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8/14/2019 ADDITIONAL MATHEMATICS PROJECT WORK (updated 060413).docx
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ADDITIONAL MATHEMATICS PROJECT WORK 2013
~ 0 ~ 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: 961022-01-6613
TEACHER: MISS BOON EE SIANG
Submission date: 2ndMay 2013 (Thursday)
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CONTENTS
No. Content Page Remark
1 Objectives 2
2 Appreciation 3
3 Introduction 4
4
PART AFAMILY
MONTHLY
INCOME AND
ITS MONTHLY
ALLOCATION
I Statistical graphs 5 - 6
IIMean and standard
deviation7
III Comments 7
5
PART BFAMILY
MONTHLY
INCOME AND
ITS MONTHLY
ALLOCATION
FROM 5 OF MYFRIENDS
I Data in table form 8 9
IICompare and comment
about finding9
III
Line graph and bar chart :
Education and recreation
for six families
10
Comments 10
IV
Mean, standard deviationfor education and
recreation
11
Comments 11
6
PART CMONTHLY
INCOME:
WEIGHTAGE IN
DEGREE FOR
SIX FAMILIES
IPie chart, bar chart and
ratio form12 13
II Change in monthly income 13
7FURTHER
EXPLOTATION
I
20 Richest And 20 Poorest
Countries In The World
And Their Literal Level
14 15
II Conclusion 15
8 Reflection 16
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OBJECTIVES
We students taking Additional Mathematics are required to carry out a
project work while we are in Form 5.This year the Curriculum Development
Division, Ministry of Education has prepared four tasks for us. We are to chooseand complete only ONE task based on our area of interest. We have to
complete the project work individually. Upon completion of the Additional
Mathematics Project Work, we are to gain valuable experiences and able to:
Apply and adapt a variety of problem solving strategies to solve routine
and non-routine problems
Experience classroom environments which are challenging, interesting
and meaningful and hence improve their thinking skills.
Experience classroom environments where knowledge and skills are
applied in meaningful ways in solving real-life problems Experience classroom environments where expressing ones mathematical
thinking, reasoning and communication are highly
encouraged and expected
Experience a classroom environment that stimulate and enhances
effective learning.
Acquire effective mathematical communication through oral and writing,
and to use the language of mathematics to express mathematical ideas
correctly and precisely
Enhance acquisition of mathematical knowledge and skills through
problem-solving in ways that increase interest and confidence Prepare ourselves for the demand of our future undertakings and in
workplace
Realize that mathematics is an important and powerful tool in solving real-
life problems and hence develop positive attitude towards mathematics.
Train ourselves not only to be independent learners but also to collaborate,
to cooperate, and to share knowledge in an engaging and healthy
environment
Use technology especially the ICT appropriately and effectively
Train ourselves to appreciate the intrinsic values of mathematics and to
become more creative and innovative Realize the importance and the beauty of mathematics.
We are expected to submit the project work within a monthfrom the first day the
task is being administered to us. Failure to submit the written report will result in us
not receiving certificate.
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APPRECIATION
First of all, I would like to say thank you to my friends, teachers and
parents for giving me their full support in making this project successful.
Not forgotten to my family for providing everything, such as money,
to buy anything that are related to this project work and their advise, which
is the most needed for this project. Internet, books, computers and all that
act as my source to complete this project. They also supported me and
encouraged me to complete this task so that I will not procrastinate during
doing this project work.
Next, I would like to thank my teacher, Miss Boon Ee Siang for
guiding me and my friends throughout this project. We had some difficulties
in doing this task, but she taught us patiently and gave me guidance
throughout the journey until we knew what to do. She tried her best to help
us until we understand what we supposed to do with the project work.
Besides, my friends who were doing the same project as mine and
shared our ideas. They were helpful that when we combined and discussed
together, but however, this task was done individually.
Last but not least, any party which involved either directly or indirect
in completing this project work.
Thank you everyone.
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FAMILY MONTHLY INCOME AND ITS MONTHLY ALLOCATION
Based on the table above,
(i) represent your data using three different statistical graphs.
PIE CHART
Food
44%
Utility
12%
Transportation19%
Education13%
Recreation6%
Others
6%
MonthlyIncome
Number of familymembers
CategoriesAllocation ofIncome (RM)
Allocation ofIncome (%)
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
Food Utility Transportation Education Recreation Others
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(ii) Find the mean and standard deviation of allocation of income by using at least two
methods.
== 800 = 133.33N 6
1-100 4 49.5 198
101-200 1 150.5 150.5
201-300 0 250.5 0
301-400 1 350.5 350.5
:6 x: 699
== 699 = 116.50 6
COMMENTS:
A traditional list of immediate "basic needs" is food (including water), shelter and
clothing. Many modern lists emphasize the minimum level of consumption of 'basic
needs' of not just food, water, and shelter, but also sanitation, education and health care.
