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ADDITIONAL MATHEMATICS PROJECT 2013
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NAME : Arvin Raaj A/L Parthipan
CLASS : 5 AKTIF
SUBJECT : ADDITIONAL MATHEMATICS
TEACHER : MS NG WAN KEE
ADDITIONAL MATHEMATICS
PROJECT WORK
2013
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ADDITIONAL MATHEMATICS PROJECT 2013
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FOREWORD
APPRECIATION
PART 1
PART 2
PART 3
PART 4
REFELECTION
FOREWORD
CONTENTS
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anything that are related to this project work and their advise, which is the most needed for
this project such aspects like Internet, books, computers, and etc.
They also supported me and encouraged me to complete this task so that I will not
procrastinate in doing it. Then I would like to thank my teacher ,Ms Ng Wan Kee for guiding
me and my friends throughout this project.
We had some difficulties in doing this task, but she taught us patiently until we knew
what to do. She tried and tried to teach us until we understand what we supposed to do with
the project work.
Last but not least, my friends who were doing this project with me and sharing our
ideas. They were helpful that when we combined and discussed together, we had this task
done.
HISTORY OF
INDEX NUMBERPrice index:
INTRODUCTION
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A price index(plural: price indices or price indexes) is a normalized average (typically a
weightedaverage) of prices for a given class of goods or services in a given region, during a
given interval of time. It is a statistic designed to help to compare how these prices, taken as a
whole, differ between time periods or geographical locations. Price indices have several
potential uses. For particularly broad indices, the index can be said to measure the economy'sprice level or a cost of living. More narrow price indices can help producers with business
plans and pricing. Sometimes, they can be useful in helping to guide investment.
HISTORY OF EARLY PRICE INDEX
No clear consensus has emerged on who created the first price index. The earliest reported
research in this area came from Welshman Rice Vaughan who examined price level change. Vaughan compared labor statutes from his own time to similar statutes dating back to
Edward III. These statutes set wages for certain tasks and provided a good record of the
change in wage levels.
Vaughan reasoned that the market for basic labor did not fluctuate much with time and that abasic laborers salary would probably buy the same amount of goods in different time periods,
so that a labourers salary acted as a basket of goods. Vaughan's analysis indicated that price
levels in England had risen six to eightfold over the preceding century.
While Vaughan can be considered a forerunner of price index research, his analysis did not
actually involve calculating an index. In 1707 Englishman William Fleetwood created
perhaps the first true price index.
An Oxford student asked Fleetwood to help show how prices had changed. The student stood
to lose his fellowship since a fifteenth century stipulation barred students with annual
incomes over five pounds from receiving a fellowship.
PART 1
A) Describe in brief:
i)Price index
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An index number expressing the level of a group of commodity prices relative tothe level of the prices of the same commodities during an arbitrarily chosen baseperiod and used to indicate changes in the level of prices from one period toanother
ii)Weightage
The assignment of a quota (as of members of a legislature) to a particularsegment of the population as a special favour or concession in a proportion abovethat allowable on a strictly numerical basis
iii)Composite index A composite index is a number that measure an average relative changes in a
group of relative variables with respect to a base.
B) Four ways of weightage representations: Graphs Bar chart Pie chart
Line graph
Examples:
PART 2(a)
Item Average monthly Percentage of monthly
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expenditure for the year2013
(to the nearest RM)
expenses(to nearest %)
Food 800 16.58
Accommodation(rental & loan)
2500 51.81
Transportation
(Petrol/loan/bus fare etc)
400 8.29
Clothing 200 4.15
Education 325 6.74
Recreation 150 3.11
Utilities(water/electricity/telephone)
200 4.15
Medication 100 2.07
Miscellaneous 150 3.11
Total 4825 100
Item Average monthly expensesfor the year 2000
Average monthly expensesfor the year 2013
(RM)
Food 400 800
Accommodation(rental & loan)
1000 2500
Transportation(Petrol/loan/bus fare etc)
180 400
Clothing 125 200
Education 150 325
Recreation 50 150
Utilities(water/electricity/telephone)
100 200
Medication 80 100
Miscellaneous 100 150
Total 2185 4825
Item Price indices for the year2013 based on the year
Weightage
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2000
Food 200.00 10.97
Accommodation(rental & loan)
250.00 13.71
Transportation(Petrol/loan/bus fare etc)
222.22 12.18
Clothing 160.00 8.77
Education 216.67 11.88
Recreation 300.00 16.45
Utilities(water/electricity/telephone)
200.00 10.97
Medication 125.00 6.85
Miscellaneous 150.00 8.22
Total 1823.89 100
d) Conclusion : I hereby conclude that the average monthly expenditure of my
family is not that good because the data shows that the amount of money wasted by my
family is quite high. So based on this data, I can avoid myself to be a spendthrift.
