[johor 2013] additional mathematics project work - household expenditure survey

7/23/2019 [JOHOR 2013] Additional Mathematics Project Work - HOUSEHOLD EXPENDITURE SURVEY

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ADDITIONAL MATHEMATICS PROJECT WORK 2013

~ 1 ~ BY TWC @ 2013

SEKOLAH MENENGAH KEBANGSAAN TUNKU PUTRA

BATU PAHAT, JOHOR.

ADDITIONAL MATHEMATICS PROJECT WORK

YEAR 2013

TITLE: HOUSEHOLD EXPENDITURE SURVEY

NAME: TEO WOON CHUN

FORM: 5 BAKTI

I/C NUMBER: 961022-01-XXXX

TEACHER: MISS BOON EE SIANG

(P/S: My project work is 101% done by my own so the content is

maybe not all correct. It is just a tutorial for those who do not

know how to do the project work. Want to believe or not? It

depends on your own. Enjoy reading. )

Updated 29/04/2013

Submission date: 2nd May 2013 (Thursday)




~ 2 ~ BY TWC @ 2013

CONTENTS

No. Content Page Remark

1 Introduction 3

2

PART A FAMILY

MONTHLY

INCOME AND

ITS MONTHLY

ALLOCATION

I Statistical graphs 4 - 5

II Mean and standard deviation 6

III Comments 6

3

PART B FAMILY

MONTHLY

INCOME AND

ITS MONTHLY

ALLOCATION

FROM 5 OF MY

FRIENDS

I Data in table form 7 – 8

II Compare and comment about

finding 8

III

Line graph and bar chart :

Education and recreation for

six families

9

Comments 9

IV

Mean, standard deviation for

education and recreation 10

Comments 10

4

PART C MONTHLY

INCOME:

WEIGHTAGE IN

DEGREE FOR

SIX FAMILIES

IPie chart, bar chart and ratio

form 11 – 12

II Change in monthly income 12

5 FURTHER EXPLOTATION

I

20 Richest And 20 Poorest

Countries In The World And

Their Literal Level

13 – 14

II Conclusion 14

6 Reflection 15




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INTRODUCTION

The Household Expenditure Survey (HES) was the first conducted in the

year 1957/58. Beginning 1993/94 it was carried out at an interval of five

years and the recent survey was undertaken in 2009/2010. The survey is

covered private households in urban and rural areas.

The main objective of HES was to collect information on the level and

pattern of consumption expenditure by households on a comprehensive

range of goods and services. This information served as the basis for

determining the goods and services to be included in the basket of the

Consumer Price Index (CPI). It was also used to represent the expenditure

pattern of households in Malaysia.

However, over the years, demand for data from the survey has

increased and it is now used for several purposes. HES has becomes an

invaluable source of information for government and private sectors,

researchers and university students.




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FAMILY MONTHLY INCOME AND ITS MONTHLY ALLOCATION

PRESENTATION MY FAMILY MONTHLY INCOMEBY USING DIFFERENT STATISTICAL GRAPHS

PIE CHART

Food

44%

Utility

12%

Transportation19%

Education

13%

Recreation6%

Others6%

MonthlyIncome

Number of familymembers

CategoriesAllocation of Income (RM)

Allocation of Income (%)

Food 350 43.75

Utility 100 12.50

800 5 Transportation 150 18.75

Education 100 12.50

Recreation 50 6.25

Others 50 6.25Total 800 100




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BAR CHART

LINE GRAPH

0

5

10

15

20

25

30

35

40

45

50

Food Utility Transportation Education Recreation Others

0

5

10

15

20

25

30

35

40

45

50





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(ii) The mean and standard deviation of allocation of income by using at least two methods.

=∑

N X – allocation of income (not midpoint)

=∑ = _______

∑

COMMENTS:

Which category that your family used up most money? Explain.

Which category that your family used up least money? Explain.

Why there is different answers by using different method? Explain.

(Express your answer in one paragraph not in Q&A form. You are encouraged to write some moral

values in your comments. Your comments must at least three or above.)

Rang

e

Mid

point

(x)

x2

Frequ-

ency (f)

fx f × x2

e.g.

1-100 50.5 2550.25 2 101 5100.5

Standard deviation, σ = ∑

Variance, σ2 =

∑∑ -

Standard deviation, σ =

√

CALCULATE THE MEAN AND

STANDARD DEVIATION BASED ON

YOUR MONTHLY INCOME ON

YOUR OWN.




