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AIRIL AHMAD

Friday, December 19, 2014

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Pictograph

Bar graph

Line graph

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PIE CHART

A pie chart is a graphic

representation of data usingsectors of a circle. The size of

each sector shows the

percentage of the overall data itrepresents.

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Example 1:Table shows the favourite fruit bystudents in 3 Harmoni

Name offruits

Number ofStudents

Strawberry Apple Banana Grape

Sum of fruits that 3 Harmoni students like:

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Favourite Fruits

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Table shows the favourite fruit bystudents in 3 Harmoni

Name of

fruit

Strawberry Apple Banana Grape

Number of

Students

Sum of fruits that 3 Harmoni students like: 36

10 17 7 2

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CALCULATION

STRAWBERRY APPLE

GRAPE BANANA

0360

36

10 036036

17

0100

0360

36

2

0360

36

7 020070

0170

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How to draw the pie chart?`

1000

Strawberry

1700

Apple

700

Banana

200Grape

00

100

200

300

400

500

600700 80

0 900 1000

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Example 2:Table shows the favourite games bystudents in 3 Amanah

Name ofgames

Number ofStudents

Baseball Basketball Bowling Golf

Total of games that 3 Amanah students like:

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Favourite Games

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Example 2:Table shows the favourite games bystudents in 3 Amanah

Name ofgames

Number ofStudents

Baseball Basketball Bowling Golf

Total of games that 3 Amanah students like:

20

8 7 3 2

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CALCULATION

Baseball Basketball

Golf Bowling

0360

20

8 036020

7

0144

0360

20

2

0360

20

3 036054

0126

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Example 3:
http://localhost/var/www/apps/conversion/tmp/scratch_3/warna.xlshttp://localhost/var/www/apps/conversion/tmp/scratch_3/warna.xls

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EXERCISE - ORALLY

PAGE 71

EX 4.1A

1 , 2 , 3 , 4

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EXERCISE

PAGE 73

EX 4.1B

1 and 2 only

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EXERCISE - HOMEWORK

PAGE 75

EX 4.1C

1 and 2

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MODE

BYHJ.AIRIL AHMAD

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WHAT IS MODE???

Mode is the most common factor or value,

with the highest frequency in a set of data.

There are two methods to determine data

mode:

a. Mode for a set datab. Mode for data from a frequency table

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Mode for a set data2 3 8 7 5 3 2 4 6 8

7 4 5 3 5 3 7 8 4 3

Solution:

1.Rearrange the number from the smallest to the biggest

2 2 3 3 3 3 3 4 4 4 5 5 5 6 7 7 7 8 8 8

THEREFORE, 3 IS THE MODE because 3

appears mostly in the set of data

2. Find the most number appears in the set.

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Example 12 8 8 7 5 3 2 4 6 8

7 4 5 3 8 3 7 8 4 8

Solution:

1.Rearrange the number from the smallest to the biggest

2 2 3 3 3 4 4 4 5 5 6 7 7 7 8 8 8 8 8 8

THEREFORE, 8 IS THE MODE because 8

appears mostly in the set of data

2. Find the most number appears in the set.

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Example 230 35 40 55 80 90

90 55 67 90 37 55

Find the mode for the given data

The most common number in the set of data above

is.

55

THEREFORE, 55 and 90 ARE THE MODES because 55 and

90 appear mostly in the set of data

90and

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Example 3

145 155 182 175 188 163

Find the mode for the following data

There is no mode appear in this data.

THEREFORE,

AT TIMES THERE IS MORE THAN ONE MODE IN A SET OFDATA

OR

THERE IS NO MODE AT ALL

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number 1 2 3 4 5 6

frequency 5 1 4 6 1 3

A dice was thrown severals times and the

numbers obtained was recorded as follows:

The most common number is4

Therefore , 4 is the MODE

Mode for data from a frequency table

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Points 10 20 30 40

Number of students 6 13 24 7

The table below shows the points collected

by a group of students in a game. Find the

mode of the point.

The most common number is30

Therefore , 30 is the MODE

Example 1

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WHAT IS MODE???

Mode is the most common fact or value, with

the highest frequency in a set of data.

There are two methods to determine mode:

Mode for a set data

Mode for data from a frequency table

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Exercise

Page 80

Ex.4.2A Number 1 abcd

Number 2ab (give answer only)

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MEDIAN

BYHJ.AIRIL AHMAD

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MEDIAN = MIDDLE

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WHAT IS MEDIAN?

Median is the value in the middle of

the set of data when the data isarranged in numerical order.

