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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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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


1000 2500

Transportation(Petrol/loan/bus fare etc)

180 400

Clothing 125 200

Education 150 325

Recreation 50 150


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


250.00 13.71


222.22 12.18

Clothing 160.00 8.77

Education 216.67 11.88

Recreation 300.00 16.45


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


200

Clothing 110

Education 125

Recreation 105


100

Medication 50

Miscellaneous 80

Total 2770

c)

Item Price indices for the year

2013 based on the year2000

Food 300


1200

Transportation

(Petrol/loan/bus fare etc)

100

Clothing 100

Education 200

Recreation 80


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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