Keseluruhan +Math Da Abes!

download Keseluruhan +Math Da Abes!

of 30

Transcript of Keseluruhan +Math Da Abes!

  • 8/9/2019 Keseluruhan +Math Da Abes!

    1/30

    CONTENT

    No Contents Page

    1 Objectives 2

    2 Appreciation 3

    3 Introduction 4-5

    4 Part 1 6-13

    5 Part 2 14-19

    6 Part 3 20-22

    7 Further Exploration 23-28

    8 Conclusion 29

    9 Reflection 30

    10 Rubric for AdditionalMathematics Project Work

    31

    1

  • 8/9/2019 Keseluruhan +Math Da Abes!

    2/30

  • 8/9/2019 Keseluruhan +Math Da Abes!

    3/30

    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 ICTappropriately and effectively

    Realize the importance and the beauty of mathematics.

    APPRECIATION

    Feelings Blessed By THE GOD because give me the

    willingness to perform this project completely. Secondly, I want to

    thanked to my principle Madam Latifah Be Hamdan because give

    me permission to complete this project during school holidays.

    Then, I want to thanked to my Additional Mathematics Teacher,

    Madam Ko Lian Hui because gives me best guidance and support

    to do this Additional Mathematics Project. By the way, I want to

    thanked to my parents because gives me support and

    encouragement to complete this Additional Mathematics project.

    Last but not least, I want to thank to all my friends and everybody

    that helped me in order to complete this Additional Mathematics

    Project because without all of you I cannot done this work

    individually successfully.

    3

  • 8/9/2019 Keseluruhan +Math Da Abes!

    4/30

    INTRODUCTION

    Definition

    An index number is an economic data figure reflecting price orquantity compared with a standard or base value. The base usuallyequals 100 and the index number is usually expressed as 100 timesthe ratio to the base value. For example, if a commodity costs twice asmuch in 1970 as it did in 1960, its index number would be 200 relativeto 1960. Index numbers are used especially to compare businessactivity, the cost of living, and employment. They enable economists toreduce unwieldy business data into easily understood terms.

    In economics, index numbers generally are time seriessummarising movements in a group of related variables. In somecases, however, index numbers may compare geographic areas at apoint in time. An example is a country's purchasing power parity. Thebest-known index number is the consumer price index, whichmeasures changes in retail prices paid by consumers. In addition, acost-of-living index (COLI) is a price index number that measuresrelative cost of living over time. In contrast to a COLI based on the truebut unknown utility function, a superlative index number is an indexnumber that can be calculated. Thus, superlative index numbers are

    4

    http://en.wikipedia.org/wiki/Economic_datahttp://en.wikipedia.org/wiki/Figurehttp://en.wikipedia.org/wiki/Pricehttp://en.wikipedia.org/wiki/Ratiohttp://en.wikipedia.org/wiki/Commodityhttp://en.wikipedia.org/wiki/Cost_of_livinghttp://en.wikipedia.org/wiki/Employmenthttp://en.wikipedia.org/wiki/Economicshttp://en.wikipedia.org/wiki/Time_serieshttp://en.wikipedia.org/wiki/Purchasing_power_parityhttp://en.wikipedia.org/wiki/Consumer_price_indexhttp://en.wikipedia.org/wiki/Retail_pricehttp://en.wikipedia.org/wiki/Cost-of-living_indexhttp://en.wikipedia.org/wiki/Economic_datahttp://en.wikipedia.org/wiki/Figurehttp://en.wikipedia.org/wiki/Pricehttp://en.wikipedia.org/wiki/Ratiohttp://en.wikipedia.org/wiki/Commodityhttp://en.wikipedia.org/wiki/Cost_of_livinghttp://en.wikipedia.org/wiki/Employmenthttp://en.wikipedia.org/wiki/Economicshttp://en.wikipedia.org/wiki/Time_serieshttp://en.wikipedia.org/wiki/Purchasing_power_parityhttp://en.wikipedia.org/wiki/Consumer_price_indexhttp://en.wikipedia.org/wiki/Retail_pricehttp://en.wikipedia.org/wiki/Cost-of-living_index
  • 8/9/2019 Keseluruhan +Math Da Abes!

