Add Maths Folio 2015 (W.P)
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1
SEKOLAH MENENGAH KEBANGSAAN
KUALA LUMPUR
ADDITIONAL MATHEMATICS
PROJECT WORK
TASK 1/2015
HOUSEHOLD EXPENDITURE SURVEY(HES)
NAME :
CLASS : 5 DIAMOND
IC NUMBER :
TEACHER NAME : EN. WONG
Contents
No. Content Page Remark
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1 Introduction
2
PART AFAMILY
MONTHLY INCOME AND ITS MONTHLY ALLOCCATION
I Statistical graphs
II Mean and standard deviation
III Comments
3
PART BFAMILY
MONTHLY INCOME AND ITS MONTHLY ALLOCATION
FORM 5 OF MY FRIENDS
I Data in table form
IICompare and comment about finding
III
Line graph and bar chart:Education and recreation for six families
Comments
IV
Mean, standard deviation for education and recreation
Comments
4
PART CMONTHLY
INCOME WEIGHTAGE IN
DEFREE FOR SIX FAMILIES
IPie chart, bar chart and ratio form
II Change in monthly income
5FURTHER
EXPLOTATION
I20 Richest And 20 Poorest Countries In The World And Their Literal Level
II Conclusion
6 REFLECTION
Introduction
The Household Expenditure Survey (HES) was the first conducted in the year
1957/58. Beginning 1993/94 it was carried out an interval of live years and the
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current survey was undertaken in 2001/9/2010. 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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Part A
Family Monthly Income And Its Monthly Allocation
Monthly
Income
(RM)
Number of
family
members
CategoriesAllocation of
Income (RM)
Allocation of
Income (%)
4000 3
Food 1200 30
Utility 650 16.25
Transportation 600 15
Education 550 13.75
Recreation 500 12.5
Others 500 12.5
Total 4000 100
5
Representation Of My Monthly Income By Using Three Different Statistical Graphs
Pie Chart
30%
16%
15%
14%
12%
12%
Allocation of Income (%)
FoodUtilityTransportationEducationRecreationOthers
6
Bar Graph
Food
Utility
Transp
ortation
Educati
on
Recrati
onOthers
0
200
400
600
800
1000
1200
1400
1200
650600
550 500 500
Allocation of Income(RM)
Allocation of Income(RM)
Utility
Transportation
Education
Recration
Others
Line Graph
Food Utility Transportation Education Recreation Others0
200
400
600
800
1000
1200
1400
1200
650600
550500 500
Allocation of Income(RM)
Column1
7
The Mean And Standard Deviation Of Allocation Of Income
Mean Of Allocation Of Income
Method A
The mean of allocation of income is calculated by using Microsoft Excel,
Method B
The mean of allocation of income is calculated by using following formula,
CategoriesAllocation of
Income (RM)
Food 1200
Utility 650
Transportation 600
Education 550
Recreation 500
Others 500
Mean=666.67
x = ∑ x
N , where
∑ x = Sum of all values of data N = Number of values of dataThus,
Mean = 1200+650+600+550+500+500
6
=4000
6 =666.667
8
Standard Deviation Of Allocation Of Income
Method A
The standard deviation of allocation of income is calculated by using following formula,
σ=√∑ x2
n−(x )2 , where
∑ x2 = Sum of squares of the values of data
n = Number of values of datax = MeanThus,
σ=√ ( 4000 )2
6−(666.67 )2
σ=√ 160000006
−444448.8889
σ=1490.710494
Method B
The standard deviation of allocation of income is calculated by using following formula,
σ=√∑ fx2
∑ f−( x)2 , where
x = Value of dataf = Frequencyx = MeanThus,
σ=√ ( 4000 )2
6−(666.67 )2
σ=√ 160000006
−444448.8889
σ=1490.710494
Comment
My family has spent the most allocation of income on food, which is RM
1200. We believe that healthy lifestyle is sustained by variety of food. So, we have
always buys nutritious food and supplements which have a high cost. Instead, my
family only used up RM500 which is the least money among the other categories on
recreation. We are living in an urban lifestyle that busy of works and studies.