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FAMILY MONTHLY INCOME AND ITS MONTHLY

ALLOCATION FROM 5 OF MY FRIENDS

5 OF MY FRIENDS’ FAMILY MONTHLY INCOME

FRIEND A – TAN EE PING PAULINE (5 AMANAH)

FRIEND B – TIU YI JING (5 BAKTI)

FRIEND C – LIM LIX MIN (5 BAKTI)

MonthlyIncome




Food 1000 20.00

Utility 1200 24.00


Education 1000 20.00

Recreation 500 10.00

Others 300 6.00

Total 5000 100

MonthlyIncome




Food 600 10.00Utility 700 11.67




Others 800 13.32

Total 6000 100

Monthly

Income

Number of family

members Categories

Allocation of

Income (RM)

Allocation of

Income (%)Food 800 20.00

Utility 500 12.50



Recreation 300 7.50

Others 200 5.00

Total 4000 100




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FRIEND D – TAY JIA JIA (5 BAKTI)

FRIEND E – LEE HUI XIN (5 BAKTI)

COMPARISON ABOUT MY FINDINGS

COMMENTS:Explain which family used up most monthly income in all categories.

Which family used up most allocation of monthly income. Explain why.

Which family used up least allocation of monthly income. Explain why.



MonthlyIncome




Food 300 30.00

Utility 150 15.00


Education 300 30.00


Others 50 5.00

Total 1000 100

MonthlyIncome




Food 400 17.39

Utility 500 21.74


Education 400 17.39

Recreation 100 4.35

Others 300 13.04

Total 2300 100

Family Monthly

Income

Number

of family

members

Categories Allocation of

monthly

income (RM)

Food Utility Transp-

ortation

Educ-

ation

Recrea

-tion

Other

WOON

CHUN800 5 350 100 150 100 50 50 800

PAULINE 5000 7 1000 1200 1000 1000 500 300 5000

YI JING 6000 5 600 700 700 2200 1000 800 6000

LIX MIN 4000 6 800 500 400 1800 300 200 4000

JIA JIA 1000 4 300 150 100 300 100 50 1000

HUI XIN 2300 8 400 500 600 400 100 300 2300




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PRESENTATION OF EDUCATION AND RECREATION CATEGORIES FOR SIX FAMILIES

BAR CHART

LINE GRAPH

COMMENTS:

Which family used up most monthly income in education/recreation category? Explain.

Which family used up least monthly income in education/recreation category? Explain.



0

500

1000

1500

2000

2500

3000

3500

WOON CHUN PAULINE YI JING LIX MIN JIA JIA HUI XIN

Recreation

Education

0

500

1000

1500

2000

2500

WOON

CHUN

PAULINE YI JING LIX MIN JIA JIA HUI XIN

Education

Recreation




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(iv) Mean and standard deviation for education and recreation categories by using at least two methods.

EDUCATION

MEAN

=∑ = N

1-500 250.5

501-1000 750.5

1001-1500 1250.5

1501-2000 1750.5

2001-2500 2250.5

∑ : ∑ x:

=∑ =

∑

STANDARD DEVIATION


Variance, σ2 =

∑∑ -

Standard deviation, σ = √

CALCULATE THE MEAN AND STANDARD DEVIATION

BASED ON YOUR MONTHLY INCOME ON YOUR OWN.

COMMENTS:

Why there is different answers by using different method? Explain.

FamilyCategories

FamilyCategories

Education Recreation Education Recreation

WOON CHUN 100 50 LIX MIN 1800 300

PAULINE 1000 500 JIA JIA 300 100

YI JING 2200 1000 HUI XIN 400 100

RECREATIONMEAN

=∑

N

1-200 100.5

201-400 300.5

401-600 500.5

601-800 700.5

801-1000 900.5

∑ : ∑ x:

=∑ =

∑

STANDARD DEVIATION


Variance, σ2 =∑∑ -

Standard deviation, σ = √




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MONTHLY INCOME: WEIGHTAGE IN DEGREE FOR SIX FAMILIES

(i) Weightage in degrees, for each category based on the monthly income for my family and my five friends.

The weightage of any two families in the form of pie chart, another two families in the form of bar chart and

another two families in ratio form.

PIE CHART

Family

Categories Allocation

of monthly

incomeFood Utility Transportation Education Recreation Others

WOON CHUN 157.5 45 67.5 45 22.5 22.5 360

PAULINE 72 86.4 72 72 36 21.6 360

YI JING 36 42 42 132 60 48 360

LIX MIN 72 45 36 162 27 18 360

JIA JIA 108 54 36 108 36 18 360HUI XIN 62.6 78.3 93.9 62.6 15.7 47.0 360




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BAR CHART

RATIO FORM

The corresponding expected monthly income from the information given for me and my five friends.