    5/30

    used to provide a fairly close approximation to the underlying cost-of-living index number in a wide range of circumstances.

    There is a substantial body of economic analysis concerning theconstruction of index numbers, desirable properties of index numbers

    and the relationship between index numbers and economic theory.

    History

    No clear consensus has emerged on who created the first priceindex. The earliest reported research in this area came from WelshmanRice Vaughan who examined price level change in his 1675 book ADiscourse of Coin and Coinage. Vaughan wanted to separate theinflationary impact of the influx of precious metals brought by Spainfrom the New World from the effect due to currency debasement.

    Vaughan compared labor statutes from his own time to similar statutesdating back to Edward III. These statutes set wages for certain tasksand provided a good record of the change in wage levels. Vaughanreasoned that the market for basic labor did not fluctuate much withtime and that a basic laborers salary would probably buy the sameamount of goods in different time periods, so that a laborer's salaryacted as a basket of goods. Vaughan's analysis indicated that pricelevels in England had risen six to eightfold over the preceding century.

    While Vaughan can be considered a forerunner of price indexresearch, his analysis did not actually involve calculating an index. In1707 Englishman William Fleetwood created perhaps the first trueprice index. An Oxford student asked Fleetwood to help show howprices had changed. The student stood to lose his fellowship since afifteenth century stipulation barred students with annual incomes overfive pounds from receiving a fellowship. Fleetwood, who already hadan interest in price change, had collected a large amount of price data

    5

    http://en.wikipedia.org/wiki/Waleshttp://socserv2.socsci.mcmaster.ca/~econ/ugcm/3ll3/vaughan/coinhttp://socserv2.socsci.mcmaster.ca/~econ/ugcm/3ll3/vaughan/coinhttp://socserv2.socsci.mcmaster.ca/~econ/ugcm/3ll3/vaughan/coinhttp://en.wikipedia.org/wiki/Spainhttp://en.wikipedia.org/wiki/New_Worldhttp://en.wikipedia.org/wiki/Debasementhttp://en.wikipedia.org/wiki/Statute_of_Labourers_of_1351http://en.wikipedia.org/wiki/Edward_IIIhttp://en.wikipedia.org/wiki/William_Fleetwoodhttp://en.wikipedia.org/wiki/Waleshttp://socserv2.socsci.mcmaster.ca/~econ/ugcm/3ll3/vaughan/coinhttp://socserv2.socsci.mcmaster.ca/~econ/ugcm/3ll3/vaughan/coinhttp://en.wikipedia.org/wiki/Spainhttp://en.wikipedia.org/wiki/New_Worldhttp://en.wikipedia.org/wiki/Debasementhttp://en.wikipedia.org/wiki/Statute_of_Labourers_of_1351http://en.wikipedia.org/wiki/Edward_IIIhttp://en.wikipedia.org/wiki/William_Fleetwood
  • 8/9/2019 Keseluruhan +Math Da Abes!

    6/30

    going back hundreds of years. Fleetwood proposed an index consistingof averaged price relatives and used his methods to show that thevalue of five pounds had changed greatly over the course of 260 years.He argued on behalf of the Oxford students and published his findingsanonymously in a volume entitled Chronicon Preciosum.

    PART 1The prices of goods sold in shops vary from one shop to another.Shoppers tend to buy goods which are not only reasonably priced butalso give value for their money.You are required to carry out a survey on four different items based onthe following categories i.e. food, detergent and stationery. The surveyshould be done in three different shops.

    Question:a) Collect pictures, newspaper cuttings or photo on

    items that you have chosen. Design a collage toillustrate the chosen items.

    Answer:i) Food=Self-raising flour, sugar, butter, eggs (GRADE A)

    6

  • 8/9/2019 Keseluruhan +Math Da Abes!

    7/30

    ii) Detergent

    7

  • 8/9/2019 Keseluruhan +Math Da Abes!

    8/30

    iii) Stationery

    8

  • 8/9/2019 Keseluruhan +Math Da Abes!

    9/30

    Question:(b) Record the items and their prices systematically as inTable 1.Since items maybe differently packed be sure to useconsistent measurements for each item selected so thatcomparison can be done easily and accurately.

    Answer:

    9

  • 8/9/2019 Keseluruhan +Math Da Abes!