PART 3:
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Brand Size oftelevision
(inches)
Price(RM)
Mean price(RM)
StandardDeviation
(RM)Giant HLK Prolink
Electronics
PanasonicVierra
24 688.00 678.00 700.00 688.66 9.49
32 899.00 900.00 910.58 903.19 5.79
40 1399.00 1400.00 1420.00 1406.33 10.15
Samsung 24 519.00 525.00 600.00 548.00 36.85
32 799.00 850.00 880.00 843.00 33.44
40 1799.00 1825.00 1850.00 1824.66 21.40
Brand Size oftelevision
(inches)
Price(RM)
Per month
Mean price(RM)
StandardDeviation
(RM)Giant HLK Prolink
Electronics
Panasonic
Vierra
24 1038.00 1030.00 1050.00 1039.33 8.63
32 1200.00 1400.00 1450.00 1350.00 108.01
40 1520.00 1530.00 1540.00 1530.00 8.16
Samsung 24 580.00 600.00 625.00 601.67 18.30
32 850.00 900.00 920.00 890.00 29.44
40 1900.00 1950.00 1970.00 1940.00 29.44
b) The television that I had choose is the Panasonic Vierra( 40 inch). It is because it is
cheap than the other Samsung television. Not only that, the screening quality of this
television is quite good. Based on the view, the television has a HD quality screening and
also internal boosting speakers. Last but not least, this television has a slim and
elegance look than the other television. Im very sure that this television is the slimmest
television in the market.
c) I think Giant should deserve the award because based on the value of mean and also
the value of standard deviation it is quite considerate. Not only is that, based on the
current economics the people in the world craving for quality items in a cheap price. So,Giant has provide a sale of quality products in a cheap and reasonable price. As the
panel of the award, Giant is the suitable and the deserved winner.
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PART 4:
a) The item that should be reduced to bear the expense of the new television is thefood aspect. It is because based on the table food is in a higher value amount.
b)
Item Price indices for the year
2013 based on the year2000
Food 500
Accommodation
(rental & loan)
1500
Transportation(Petrol/loan/bus fare etc)
200
Clothing 110
Education 125
Recreation 105
Utilities(water/electricity/telephone)
100
Medication 50
Miscellaneous 80
Total 2770
c)
Item Price indices for the year
2013 based on the year2000
Food 300
Accommodation(rental & loan)
1200
Transportation
(Petrol/loan/bus fare etc)
100
Clothing 100
Education 200
Recreation 80
Utilities(water/electricity/telephone)
180
Medication 30
Miscellaneous 20
Contributions 130
Savings 160
Total 2500
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After spending countless hours, days, and night to finish this project and also sacrificingmy time on video games and magazine in this month, there are several things that I can
say
Additional maths..
Youre like a very bright star
Smiling at me
Every time teacher teaches me about you..
Additional maths
Who says you so difficult?
Who says you kill them off
Who says you hurt parents felling?
You, open my eyes..
Telling me little by little about The Knower of All
Know, I feel so grateful
That He has given me the chance to get to know you
Additional maths
I love you so much
Please dont get away from me..
REFLECTION
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Further research
Definition of 'Inflation'The rate at which the general level of prices for goods and services is
rising, and, subsequently, purchasing power is falling. Central banks
attempt to stop severe inflation, along with severe deflation, in an
attempt to keep the excessive growth of prices to a minimum.
MALAYSIA INFLATION RATE
The inflation rate in Malaysia was recorded at 1.70 percent in April of 2013. InflationRate in Malaysia is reported by the Department of Statistics Malaysia. Historically,from 1973 until 2013, Malaysia Inflation Rate averaged 3.74 Percent reaching an alltime high of 23.90 Percent in March of 1974 and a record low of -2.40 Percent in Julyof 2009. In Malaysia, the most important categories in the consumer price index areFood and non-alcoholic beverages (30 percent of total weight) and Housing, water,electricity, gas and other fuels (23 percent of total weight). Others include: Transport(15 percent); Communication (6 percent); Recreation and culture (5 percent) andFurnishings, household equipment and routine household maintenance (4 percent).The remaining components are Restaurants and hotels at 3.2 percent and
miscellaneous goods and services at 6.3 percent. This page includes a chart withhistorical data for Malaysia Inflation Rate.
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