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Part B
Monthly Income And Its Monthly Allocation From Five Of My Friends
FRIEND 1
Monthly Income
(RM)
Number of Family
Members
Categories Allocation of Income (RM)
Allocation of Income (%)
RM 3,000.00 5
Food 750.00 25.00Utility 200.00 6.67
Transportation
500.00 16.67
Education 1,000.00 33.33Recreation 250.00 8.30
Others 300.00 10.00Total 3,000.00 100.00
FRIEND 2
Monthly Income
(RM)
Number of Family
Members
Categories Allocation of Income (RM)
Allocation of Income (%)
RM 8,500.00 6
Food 800.00 9.41Utility 1,000.00 11.76
Transportation
800.00 9.41
Education 2,000.00 23.53Recreation 200.00 2.35
Others 3,700.00 43.5Total 8,500.00 100.00%
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Friend 3
Monthly Income(RM)
Number of Family Member
s
Categories Allocation of Income (RM)
Allocation of Income (%)
RM10,556.15 6
Food 1,000.00 9.47Utility 500.00 4.74
Transportation 500.00 4.74Education 1,000.00 9.47Recreation 500.00 4.74
Others 7,056.15 66.84Total 10,556.15 100.00
FRIEND 4
Monthly Income(RM)
Number of Family Member
s
Categories Allocation of Income (RM)
Allocation of Income (%)
RM 8000.00 4
Food 1,000.00 12.50Utility 800.00 10.00
Transportation 500.00 6.25Education 2,000.00 25.00Recreation 1,500.00 18.75
Others 2,2000.00 27.50Total 8,000.00 100.00
FRIEND 5
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Monthly Income(RM)
Number of Family Member
s
Categories Allocation of Income (RM)
Allocation of Income (%)
RM 12,000.00 5
Food 2,000.00 16.67Utility 1,000.00 8.30
Transportation 1,000.00 8.30Education 3,000.00 25.00Recreation 2,000.00 16.67
Others 3,000.00 25.00Total 12,000.00 100.00
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COMPARISON ABOUT MY FINDINGS
Family Monthly Income
(RM)
Number of
Family Member
s
Categories Allocation of monthly
income (RM)
Food Utility Transportation
Education
Recreatio
n
Others
FRIEND 1 3,000.00
5 750 200 500 1000
250 300 RM3,000.00
FRIEND 2 8,500.00
6 800 1000 800 2000
200 3700 RM8,500.00
FRIEND 3 10,556.15
6 1000
500 500 1000
500 7056.15
RM10,556.15
FRIEND 4 8,000.00
4 1000
800 500 2000
1500 2200 RM8,000.00
FRIEND 5 12,000.00
5 2000
1000 1000 3000
2000 3000 RM12,000.00
Comment
FRIEND 5's family has the highest monthly income which is RM12, 000.00 based on my
findings. FRIEND 1's family has the lowest monthly income which is RM 3000.00 in a month.
As a comparison, FRIEND 5’s family is the richest among the others friends. While the poorest
among the others friends is FRIEND 1.
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RE PRESENTATION OF EDUCATION AND RECREATION CATEGORIES FOR SIX FAMILIES
A)
My Family FRIEND 1's Family
FRIEND 2's Family
FRIEND 3's Family
FRIEND 4's Family
FRIEND 5's Family
0
500
1000
1500
2000
2500
3000
3500
Education and Recreation Categories for Six Families
EducationRecreation
Family
Allo
catio
n of
Inco
me,
RM
B)
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My Family FRIEND 1's Family
FRIEND 2's Family
FRIEND 3's Family
FRIEND 4's Family
FRIEND 5's Family
0
500
1000
1500
2000
2500
3000
3500
Education and Recreation Categories for Six Families
EducationRecreation
Family
Allo
catio
n of
Inco
me,
RM
Comment
FRIEND 5's and FRIEND 2's family spend the most on education
category. Their families are built up by educated people. So, they think that
education has play a very important role in their life.
FRIEND 4's and FRIEND 5's family also spend the most on recreation
category compared to the other families. It is a must for them to enjoy their
lives by travelling during every holiday.