    10/30

    Question:

    c) Create at least two suitable graphical representations(the use of ICT is encouraged) to compare and contrast the

    prices of the items chosen.

    Answer:

    Category Item Price(RM)Econsave Giant

    U MallJusco

    Food1.Self-RaisingFlour (1000g) 4.00 3.70 3.60

    2.Sugar (1000g) 1.75 1.75 1.753.Butter (250g) 3.95 3.99 4.504.Eggs (Grade A)30 eggs

    9.75 9.99 9.50

    Total Price 19.45 19.43 19.35

    Detergent1.Kiwi Clean 6.90 5.49 5.502.SoftlanSoftener3 Litre

    6.29 9.99 6.99

    3.Daia 1 Kg 4.69 5.49 5.504.Breeze LiquidColour 1.8 Kg

    10.30 10.99 10.70

    Total Price 28.18 31.96 28.69Stationery 1.Highlighter

    Faber Castle3.50 3.49 3.70

    2.Staedler WaterColour 13.50 10.00 13.50

    3.Stabilo LiquidPaper

    3.50 3.90 3.90

    4.Faber CastlePencil Tri GripPencil

    7.20 8.00 7.50

    Total Price 27.70 25.39 28.60Grand Total 57.59 53.50 50.3010

  • 8/9/2019 Keseluruhan +Math Da Abes!

    11/30

    11

  • 8/9/2019 Keseluruhan +Math Da Abes!

    12/30

    Question:

    d) Based on the graphical representations that you haveconstucted in PART 1(c), interpret, discuss and drawconclusion. Comments on your findings.

    Answer:

    Based on the graph we could see the small and largedifference among the items. We could see from food price the lowestprice is SUGAR because sugar is now known as controlled goods sothere is no such difference among them and the highest price is EGGSGRADE A. All of us know the difference among eggs and another itemis because the controlled standard to this eggs which caused the priceso high than another food items. Moreover, when we look to detergentthe lower price is DAIA that have quantity about 1 kg and the higherprice is BREZEE LIQUID COLOUR this is because the differencedetergent bring the difference price. On the other hand, the lowestprice among stationery items is highlighter FABER CASTLE and thehighest price among them is STAEDLER water colour, I think it is

    because the standard and quality that given by STAEDLER to users. Allof this can be concludes with the grand total.

    12

  • 8/9/2019 Keseluruhan +Math Da Abes!

    13/30

    Question:

    e) Identify an item that has a large price differenceamong the shops. Calculate the mean and the standarddeviation of that particular item. Hence, suggest and discusspossible reasons for the price difference.

    Answers:

    Softlan Softener 3 Litres

    RM 6.29 + RM 9.99 + RM 6.99 = RM 23.27

    : RM 23.27 3 = RM 7.756

    STANDARD DEVIATION

    = ()/N ( )

    = - (7.756)

    =1.965536

    13

  • 8/9/2019 Keseluruhan +Math Da Abes!

    14/30

    As the conclusion, the large difference amongthe price is higher because the standard of theshop. So, the more standard of the shop, the

    higher the price given to the users. The higherthe price, the higher quality you can get fromthat product.

    14

  • 8/9/2019 Keseluruhan +Math Da Abes!

    15/30

    Part 2Every year SMK Indah organized a carnival to raise funds for theschool. This year the school plans to install air conditioners in the

    school library. Last year, during the carnival, your class made and soldbutter cakes. Because of the popularity of the butter cakes, your classhas decided to carry out the same project for this years carnival.

    Question:(a) Suggest a shop from Part 1 which you would go to

    purchase the ingredients for the butter cakes. State and

    discuss your reasons for purchasing from the shop you

    suggested.

    Answer:

    I choose Jusco because it offers me the lowest total price among the

    food items.

    Question:(b) Complete Table 2 with the prices of the items found in the

    shop/supermarket that you have chosen.

    Answer:

    Ingredient QuantityPer cake

    Price in theyear 2009(RM)

    Price in theyear

    2010(RM)Self-raisingflour

    250g 0.90 0.90

    Sugar 200g 0.35 0.35Butter 250g 3.30 4.50Eggs(GradeA)

    5 eggs 1.25 1.5815

  • 8/9/2019 Keseluruhan +Math Da Abes!

