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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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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