The basic needs for every living person in this world are food, house (rental) and
transportation (for travel to gain the income).
According to my monthly income, food took up the largest value of allocation of
income because we need to eat food every day to live while the transportation took up
second largest value of allocation of income because my brother and I go to school
everydayby using the public transport and also using the concept of car pooling, the cost
transportation can be reducing. Moreover, by making use of school facilities and services,
I no need take up many tuition classes. It can help to reduce tuition fees. Lastly, the
recreation took up least value of allocation income because we should save up the
money for useful purpose and not just use it for entertainment only.
Standard deviation, = = = = 298.14
Variance, 2= -
= 6992116.502
6
= 67861.25
Standard deviation, = = = 260.50
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FAMILY MONTHLY INCOME AND ITS MONTHLY
ALLOCATION FROM 5 OF MY FRIENDS
(i) Collect data from 5 of your friends and tabulate your findings.
FRIEND ATAN EE PING PAULINE (5 AMANAH)
FRIEND BTIU YI JING (5 BAKTI)
FRIEND CLIM LIX MIN (5 BAKTI)
MonthlyIncome
Number of familymembers
CategoriesAllocation ofIncome (RM)
Allocation ofIncome (%)
Food 1000 20.00
Utility 1200 24.00
5000 7 Transportation 1000 20.00
Education 1000 20.00
Recreation 500 10.00
Others 300 6.00
Total 5000 100
MonthlyIncome
Number of familymembers
CategoriesAllocation ofIncome (RM)
Allocation ofIncome (%)
Food 600 10.00Utility 700 11.67
6000 5 Transportation 700 11.67
Education 2200 36.67
Recreation 1000 16.67
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
4000 6 Transportation 400 10.00
Education 1800 45.00
Recreation 300 7.50
Others 200 5.00
Total 4000 100
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FRIEND DTAY JIA JIA (5 BAKTI)
FRIEND ELEE HUI XIN (5 BAKTI)
(ii) Compare and comment your findings.
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 1000HUI XIN 2300 8 400 500 600 400 100 300 2300
COMMENTS:
MonthlyIncome
Number of familymembers
CategoriesAllocation ofIncome (RM)
Allocation ofIncome (%)
Food 300 30.00Utility 150 15.00
1000 4 Transportation 100 10.00
Education 300 30.00
Recreation 100 10.00
Others 50 5.00
Total 1000 100
MonthlyIncome Number of familymembers Categories Allocation ofIncome (RM) Allocation ofIncome (%)
Food 400 17.39
Utility 500 21.74
2300 8 Transportation 600 26.09
Education 400 17.39
Recreation 100 4.35
Others 300 13.04
Total 2300 100
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(iii) Draw on the same axes,
(a) Line graph (b) bar chart
to represent education and recreation categories for six families. Hence, give your comments.
BAR CHART
LINE GRAPH
COMMENTS:
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)Find mean and standard deviation for education and recreation categories by using at
least two methods.
EDUCATIONMEAN
== 5800 = 966.67N 6
1-500 3 249.5 748.5
501-1000 1 750.5 750.51001-1500 0 1250.5 0
1501-2000 1 1750.5 1750.5
2001-2500 1 2250.5 2250.5
:6 x: 5500
== 5500 = 916.67 6
STANDARD DEVIATION
Standard deviation, = =
= 2026.63
Variance, 2= -
= 55002916.672
6
= 4201382.778
Standard deviation, = = = 2049.73
COMMENTS:
FamilyCategories Family
Education
Categories
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
== 2050 = 341.67N 6
1-200 3 99.5 298.5
201-400 1 300.5 300.5401-600 1 500.5 500.5
601-800 0 700.5 0
801-1000 1 900.5 900.5
:6 x: 2000
== 2000 = 333.33 6
STANDARD DEVIATION
Standard deviation, = =
= 763.99
Variance, 2=
-
= 20002333.332
6
= 555557.7778
Standard deviation, = = = 745.36
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MONTHLY INCOME: WEIGHTAGE IN DEGREE FOR SIX FAMILIES
(i) Find the weightage in degrees, for each category based on the monthly income foryour family and your family and your five friends.
Hence, represent 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.