    16/30

    Question:(b)(i) Calculate the price index for each of the ingredients in

    Table 2 for the year 2010 based on the year 2009.

    Answer:

    1. Self-raising flour

    =

    2. Sugar

    =

    3. Butter

    =

    4. Eggs (Grade A)

    Ingredient QuantityPer cake

    Price in theyear

    2009(RM)

    Price in theyear

    2010(RM)

    Price indexfor the year2010 basedon the year

    2009 ()

    Self-raisingflour 250g 0.90 0.90 100

    Sugar 200g 0.35 0.35 102.86Butter 250g 3.30 4.50 136.33Eggs(GradeA)

    5 eggs(300g)

    1.25 1.58 126.4

    16

  • 8/9/2019 Keseluruhan +Math Da Abes!

    17/30

    =

    Question:

    (b)(ii) Calculate the composite index for making a butter cakein the year 2010 based on the year 2009. Discuss how you

    obtained your answers.

    Answer:

    To calculate the composite index, weight age is needed (W),

    Ingredients Weight age (W)Self-raising flour

    Sugar

    Butter

    Eggs(Grade A)

    Composite index

    =117.5745

    17

  • 8/9/2019 Keseluruhan +Math Da Abes!

    18/30

    Question:(b)(iii) In the year 2009, the butter cake was sold at RM15.00each. Suggest a suitable selling price for the butter cake in theyear 2010.Give reasons for your answer.

    Answer:

    On 2009, RM 15.00

    On 2010, price =

    =

    = 17.63

    Thus, the suitable price for the butter cake for the year 2010 isRM17.63.The increase in price is also suitable because of the rise inthe price of the ingredients.

    18

  • 8/9/2019 Keseluruhan +Math Da Abes!

    19/30

    Question:(c)(i) Find out from reliable sources how to determine suitablecapacity of air conditioner to be installed based on thevolume/size of a room.

    Answer:

    For common usage, air conditioner is rated according to horse power(1HP), which is approximately 700W to 1000W of electrical power. It is

    suitable for a room size 1000ft which is around 27m of volume.

    Question:(c)(ii) Work in groups to estimate the volume of your schoollibrary. Explain how you arrive at your answer. Hence,determine the number of air conditioners with the appropriatecapacity required for your library.

    Answer:

    By using a measuring tape, the dimension for thelibrary is:Height: 4.2mWidth = 11.2 mLength= 21.25 mVolume of the room= 4.2 X 11.2 X 21.25

    = 999.6 m

    1 unit of air conditioner is for 27 m

    For 999.6m =

    = 37.02

    That means our school library needs 37 unit of airconditioner.

    19

  • 8/9/2019 Keseluruhan +Math Da Abes!

    20/30

    Question:(c)(iii) If your class intends to sponsor one air conditioner forthe school library, how many butter cakes must your class sellin order to buy the air conditioner?

    Answer:1 unit of 1HP air conditioner = RM700

    Cost for a cake = 0.9 + 0.35 + 4.50 + 1.58 = 7.33

    Selling price = RM17.63

    Profit = 17.63 - 7.33= RM10.30

    Number of cakes to buy 1 unit of air conditioner

    = = 67.96 = 68 cakes

    Part 3

    20

  • 8/9/2019 Keseluruhan +Math Da Abes!

    21/30

    As a committee member for the carnival, you are required to preparean estimated budget to organize this years carnival. The committeehas to take into the consideration the increase in expenditure from the

    previous year due to inflation. The price of food, transportation andtents has increased by 15%. The cost of games, prizes and decorationsremains the same, whereas the cost of miscellaneous items hasincrease by 30%.

    Question:(a) Complete Table 3 based on the information given above.

    Answer:

    Expenditure Amount in 2009(RM)

    Amount in 2010(RM)

    Food 1200.00 1380.00Games 500.00 500.00

    Transportation 300.00 345.00Decorations 200.00 200.00

    Prizes 600.00 600.00Tents 800.00 920.00Miscellaneous 400.00 520.00

    Table 3

    Question:

    21

  • 8/9/2019 Keseluruhan +Math Da Abes!