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The Mean And Standard Deviation For Education Category
Mean For Education Category
Method A
The mean for education category is calculated by using Microsoft Excel,
Mean= 1591.667
Method B
The mean of for education category is calculated by using following formula,
x = ∑ x
N , where
∑ x = Sum of all values of data N = Number of values of dataThus,
Mean = 550+1000+2000+1000+2000+3000
6
=9550
6 =1591.667
Family Education CategoryMy Family 550FRIEND 1 1000FRIEND 2 2000FRIEND 3 1000FRIEND 4 2000FRIEND 5 3000
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Standard Deviation For Education Category
Method A
The standard deviation for education category is calculated by using following formula,
σ=√∑ x2
n−(x )2 , where
∑ x2 = Sum of squares of the values of datan = Number of values of datax = MeanThus,
σ=√ ( 9550 )2
6− (1591.667 )2
σ=√ 912025006
−2533403.839
σ=3559.074715
Method B
The standard deviation for education category is calculated by using following formula,
σ=√∑ fx2
∑ f−( x)2 , where
x = Value of dataf = Frequencyx = MeanThus,
σ=√ ( 9550 )2
6− (1591.667 )2
σ=√ 912025006
−2533403.839
σ=3559.074715
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The Mean And Standard Deviation For Recreation Category
Mean For Recreation Category
Method A
The mean for recreation category is calculated by using Microsoft Excel,Family Recreation CategoryMy Family 500FRIEND 1 250FRIEND 2 200FRIEND 3 500FRIEND 4 1500FRIEND 5 2000
Mean=825
Method B
The mean for recreation category is calculated by using following formula,
x = ∑ x
N , where
∑ x = Sum of all values of data N = Number of values of dataThus,
Mean = 500+250+200+500+1500+2000
6
=4950
6 =825
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Standard Deviation For Recreation Category
Method A
The standard deviation for recreation category is calculated by using following formula,
σ=√∑ x2
n−(x )2 , where
∑ x2 = Sum of squares of the values of datan = Number of values of datax = MeanThus,
σ=√ ( 4650 )2
6−(825 )2
σ=√ 216225006
−725904
σ=1709.714889
Method B
The standard deviation for recreation category is calculated by using followingformula,
σ=√∑ fx2
∑ f−( x)2 , where
x = Value of dataf = Frequencyx = MeanThus,
σ=√ ( 4650 )2
6−(825 )2
σ=√ 216225006
−725904
σ=1709.714889
CommentAll of the six families have spent more income on education compared
to recreation. All of them have placed education on the first role so that they can brighten their future.
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Part C
Weightage In Degrees For Each Category Based On The Monthly Income For My Family And Five Of My
Friends
Familiy Categories Allocation of
monthly income in
degree
Food Utility Transportation
Education
Recreation
Others
My Family
108' 58.5' 54' 49.5' 45' 45' 360'
FRIEND 1 90' 24' 60' 120' 30' 36' 360'FRIEND 2 33.8
8'42.35' 33.88' 84.71' 8.47' 156.7' 360'
FRIEND 3 34.1'
17.05' 34.1' 34.1' 17.05' 240.6' 360'
FRIEND 4 45' 36' 22.5' 90' 67.5' 99' 360'FRIEND 5 60' 30' 30' 90' 60' 90' 360'
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Representation Of The Weightage In Degree Of Any Two Families In The Form Of Pie Chart, Another Two Families
in The Form of Bar Chart and Another Two Families in The Ratio Form
The Weightages in Degree of My Family and FRIEND 1’s Family in The Form of Pie Chart
108
58.554
49.5
45
45
Allocation of my family monthly income in degree
FoodUtilityTransportationEducationRecreationOthers
90
24
60120
3036
Allocation of FRIEND 1'smonthly income in degree
FoodUtilityTransportationEducationRecreationOthers
21
The Weightages in Degree of FRIEND 2's Family and FRIEND 3's Family in The Form of Bar Chart
Food
Utility
Transp
ortation
Educati
on
Recrea
tion
Others0
20
40
60
80
100
120
140
160
180
33.8842.35
33.88
84.71
8.47
156.7
0
Allocation of FRIEND 2's monthly income in degree
Allocation of monthly income in degree
Categories
Allo
catio
n of
Mon
thly
Inco
me
in D
egre
e
Food
Utility
Transp
ortation
Educati
on
Recrea
tion
Others0
50
100
150
200
250
300
34.117.05
34.1 34.117.05
240.6
Allocation of FRIEND 3's monthly income in degree
Allocation of monthly income in degree
Categories
Allo
catio
n of
Mon
thly
Inco
me
in D
egre
e
The Weightage in Degree of FRIEND 4's Family and FRIEND 5's
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Family in The Ratio Form.