BAR CHART
0.00
20.00
40.00
60.00
80.00
100.00
120.00
140.00
160.00
180.00
200.00
Food Utility Transportation Education Recreation Others
YI JING
LIX MIN
FamilyMonthly
Income
Number
of family
members
Categories Allocation
of
monthly
income
(RM)
Food UtilityTransp-
ortation
Educ-
ation
Recrea-
tionOther
WOON
CHUN15.08 51.43 36.52 11.43 18.31 6.21 8.78 10.59 15.08
PAULINE 94.24 72.00 104.35 137.14 122.03 62.07 87.80 63.53 94.24
YI JING 113.09 51.43 62.61 80.00 85.42 136.55 175.61 169.41 113.09
LIX MIN 75.39 61.71 83.48 57.14 48.81 111.72 52.68 42.35 75.39
JIA JIA 18.85 41.14 31.30 17.14 12.20 18.62 17.56 10.59 18.85
HUI XIN 43.35 82.29 41.74 57.14 73.22 24.83 17.56 63.53 43.35
TOTAL 360 360 360 360 360 360 360 360 360
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PIE CHART
Family Categories
Food Utility Transportation Education Recreation Others
TAN PAULINE 1000 1200 1000 1000 500 300
LEE HUI XIN 400 500 600 400 100 300
RATIO FORM 5:2 12:5 5:3 5:2 5:1 1:1
RATIO FORM
(ii) The allocation of monthly income is expected to change next year. Find the
corresponding expected monthly income from the information given for you and yourfive friends.
Food
Utility
Transporta
tion
Education
Recreation
Others
TEO WOON CHUN
Food
Utility
Transportation
Education
Recreation
Others
TAY JIA JIA
Family
Categories Allocation of
monthlyincome (RM)
Food Utility Transpor-tation
Educa-tion
Recrea-tion
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
Rate 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
**Malaysia No. 36 (88.7%)
CONCLUSION:
http://en.wikipedia.org/wiki/United_Stateshttp://en.wikipedia.org/wiki/Chinahttp://en.wikipedia.org/wiki/Japanhttp://en.wikipedia.org/wiki/Germanyhttp://en.wikipedia.org/wiki/Francehttp://en.wikipedia.org/wiki/United_Kingdomhttp://en.wikipedia.org/wiki/Brazilhttp://en.wikipedia.org/wiki/Italyhttp://en.wikipedia.org/wiki/Russiahttp://en.wikipedia.org/wiki/Indiahttp://en.wikipedia.org/wiki/Canadahttp://en.wikipedia.org/wiki/Australiahttp://en.wikipedia.org/wiki/Spainhttp://en.wikipedia.org/wiki/Mexicohttp://en.wikipedia.org/wiki/South_Koreahttp://en.wikipedia.org/wiki/Indonesiahttp://en.wikipedia.org/wiki/Turkeyhttp://en.wikipedia.org/wiki/Netherlandshttp://en.wikipedia.org/wiki/Saudi_Arabiahttp://en.wikipedia.org/wiki/Switzerlandhttp://en.wikipedia.org/wiki/Switzerlandhttp://en.wikipedia.org/wiki/Saudi_Arabiahttp://en.wikipedia.org/wiki/Netherlandshttp://en.wikipedia.org/wiki/Turkeyhttp://en.wikipedia.org/wiki/Indonesiahttp://en.wikipedia.org/wiki/South_Koreahttp://en.wikipedia.org/wiki/Mexicohttp://en.wikipedia.org/wiki/Spainhttp://en.wikipedia.org/wiki/Australiahttp://en.wikipedia.org/wiki/Canadahttp://en.wikipedia.org/wiki/Indiahttp://en.wikipedia.org/wiki/Russiahttp://en.wikipedia.org/wiki/Italyhttp://en.wikipedia.org/wiki/Brazilhttp://en.wikipedia.org/wiki/United_Kingdomhttp://en.wikipedia.org/wiki/Francehttp://en.wikipedia.org/wiki/Germanyhttp://en.wikipedia.org/wiki/Japanhttp://en.wikipedia.org/wiki/Chinahttp://en.wikipedia.org/wiki/United_States8/14/2019 ADDITIONAL MATHEMATICS PROJECT WORK (updated 060413).docx
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Apart from that, this project encourages the students to work together and share their knowledge.
It is also encourage us to collect information from the internet, improving thinking skills and promote
effective mathematical communication. Not only that, I had learned some moral values that I practice.
This project had taught me to responsible on the works that are given to me to be completed. This project
also had made me felt more confidence to do works and not to give up easily when we could not find thesolution for the question. I also learned to be disciplined and punctual, which I was given about a month
to complete this project and I pass it up to my teacher before two weeks. It shows my efficient in
completing the work given. I also enjoy doing this project and it had tighten our friendship. After by
spending countless hours, days and night to finish this project and also sacrificing our time in this two
weeks, I created a poem to express my feelings:
Additional Mathematics,The killer subject,
But when we study hard,
It was so easy to understand.
Additional Mathematics,
You look so interest,
So unique from the other subjects,
Thats why we like you so much.
After sacrificing our precious time,
Spirit and energy for this project,
And now,We realized something important from it!!!
We are getting addicted to it,
Additional Mathematics,
You are our friend,
You are our family,
And you are our life
WE REALLY LOVE ADDITIONALMATHEMATICS!!!
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