    22/30

    (b) Calculate the composite index for the estimated budget of

    the carnival in the year 2010 based on the year 2009.

    Comment on your answer.

    Answer:

    Expenditure Amount in

    2009(RM)

    Amount in

    2010(RM)

    PriceIndex, I

    I=

    Weightage,W

    Food 1200.00

    1380.00

    115 12

    Games 500.00 500.00 100 5Transportation

    300.00 345.00 115 3

    Decorations 200.00 200.00 100 2Prizes 600.00 600.00 100 6

    Tents 800.00 920.00 115 8Miscellaneous

    400.00 520.00 130 4

    Composite Index

    =

    =

    = =111.625

    The total price for the year 2010 increase by 11.625%. This is because

    some price in the year 2009 increased in the year 2010.

    22

  • 8/9/2019 Keseluruhan +Math Da Abes!

    23/30

    Question:(c) The change in the composite index for the estimate budget

    for the carnival from the year 2009 to the year 2010 is the

    same as the change from the year 2010 to the year 2011.

    Determine the composite index of the budget for the year

    2011 based on the year 2009.

    Answer:

    Composite index for the year 2009 to the year2010=111.625

    Composite index for the year 2010 to the year2011

    =111.625

    =

    = 111.625 111.625

    124.60

    23

  • 8/9/2019 Keseluruhan +Math Da Abes!

    24/30

    Further Exploration

    Index numbers are being used in many different daily situations, forexample air pollution index, stock market index, gold index andproperty index. Obtain information from the internet or other reliablesources on the importance of two different types of index number ofyour choice. Elaborate the use and the importance of these indexnumbers in daily life.

    Air Pollution Index

    Air pollution is the introduction ofchemicals, particulate

    matter, or biological materials that cause harm or discomfort to

    humans or other living organisms, or damages the natural

    environment into the atmosphere. The atmosphere is a complex

    dynamic natural gaseous system that is essential to support life on

    planet Earth. Stratosphericozone depletion due to air pollution has

    long been recognized as a threat to human health as well as to the

    Earth's ecosystems.

    The Air Quality Index (AQI) (also known as the Air Pollution

    Index (API) or Pollutant Standard Index (PSI) is a number used by

    government agencies to characterize the quality of the air at a given

    location. As the AQI increases, an increasingly large percentage of the

    population is likely to experience increasingly severe adverse health

    effects. To compute the AQI requires an air pollutant concentration

    from a monitor or model. The function used to convert from air

    pollutant concentration to AQI varies by pollutant, and is different in

    different countries. Air quality index values are divided into ranges,and each range is assigned a descriptor and a color code. Standardized

    public health advisories are associated with each AQI range. An agency

    might also encourage members of the public to take public

    transportation or work from home when AQI levels are high.

    24

    http://en.wikipedia.org/wiki/Chemicalhttp://en.wikipedia.org/wiki/Particulate_matterhttp://en.wikipedia.org/wiki/Particulate_matterhttp://en.wikipedia.org/wiki/Biological_materialhttp://en.wikipedia.org/wiki/Natural_environmenthttp://en.wikipedia.org/wiki/Natural_environmenthttp://en.wikipedia.org/wiki/Earth's_atmospherehttp://en.wikipedia.org/wiki/Earthhttp://en.wikipedia.org/wiki/Stratospherehttp://en.wikipedia.org/wiki/Ozone_depletionhttp://en.wikipedia.org/wiki/Ecosystemshttp://en.wikipedia.org/wiki/Chemicalhttp://en.wikipedia.org/wiki/Particulate_matterhttp://en.wikipedia.org/wiki/Particulate_matterhttp://en.wikipedia.org/wiki/Biological_materialhttp://en.wikipedia.org/wiki/Natural_environmenthttp://en.wikipedia.org/wiki/Natural_environmenthttp://en.wikipedia.org/wiki/Earth's_atmospherehttp://en.wikipedia.org/wiki/Earthhttp://en.wikipedia.org/wiki/Stratospherehttp://en.wikipedia.org/wiki/Ozone_depletionhttp://en.wikipedia.org/wiki/Ecosystems
  • 8/9/2019 Keseluruhan +Math Da Abes!