Family CategoryFood Utility Transport
ationEducatio
nRecreati
onOthers
FRIEND 4 45' 36' 22.5' 90' 67.5 99'10 8 5 20 15 22
FRIEND 5 60' 30' 30' 90' 60' 90'2 1 1 3 2 3
The weightages in degrees of FRIEND 4 in the form of ratio;
45:36:22.5:90:67.5:99
=10:8:5:20:15:22
The weightages in degrees of FRIEND 5 in the form of ratio;
60:30:30:90:60:90
= 2:1:1:3:2:3
The Corresponding Expected Monthly Income From The Information Given For Me And Five Of My
Friends
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Family Categories Alocation of
Income (RM)
Food Utility Transportation
Education
Recreation
Others
My Family
1320
682.5 600 566.5 510 550 4229
FRIEND 1 825 210 500 1030 245 330 3140FRIEND 2 880 1050 800 2060 196 4070 9056FRIEND 3 110
0525 500 1030 480 7761.1
511396.7
7FRIEND 4 110
0840 500 2060 1470 2420 8390
FRIEND 5 2200
1050 1000 3090 2940 3300 13580
Further Explorations
20 Richest Countries And Their Literate Level
24
Name Of 20 Richest Countries According to Ranking
Literate Level. (%)
United States 99.00%Japan 99.00%
Germany 99.00%China 94.00%
United Kingdom 99.00%France 99.00%Italy 98.40%Spain 97.70%
Canada 99.00%Brazil 90.40%India 73.00%
South Korea 97.90%Mexico 86.10%
Russian Federation 99.60%Autralia 99.00%
Netherlands 99.00%Switzerland 99.00%
Poland 99.50%Turkey 95.20%
Sweden 99.00%
25
20 Poorest Countries And Their Literate Level
Name Of 20 Poorest Countries According to Ranking
Literate Level.(%)
Congo 66.80%Liberia 60.80%Burundi 67.20%
Zimbabwe 90.70%Eritea 80.00%
Central African Republic 56.00%Niger 28.70%
Sierra Leone 35.14%Malawi 74.80%Togo 60.90%
Madagascar 64.50%Afghanistan 34.00%Mozambique 56.10%
Guinea 41.00%Ethiopia 42.70%
Guinea Bissau 54.20%Comoros 74.90%
Haiti 61.00%Uganda 66.80%Rwanda 71.10%
26
Conclusion According to my research, the country that has a higher literacy level is
usually richer than the country that has a lower literacy level.
The lists were arranged with 20 Richest and 20 Poorest countries based on
their countries income. Almost all of the top 20 richest country have 90's %
of literacy level. While the 20 Poorest countries have low literacy level which
is between 30's % to 60's % except for several country such as Zimbabwe
and Eritea.
27
Reflection
All knowledge requires a lot of wise and diligent people to expand a certain
principle, so do the Household Expenditure Survey (HES). Humans are created to
complete and correct each other. Concepts in HES help us to understand and
acknowledge our monthly expenditure in daily life. For example, with the help of a
statistical graph, we can easily understand the flow of money clearly. Also, when
conducting this project, I realized that concepts in HES are widely implemented
throughout our lives directly and indirectly as well. Therefore, I think knowledge of
HES is indeed very important. Every person who is given opportunity to learn this
subject should be grateful and make full use of the knowledge by practicing it in
daily lives. However, some people just do no notice the importance of those
concepts, similar to peoples described in Sophie Doomknuckle’s poem, ‘See’.
You can’t see themBut I can
They’re everywhereYour fingers just traced eight of them
Unnoticed by you But not me
I count them every dayEven though
You can’t see them
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Lastly, knowledge in this subject helps us to keep doing a lot of things in our
lives. I my opinion, Matthew Miklavcie’s poem, ‘Invincible’, metaphorically
reflects the importance of this subject.
I stand next to you,Watching and learning
I move things,When you need them moved
I tell you an idea, When you are looking for one
I help you with things,When you need it,
But even this goes unnoticed.