mode.
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11. The following data shows the marks obtained by pupils in a mathematic test:
23 27 26 27 22 22 22 23 26 25 24 23 27 27 26 23 22 22 25 25 22 27 26 26 26 25 24 24 23 22
Marks 22 23 24 25 26 27 Frequency
a) Complete the frequency table above based on the data given b) Find the mode 12.
21, 26, 29, 27, 21, 25, 25, 26, 29, 28, 30, 33, 23,29
a) Find the mode b) Find the median 13. The table below shows the marks obtained in an English test.
a) Given that the number of frequency is 50, find the value of X
b) Determine the mode.
Marks
10
20
30
40
50
Frequency
4
X
15
11
7
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14. The Pie chart below shows the subjects most liked by a group of 36 students.
60.0°°°°
130.0°°°°History
Science
Geography
Mathematics
a) Find the number of students who like science .
b) Find the percentage of pupils who like history.
15. The horizontal bar chart below shows the number of vehicles sold by three
companies A, B and C.
0 20 40 60 80
A
B
C
Com
pnay
No. of vehicles
CAR VAN
Number of Vehicles
a). Calculate the number of vehicles sold by companies A and C. b). Calculate the difference between the number of vans sold by companies
B and C.
120.0º
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16. Diagram below is a line graph which shows the number of residents in village X and village Y from 1998 to 2004.
a) In which year the difference in the number of residents between
village X and village Y is 1 500?
b) How many residents are there in village Y in the year 2002?
c) Calculate the percentage increase in the number of residents in village X from 2000 to 2002.
Y
X
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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 6
2 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 1 The information for Bestari class is shown fully in the pictograph in the answer space. 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
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2005
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 12
Table 1 The information for badminton is shown fully in the pie chart in the
answer space. Complete the pie chart to represent all the information in Table 1. [5 marks]
Answer :
90°°°°
Badminton
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2006
4. Table 1 shows the profit made from the sales of nasi lemak at a stall
over 5 days.
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 the information in Table 1. Use the scale 2 cm to RM8 on the vertical axis.
[5 marks]
Answer :
40
32
24
16
8
Fr iThurWe dTueMonDay
Profit (RM)
Diagram 4
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5. Diagram 5 is a pie chart which shows the number of pupils in five group who complete 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 of x. 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
6. Table 1 shows three activities participated by a group of 50 students.
Activities Number of students
Chess 24
Hockey M
Choir 18
Table 1
a) Find the value of M b) Hence , represent all the data by drawing a bar chart in the answer
space. [4 marks]
Answer : a)
Lekiu 12
Tuah 10
Lekir 8
Kasturi 2x
Jebat x
Diagram 5
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b)
28
24
20
16
0
12
ChoirHockeyCheess
8
4
Activ ities
Number of students
7. Diagram 3 shows the scores obtained by 15 Police Cadets in a shooting competition.
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]
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Answer : a)
Score Frequency 1 2 3 4
b) Median =
2008 8. 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 fully in the pie chart in Diagram 15. Complete a) 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)
L
180o
Diagram 15
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CHAPTER 8 : STATISTICS ANSWERS
Exercise 1 a. 11 b. 34 c. Grade C Exercise 2 a. Monday b. RM288 c. RM24 Exercise 3 a. Saturday b. RM 45 c. RM 530 d. RM11.25 Exercise 4 a. 25 b. between 2003 and 2004 c. 275 Exercise 5 ai. 120o aii. 17o b. RM 455.30 c. RM 210.80 Exercise 6. a. x= 6 mean= 8.05 b. mode = 9 median = 9 mean = 8.4 Extra Exercise 1a. 50 1b. 15 1c. 6 1d. 2 1e. 121
1f. 3 2a. 4 2b. 7 2c. 3 2d. 30m 2e. 17, 9 , 2 2f. 46, C 3a. 28 3b. 6 3c. 6.75 4. 120 5. 80 6. RM2000 7a. Score 1 2 3 4 5 6 7 8 Frequency 4 3 2 5 2 1 1 2
7b. 4 8. 4 9. 0 10. 2 11. 21 12. 100o 13a. 1997 and 2000 13b. 28500
13c. 11
19
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Questions based on PMR Format 1. a) 250
b) 4 symbols drawn
9. a) Draw 2 symbols correctly b) 500 computers
2. a) 28 students b) 30%
10. a) 31 b) 3
3. a) 144º b) 20%
11. a) 7, 5 ,3, 4, 6, 5 b) 22
4. a) 45, 35, 45 b) 15
12. a) 29 b) 26.5
5. a) 16 b) 16
13. a) 13 b) 30
6. a) 650 b) 43.48
14. a) 12 students b) 13.9%
7. Draw the bars representing
Mayang, Adil and Jujur correctly
15. a) 200 b) 10
8. a) 30 b) 34
16. a) year 2001 b) 4750 c) 60%
PMR Past Year Questions 1. a)
Marks 1 2 3 4 5 6 Frequency 3 4 2 5 2 4
b) 4 2. Number of books in the reading corners
Aman
Bestari
Cerdas
Represents ___30____ books
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3.
c1
72°°°°
90°°°°48°°°°
150°°°°Hockey
Ping Pong
Hand ball
Badminton
4.
40
32
24
16
8
FriThurWe dTueMonDay
Profit (RM)
Diagram 4
5. a) 2 b) 100o c) Lekiu
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141
141
6. a) 8 6. b)
28
24
20
16
0
12
ChoirHockeyCheess
8
4
Activ ities
Number of students
7. a) Score Frequency
1 6 2 3 3 4 4 2
b) 2 8. a) a)
School Number of gold
medals Angle of sector
K 10 300
L 60 180o
M 20 600
N 30 900
b)
N
M
K
180°°°°60°°°°
90°°°°
30°°°°
L