    25/30

    Limitations of the AQI

    Most air contaminants do not have an associated AQI. Many countries

    monitor ground-level ozone, particulates, sulphur dioxide, carbon

    monoxide and nitrogen dioxide and calculate air quality indices for

    these pollutants.

    Causes of Poor Air Quality

    The AQI can worsen (go up) due to lack of dilution of air emissions by

    fresh air. Stagnant air, often caused by an anticyclone or temperature

    inversion, or other lack ofwinds lets air pollution remain in a local area.

    Indices by Location

    South Korea

    The Ministry of Environment of South Korea uses the

    Comprehensive Air-quality Index (CAI) to describe the ambient air

    quality based on health risk of air pollution. The index aims to help the

    public easily understand air quality level and protect the health of

    people from air pollution. - The CAI has values of 0 through 500, which

    are divided into six categories. The higher the CAI value, the greater

    the level of air pollution. - Of values of the five air pollutants, thehighest is the CAI value.

    25

    http://en.wikipedia.org/wiki/Ground-level_ozonehttp://en.wikipedia.org/wiki/Particulatehttp://en.wikipedia.org/wiki/Sulfur_dioxidehttp://en.wikipedia.org/wiki/Anticyclonehttp://en.wikipedia.org/wiki/Temperature_inversionhttp://en.wikipedia.org/wiki/Temperature_inversionhttp://en.wikipedia.org/wiki/Windhttp://en.wikipedia.org/wiki/Air_pollutionhttp://en.wikipedia.org/wiki/Ground-level_ozonehttp://en.wikipedia.org/wiki/Particulatehttp://en.wikipedia.org/wiki/Sulfur_dioxidehttp://en.wikipedia.org/wiki/Anticyclonehttp://en.wikipedia.org/wiki/Temperature_inversionhttp://en.wikipedia.org/wiki/Temperature_inversionhttp://en.wikipedia.org/wiki/Windhttp://en.wikipedia.org/wiki/Air_pollution
  • 8/9/2019 Keseluruhan +Math Da Abes!

    26/30

    Description Health Implications

    Good

    A level that will not impactpatients suffering from

    diseases related to airpollution.

    51-100

    ModerateA level which may have a

    meager impact on patients incase of chronic exposure.

    101-

    150

    Unhealthy forsensitivegroups

    A level that may have harmfulimpacts on patients and

    members of sensitive groups.

    151-250

    Unhealthy

    A level that may have harmfulimpacts on patients and

    members of sensitive groups(children, aged or weak

    people), and also cause thegeneral public unpleasant

    feelings.

    26

  • 8/9/2019 Keseluruhan +Math Da Abes!

    27/30

    251-350

    Veryunhealthy

    A level which may have aserious impact on patients andmembers of sensitive groups in

    case of acute exposure.

    351-500

    Hazardous

    A level which may need totake emergency measures for

    patients and members ofsensitive groups and have

    harmful impacts on the generalpublic.

    Malaysia

    The air quality in Malaysia is reported as the API or Air Pollution

    Index. Four of the index's pollutant components (i.e., carbon monoxide,

    ozone, nitrogen dioxide and sulfur dioxide) are reported

    in PM10 particulate matter is reported in g/m.

    Unlike the American AQI, the index number can exceed 500.

    Above 500, a state of emergency is declared in the reporting area.

    Usually, this means that non-essential government services are

    suspended, and all ports in the affected area closed. There may also be

    a prohibition on private sector commercial and industrial activities in

    the reporting area excluding the food sector. A comparison of three

    major U.S. stock indices: the NASDAQ Composite, Dow Jones Industrial

    Average, and S&P 500. All three have the same height at March 2007.

    Notice the large dot-com spike on the NASDAQ, a result of the large

    number of tech. companies on that index.