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ODD DATA

If the total number of data isodd, then the median is located

in the middle of the set of data

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Example1 : Find the median of10, 8, 7, 9, 6, 5, 7, 7,6

Rearrange

5, 6, 6, 7, 7, 7, 8, 9, 107

Median = 7

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EVEN DATA

If the total number of data iseven, then the median is

average of the two middle

values of the set of data

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Example 2 : Find the median of10, 8, 8, 9, 6, 5, 7, 6, 6, 4

Rearrange

4 ,5, 6, 6, 6, 7, 8, 8, 9, 10

Median = (6+7) 2 = 13 2 = 6.5

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ExerciseFind the median.

1. 12, 6, 3, 10, 2, 7, 6

Rearrange:Median =

2. 42, 34, 68, 57, 83, 67,

49, 57, 45, 73Rearrange:

Median =

3. 4kg, 8kg, 3kg, 8kg,7kg

Rearrange:Median =

4. 18s, 11s, 9s, 16s, 20s,

11s, 19s, 13s

Rearrange:

Median =

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Exercise

Pg 85Ex. 4.2 C

1 abcd & 2

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Number 1 2 3 4 5 6

frequency 5 1 4 3 1 3

a. Odd Data (example 1)

The median is3

Median for data from a frequency table

176 10 1413 17

The middle position is at position 92

117

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Number of pen 1 2 3 4 5

frequency 4 3 8 2 6

a. Odd Data (example 2)

The median is

Median for data from a frequency table

The middle position is at position

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Points 10 20 30 40


The median is 30

b. Even data (example 1)


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Mass (kg) 40 44 46 50


The median is 45

b. Even data (example 2)


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Exercise

Page 85Ex.4.2c

Number 3 ab

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MEAN

BYHJ.AIRIL AHMAD

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WHAT IS MEAN???

Mean is the average of a set of data.

Formula for mean:

Mean or = sum of all the values of the data

total number of datax

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Example 1:

Find the mean of 2 , 5 , 8 , 7 and 12

x Mean = 2 + 5 + 8 + 7 + 125

Mean = 34 = 6.8

5

x

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Example 2: In monthly test ,Ahmad obtains 86%

for BM, 78% for BI, 90% for

Mathematics and 76% for Science.Calculate the mean of the data.

xMean = 86 + 78 + 90 + 764

Mean = 330 = 82.5

4

x

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Exercise: Find the mean:

1. 42, 34, 68, 57, 83, 67, 49, 57, 45

2. 4kg, 8kg, 3kg, 9kg, 7kg, 10kg

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ExercisePg.87

Ex.4.2D

1ab, 2

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ExercisePg.87

Ex.4.2D

1ab, 2 , 5ab, 6abc

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MEAN FROM THEFREQUENCY TABLE

BY

HJ.AIRIL AHMAD

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Number (n) 1 2 3 4 5 6

Frequency (f) 5 1 4 6 1 3

A dice was thrown several times and the numbers obtained was

recorded as follows:

Mean= f x n = 66 = 3.3

f 20

Mean for data from a frequency table

f x n 5 2 12 24 5 18 66

20

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Number (n) 1 2 3 4 5 6

Frequency (f) 6 2 1 5 4 3

Mean= f x n = 71 = 3.38

f 21

f x n 6 4 3 20 20 18 66

21

Example 2

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Points 10 20 30 40


The table below shows the points collected by a group of students in a game.

Find the mode of the point.

Example 1

50

f x n 60 260 720 280 1320

Mean= f x n = 1320 = 26.4

f 50

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ExercisePage 87

Ex.4.2D

Number 3ab & 4

F id D b 19 2014

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MEANPROBLEM SOLVING

BY

HJ.AIRIL AHMAD

F id D b 19 2014

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Example 1 Given the mean of a set of data 2, 4, 5, 8, x,

12 is 7. Find the value ofx.

2 + 4 + 5 + 8 + x + 12 = mean

6

x+ 31 = 76

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x + 31 = 7 x 6

x + 31 = 42

x = 42 - 31

x = 11

x+ 31 = 7

6

F id D b 19 2014

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Example 2 Given the mean of a set of data 1, 2, 4,x+ 3,

7,x, 8, 9 is 5. Find the value ofx.

1+ 2+ 4+x+ 3+ 7+x +8+ 9 = mean

8

2x+ 34 = 58

Frida December 19 2014

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2x+ 34 = 5 x 8

2x+ 34 = 40

2x = 40 - 34

2x = 6

x = 6

2x = 3

2x+ 34 = 58

Friday December 19 2014

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1. The mean of 6, 8, x, 15, 18 and 27 is 14. Find

the value of x.

2. The mean of 10, 15, 20, x, 30, 40 and 48 is28. Find the value of x.

3. The mean of 8, 12, x, 19, 24 and 30 is 18.

Find the value of x.

4. The mean of 4, x, 5, 8 and 9 is 6.4. Find the

value of x.

Exercise

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