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Sekolah Menengah KebangsaanJalan Mengkibol, Kluang,Johor.
Additional Mathematics ProjectWork Year 2013
2013
NAME: YAP PEIR WEN
CLASS: 5IK
NO IC: 960116-01-6193
TEACHER: PN. NUR HAFIZAH
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O JECTIVE
To aims of carrying out this project work
here are:
1. To apply and adapt a variety of
problem solving strategies to solveproblems.
2. To improve thinking skills
3. To promote effective
mathematical communication4. To develop mathematical
knowledge through problem solving
in a way that increases students
interests.
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INTRODUCTION
The Household Expenditure Survey (HES) was the first
conducted in the year 1957/1958. Beginning 1993/1994,
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. The 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 alsoused 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 ofinformation for government and private section,
researchers and university students.
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0%
5%
10%
15%
20%
25%
30%
35%
40%
45%
50%
Others Recreation Education Transportation Food Utility
Bar Chart
Bar Chart
0%
5%
10%
15%
20%
25%
30%
35%
40%
45%
50%
Others Recreation Education Transportation Food Utility
Line Graph
Line Graph
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(ii) The mean and standard deviation of allocation of income by using at least two methods.
Range Midpoint () Frequency ( 1-100 50.5 2 101 10201
101-200 150.5 3 451.5 203852.25
201-300 250.5 0 0 0301-400 350.5 0 0 0
401-500 450.5 1 450.5 202950.25
Mean
Standard Deviation
Comment
The family distribute monthly income evenly. In special categories such
as food, transportation and education, my father spends much. My
father will not let us stay in hunger and he will always ensure that we
are doing well in tests by buying us reference books. I appreciate his
contribution so much and I love him!
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P RT B
FAMILY MONTHLY INCOME AND ITS MONTHLY ALLOCATION
FROM 5 OF MY FRIENDS
5 OF MY FRIENDS FAMILY MONTHLY INCOME
FRIEND 1- PANG SHIEK HUI (5IK)
Monthly Income
(RM)
Number of
family members
Categories Allocation of
Income (RM)
Allocation of
Income (%)
4000 5
Food 800.00 20.00
Utility 960.00 24.00
Transportation 800.00 20.00
Education 800.00 20.00
Recreation 400.00 10.00
Others 240.00 6.00Total 4000 100
FRIEND 2- SEOW MING HOOI (5IS)
Monthly Income
(RM)
Number of
family members
Categories Allocation of
Income (RM)
Allocation of
Income (%)
3000 6
Food 600.00 20.00
Utility 375.00 12.50
Transportation 300.00 10.00
Education 1350.00 45.00
Recreation 225.00 7.50
Others 150.00 5.00
Total 3000 100
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FRIEND 3- CHYE JUN HENG (5IS)
Monthly Income
(RM)
Number of
family members
Categories Allocation of
Income (RM)
Allocation of
Income (%)
6000 7
Food 1200.00 20.00
Utility 750.00 12.50Transportation 600.00 10.00
Education 2700.00 45.00
Recreation 450.00 7.50
Others 300.00 5.00
Total 6000 100
FRIEND 4- GAN HSIEN YANG (5IK)
Monthly Income
(RM)
Number of
family members
Categories Allocation of
Income (RM)
Allocation of
Income (%)
2000 3
Food 600.00 30.00
Utility 300.00 15.00
Transportation 200.00 10.00
Education 600.00 30.00
Recreation 200.00 10.00
Others 100.00 5.00
Total 2000 100
FRIEND 5- MUGILAN A/L ANANTHAN (5IK)
Monthly Income
(RM)
Number of
family members
Categories Allocation of
Income (RM)
Allocation of
Income (%)
2500 8
Food 434.75 17.39
Utility 543.50 21.74
Transportation 652.25 26.09
Education 434.75 17.39
Recreation 108.75 4.35
Others 326.00 13.04
Total 2500 100
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COMPARISON ABOUT MY FINDINGS
FAMILY MONTHLY
INCOME
(RM)
NUMBER
OF
FAMILY
MEMBERS
CATEGORIES ALLOCATION
OF
MONTHLY
INCOME
(RM)
FOOD UTILITY TRANSPORTATION EDUCATION RECREATION OTHERS
PEIR
WEN
(ME)
1000 5 437.
50
125.
00
187.50 125.00 62.50 62.50 1000
SHIEK
HUI
4000 7 800.
00
960.
00
800.00 800.00 400.00 240.
00
4000
MING
HOOI
3000 5 600.