    27

    http://en.wikipedia.org/wiki/Malaysiahttp://en.wikipedia.org/wiki/Particulatehttp://en.wikipedia.org/wiki/Particulatehttp://en.wikipedia.org/wiki/State_of_emergencyhttp://en.wikipedia.org/wiki/Nasdaq_Compositehttp://en.wikipedia.org/wiki/Dow_Jones_Industrial_Averagehttp://en.wikipedia.org/wiki/Dow_Jones_Industrial_Averagehttp://en.wikipedia.org/wiki/S%26P_500http://en.wikipedia.org/wiki/Dot-com_bubblehttp://en.wikipedia.org/wiki/Malaysiahttp://en.wikipedia.org/wiki/Particulatehttp://en.wikipedia.org/wiki/State_of_emergencyhttp://en.wikipedia.org/wiki/Nasdaq_Compositehttp://en.wikipedia.org/wiki/Dow_Jones_Industrial_Averagehttp://en.wikipedia.org/wiki/Dow_Jones_Industrial_Averagehttp://en.wikipedia.org/wiki/S%26P_500http://en.wikipedia.org/wiki/Dot-com_bubble
  • 8/9/2019 Keseluruhan +Math Da Abes!

    28/30

    A stock market index is a method of measuring a section of

    the stock market. Many indices are cited by news or financial services

    firms and are used as benchmarks, to measure the performance

    ofportfolios such as mutual funds.

    Types of Indices

    Stock market indices may be classed in many ways. A 'world' or

    'global' stock market index includes (typically large) companies

    without regard for where they are domiciled or traded. Two examplesare MSCI World and S&P Global 100.

    A national index represents the performance of the stock market

    of a given nationand by proxy, reflects investor sentiment on the

    state of its economy. The most regularly quoted market indices are

    national indices composed of the stocks of large companies listed on a

    nation's largest stock exchanges, such as the American S&P 500, the

    Japanese Nikkei 225, and the British FTSE 100.

    The concept may be extended well beyond an exchange. The

    Dow Jones Total Stock Market Index, as its name implies, represents

    the stocks of nearly every publicly traded company in the United

    States, including all U.S. stocks traded on the New York Stock

    Exchange (but not ADRs) and most traded on

    the NASDAQ and American Stock Exchange. Russell Investment

    Group added to the family of indices by launching the Russell Global

    Index.

    More specialized indices exist tracking the performance of

    specific sectors of the market. The Morgan Stanley Biotech Index, for

    example, consists of 36 American firms in the biotechnology industry.

    Other indices may track companies of a certain size, a certain type of

    28

    http://en.wikipedia.org/wiki/Stock_markethttp://en.wikipedia.org/wiki/Benchmarkinghttp://en.wikipedia.org/wiki/Portfolio_(finance)http://en.wikipedia.org/wiki/Mutual_fundhttp://en.wikipedia.org/wiki/MSCI_Worldhttp://en.wikipedia.org/wiki/S%26P_Global_100http://en.wikipedia.org/wiki/S%26P_500http://en.wikipedia.org/wiki/Nikkei_225http://en.wikipedia.org/wiki/FTSE_100http://en.wikipedia.org/wiki/United_Stateshttp://en.wikipedia.org/wiki/United_Stateshttp://en.wikipedia.org/wiki/New_York_Stock_Exchangehttp://en.wikipedia.org/wiki/New_York_Stock_Exchangehttp://en.wikipedia.org/wiki/American_Depositary_Receipthttp://en.wikipedia.org/wiki/NASDAQhttp://en.wikipedia.org/wiki/American_Stock_Exchangehttp://en.wikipedia.org/wiki/Russell_Investment_Grouphttp://en.wikipedia.org/wiki/Russell_Investment_Grouphttp://www.russell.com/indexes/characteristics_fact_sheets/global/russell_global_index.asphttp://www.russell.com/indexes/characteristics_fact_sheets/global/russell_global_index.asphttp://en.wikipedia.org/w/index.php?title=Morgan_Stanley_Biotech_Index&action=edit&redlink=1http://en.wikipedia.org/wiki/United_Stateshttp://en.wikipedia.org/wiki/Biotechnologyhttp://en.wikipedia.org/wiki/Stock_markethttp://en.wikipedia.org/wiki/Benchmarkinghttp://en.wikipedia.org/wiki/Portfolio_(finance)http://en.wikipedia.org/wiki/Mutual_fundhttp://en.wikipedia.org/wiki/MSCI_Worldhttp://en.wikipedia.org/wiki/S%26P_Global_100http://en.wikipedia.org/wiki/S%26P_500http://en.wikipedia.org/wiki/Nikkei_225http://en.wikipedia.org/wiki/FTSE_100http://en.wikipedia.org/wiki/United_Stateshttp://en.wikipedia.org/wiki/United_Stateshttp://en.wikipedia.org/wiki/New_York_Stock_Exchangehttp://en.wikipedia.org/wiki/New_York_Stock_Exchangehttp://en.wikipedia.org/wiki/American_Depositary_Receipthttp://en.wikipedia.org/wiki/NASDAQhttp://en.wikipedia.org/wiki/American_Stock_Exchangehttp://en.wikipedia.org/wiki/Russell_Investment_Grouphttp://en.wikipedia.org/wiki/Russell_Investment_Grouphttp://www.russell.com/indexes/characteristics_fact_sheets/global/russell_global_index.asphttp://www.russell.com/indexes/characteristics_fact_sheets/global/russell_global_index.asphttp://en.wikipedia.org/w/index.php?title=Morgan_Stanley_Biotech_Index&action=edit&redlink=1http://en.wikipedia.org/wiki/United_Stateshttp://en.wikipedia.org/wiki/Biotechnology
  • 8/9/2019 Keseluruhan +Math Da Abes!