0

20

40

60

80

100

120

140

160

180

Food Utility Transportation Education Recreation Other

YI JING

LIX MIN

Family Categories


TAN PAULINE 1000 1200 1000 1000 500 300

3: 4: 3: 3: 2: 1

LEE HUI XIN 400 500 600 400 100 3004: 5: 6: 4: 1: 3

Family

Categories Allocation

of monthly

income

(RM)Food Utility Transportation Education Recreation Others

WOON CHUN 385 105 150 103 49 55 847

PAULINE 1100 1260 1000 1030 490 330 5210

YI JING 660 735 700 2266 980 880 6221

LIX MIN 880 525 400 1854 294 220 4173

JIA JIA 330 157.50 100 309 98 55 1049.50

HUI XIN 440 525 600 412 98 330 2405




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FURTHER EXPLORATION

20 POOREST COUNTRIES IN THE WORLD

Rank Country Name Literacy Level (%)

1 Congo 83.8

2 Liberia 60.8

3 Burundi 67.2

4 Zimbabwe 90.7

5 Eritrea 67.8

6 Central African Republic 56.0

7 Niger 28.7

8 Sierra Leone 35.1

9 Malawi 74.8

10 Togo 60.9

11 Madagascar 64.5

12 Afghanistan 28.1

13 Mozambique 56.1

14 Guinea 41.0

15 Ethiopia 42.7

16 Guinea Bissau 54.2

17 Comoros 74.9

18 Haiti 52.9

19 Uganda 66.8

20 Rwanda 71.1




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FURTHER EXPLORATION

20 RICHEST COUNTRIES IN THE WORLD

Rank Country Name Literacy Level (%)1 United States 99.0

2 China 92.2

3 Japan 99.0

4 Germany 99.0

5 France 99.0

6 United Kingdom 99.0

7 Brazil 88.6

8 Italy 98.4

9 Russia 99.6

10 India 61.0

11 Canada 99.0

12 Australia 99.0

13 Spain 97.7

14 Mexico 86.1

15 South Korea 97.9

16 Indonesia 90.4

17 Turkey 87.4

18 Netherlands 99.0

19 Saudi Arabia 86.6

20 Switzerland 99.0

CONCLUSION:

DO YOUR OWN CONCLUSION ACCORDING TO YOUR FINDINGS.



http://en.wikipedia.org/wiki/United_States

http://en.wikipedia.org/wiki/China

http://en.wikipedia.org/wiki/Japan

http://en.wikipedia.org/wiki/Germany

http://en.wikipedia.org/wiki/France

http://en.wikipedia.org/wiki/United_Kingdom

http://en.wikipedia.org/wiki/Brazil

http://en.wikipedia.org/wiki/Italy

http://en.wikipedia.org/wiki/Russia

http://en.wikipedia.org/wiki/India

http://en.wikipedia.org/wiki/Canada

http://en.wikipedia.org/wiki/Australia

http://en.wikipedia.org/wiki/Spain

http://en.wikipedia.org/wiki/Mexico

http://en.wikipedia.org/wiki/South_Korea

http://en.wikipedia.org/wiki/Indonesia

http://en.wikipedia.org/wiki/Turkey

http://en.wikipedia.org/wiki/Netherlands

http://en.wikipedia.org/wiki/Saudi_Arabia

http://en.wikipedia.org/wiki/Switzerland

http://en.wikipedia.org/wiki/Switzerland

http://en.wikipedia.org/wiki/Saudi_Arabia

http://en.wikipedia.org/wiki/Netherlands

http://en.wikipedia.org/wiki/Turkey

http://en.wikipedia.org/wiki/Indonesia

http://en.wikipedia.org/wiki/South_Korea

http://en.wikipedia.org/wiki/Mexico

http://en.wikipedia.org/wiki/Spain

http://en.wikipedia.org/wiki/Australia

http://en.wikipedia.org/wiki/Canada

http://en.wikipedia.org/wiki/India

http://en.wikipedia.org/wiki/Russia

http://en.wikipedia.org/wiki/Italy

http://en.wikipedia.org/wiki/Brazil

http://en.wikipedia.org/wiki/United_Kingdom

http://en.wikipedia.org/wiki/France

http://en.wikipedia.org/wiki/Germany

http://en.wikipedia.org/wiki/Japan

http://en.wikipedia.org/wiki/China

http://en.wikipedia.org/wiki/United_States




~ 15 ~ BY TWC @ 2013

JUST PUT THE MORAL VALUES WHICH ARE RELATED TO THIS PROJECT WORK

AND APPLY IT BY USING “I-THINK ” MAP.

TWC 2013 @ SMK TUNKU PUTRA.

[johor 2013] additional mathematics project work - household expenditure survey

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