00
375.
00
300.00 1350.00 225.00 150.
00
3000
JUN
HENG
6000 6 1200
.00
750.
00
600.00 2700.00 450.00 360.
00
6000
HSIENYANG
2000 4 600.00
300.00
200.00 600.00 200.00 100.00
2000
MUGI
LAN
2500 8 434.
75
543.
50
652.25 434.75 108.75 326.
00
2500
Comments:
Jun Hengs family spent most of his allocation of monthly income as hehas a few cars and his father spends a lot in his education for his better
future. Therefore, in order to afford the allocation, Jun Hengs father
works very hard. My fathers pay is not much as him so my family and I
are unable to spend much money on recreation and unnecessary stuffs.
I promise that Ill work hard for now to become a famous engineer in
the future to earn more money for my family!
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Bar Chart
Line Graph
0
500
1000
1500
2000
2500
3000
3500
Peie Wen Shiek Hui Ming Hooi Jun Heng Hsien Yang Mugilan
Education
Recreation
0
500
1000
1500
2000
2500
3000
Peir Wen Shiek Hui Ming Hooi Jun Heng Hsien Yang Mugilan
Recreation
Education
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Comments
All of the families in observe spent much of their income in education
category than in recreation category. This shows that the importance of
education in every family. However, recreation should also be carried
out to prevent excessive pressure among the family members.
iv) Mean and standard deviation or education and recreation categories by using at least two
methods.
Family Education Recreation Family Education Recreation
Peir Wen 125.00 62.50 Jun Heng 2700.00 450.00
Shiek Hui 800.00 400.00 Hsien Yang 600.00 200.00
Ming Hooi 1350.00 225.00 Mugilan 434.75 108.75
Education
Mean
Recreation
Mean
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P RT C
MONTHLY INCOME: WEIGHTAGE IN DEGREE FOR SIX FAMILIES
i) Weightage in degrees, for each category based on the monthly income for my family
and friends.
FAMILY
CATEGORIES ALLOCATION
OF MONTHLY
INCOME (RM)FOODUTILITY TRANSPORTATION EDUCATION RECREATION OTHERS
PEIR
WEN
(ME)
157.5 45.0 67.5 45.0 22.5 22.5 360
SHIEK
HUI
72.0 86.4 72.0 72.0 36.0 21.6 360
MING
HOOI
36.0 42.0 42.0 132.0 60.0 48.0 360
JUN
HENG
72.0 45.0 36.0 162.0 27.0 18.0 360
Hsien
YANG
108.0 54.0 36.0 105.0 36.0 18.0 360
MUGI
LAN
62.6 78.3 93.9 62.6 15.7 47.0 360
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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
157.5
22.522.5
45
67.5
45
PEIR WEN
Food
Others
Recreation
Education
Transportation
Utility
108.5
18.9
36105
36
54
HSIEN YANG
Food
Others
Recreation
Education
Transportation
Utility
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Bar Chart
Family Categories
Food Utility Transportation Education Recreation Others
Shiek Hui 800.00 960.00 800.00 800.00 400.00 240.00
Mugilan 434.75 543.50 652.25 434.75 108.75 326.00
Ratio Form 3200:1739 1920:1087 3200:2609 3200:1739 320:87 2:3
Ratio Form
0
20
40
60
80
100
120
140
160
180
MING HOOI
JUN HENG
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The corresponding expected monthly income from the information given for me and my friends.
FAMILY
CATEGORIES ALLOCATION
OF MONTHLY
INCOME (RM)FOODUTILITY TRANSPORTATION EDUCATION RECREATION OTHERS
PEIR
WEN
(ME)
525.
00
150.00 225.00 150.00 75.00 75.00 1200
SHIEK
HUI
840.00 1008.
00
840.00 840.00 420.00 252.00 4200
MING
HOOI
640.00 400.00 320.00 1400.00 240.00 160.00 3200
JUN
HENG
1240.
00
775.00 620.00 2790.00 465.00 310.00 6200
HSIEN
YANG
660.00 330.00 220.00 660.00 220.00 110.00 2200
MUGI
LAN
469.53 586.98 704.43 469.53 117.45 352.08 2700
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FURTHER EXPLORATION
20 POOREST COUNRIES IN THE WORLD
Rank Country Name Lteracy 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 Exploration20 Richest Country 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
The country which has high literacy level (the people are well educated) generally richer than
country which has low literacy level (the people are less educated). Obviously, education is that
important, as well as additional mathematics too!