    29/30

    management, or even more specialized criteria one index published

    by Linux Weekly News tracks stocks of companies that sell products

    and services based on the Linux operating environment.

    Index Versions

    Some indices, such as the S&P 500, have multiple

    versions. These versions can differ based on how the index

    components are weighted and on how dividends are accounted for. For

    example, there are three versions of the S&P 500 index: price return,

    which only considers the price of the components, total return, whichaccounts for dividend reinvestment, and net total return, which

    accounts for dividend reinvestment after the deduction of a

    withholding tax. As another example, the Wilshire 4500 and Wilshire

    5000 indices have five versions each: full capitalization total return, full

    capitalization price, float-adjusted total return, float-adjusted price, and

    equal weight. The difference between the full capitalization, float-

    adjusted, and equal weight versions is in how index components are

    weighted.

    Uses and Importance of Air pollutionIndex and Stock Market Index

    As everyone can see, the air pollution index is use by thegovernment to measure the air quality index and to detect anypollutants in our countrys air. This is to ensure the air is clean and safe

    for us to inhale. Besides that, an early warning can be given to us if theair pollution is to high for us to get out of our homes. This warning isgiven based upon readings and interpretations of the air pollutionindex.

    As for the stock market index, it is mainly for the businessentrepreneurs. This type of index is used to determine the outcome ofa stock market and also the conclusion of a stock market. The stock

    29

    http://en.wikipedia.org/wiki/Linux_Weekly_Newshttp://en.wikipedia.org/wiki/Linuxhttp://en.wikipedia.org/wiki/S%26P_500http://en.wikipedia.org/wiki/Weight_functionhttp://en.wikipedia.org/wiki/Dividendhttp://en.wikipedia.org/wiki/S%26P_500http://en.wikipedia.org/wiki/Wilshire_4500http://en.wikipedia.org/wiki/Wilshire_5000http://en.wikipedia.org/wiki/Wilshire_5000http://en.wikipedia.org/wiki/Linux_Weekly_Newshttp://en.wikipedia.org/wiki/Linuxhttp://en.wikipedia.org/wiki/S%26P_500http://en.wikipedia.org/wiki/Weight_functionhttp://en.wikipedia.org/wiki/Dividendhttp://en.wikipedia.org/wiki/S%26P_500http://en.wikipedia.org/wiki/Wilshire_4500http://en.wikipedia.org/wiki/Wilshire_5000http://en.wikipedia.org/wiki/Wilshire_5000
  • 8/9/2019 Keseluruhan +Math Da Abes!

    30/30

    market index is important because a countrys economical statesometimes depend on it.

    ConclusionAfter doing research, answering

    questions, drawing graphs and someproblem solving, I saw that the usageof statistics is important in daily life. Itis not just widely used in markets but

    also in interpreting the condition ofthe surrounding like the air or thewater. Especially in conducting an air-pollution survey. In conclusion,statistics is a daily life necessary.Without it, surveys cant be

    conducted, the stock market cant beinterpret and many more. So, weshould be thankful of the people whocontribute in the idea of statistics.