3Penghargaan Pertama sekali, saya ingin merakamkan setinggi-tinggi penghargaan dan mengucapkan terima kasih kepada kedua-dua ibu bapa yang saya hormati selama-lamanya. Mereka sentiasa memberi dorongan,sokongan,galakan dan tunjuk ajar sepanjang saya melakukan kerja kursus in sehinggalah selesai. Di samping itu,penghargaan juga diberikan kepada kepada guru matamatik tambahan saya iaitu Puan roaimah kerana dia memberi banyak tunjuk ajar kepada saya semasa saya membuat kerja kursus ini. Tambahan lagi, saya juga ingin mengucapkan ribuan terima kasih kepada rakan-rakan saya. Akhir sekali , pengharagaan juga diberikan kepada semua responden yang sudi menjawab soalan-soalan kami dan memberi banyak maklumat kepada kami untuk menyelesaikan kerja kursus ini.
5Introduction Index Numbers -Index numbers are statistical measures designed to show changes in a variable or group of related variables with respect to time, geographic location or other characteristics such as income, profession, etc. A collection of index numbers for different years, locations, etc., is sometimes called an index series.Simple Index Number-A simple index number is a number that measures a relative change in a single variable with respect to a base.Composite Index Number-A composite index number is a number that measures an average relative changes in a group of relative variables with respect to a base.
6(iii) Composite index : PART 1 (a)(i)Price index :• 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 base period and used to indicate changes in the level of prices from one period to another.(ii)Weightage :• the assignment of a quota (as of members of a legislature) to a particular segment of the population as a special favor or concession in a proportion above that allowable on a strictly numerical basis(iii) Composite index :• A grouping of equities, indexes or other factors combined in a standardized way, providing a useful statistical measure of overall market or sector performance over time.
7(b)Ways to represent weightage : 1.Pie chart2.Bar graph
9a)Table1:Family’s monthly expenditure for the year2013 PART 2a)Table1:Family’s monthly expenditure for the year2013Monthly salary (combine income)Number of family membersItemAverage Monthly Expenditure for the year 2013(to the nearest RM)Percentage of monthly expenses(to the nearest %)RM50005Food210042Accommodation(Rental/Loan)1002Transportation(Petrol/Loan/ Bus fare etc.)100020Clothing250Education4008Recreation2004Utilities(Water/Electricity/Telephone)60012Medication1503MiscellaneousTable 1
10Accommodation (Rental/Loan) 300 100 b)(i)(ii)ItemsAverage monthly expenses for the year 2003 as the base year(RM)Average monthly expenses for the year 2013(RM)Food20002100Accommodation (Rental/Loan)300100Transportation(Petrol/Loan/Bus fare etc)8501000Clothing200250Education400Recreation150Utilities (Water/Electricity/ Telephone)500600MedicationMiscellaneousTOTAL45005000Table 2
11Price indices for the year 2013 based on year 2003 Weightage ItemPrice indices for the year 2013 based on year 2003WeightageFood10542Accommodation33.332Transportation (Petrol/Loan/Bus fare etc)20Clothing1255Education2008Recreation133.334Utilities(Water/ Electricity/Telephone etc)12012Medication1003MiscellaneousTOTALTable 3
12c)Formula of composite index (I) d)Based on the findings, I found that the average expenses for current year is higher than the base year We spent a total of RM2100 for food in 2013 compared to only RM2000 in2003. Other expenses such as accommodation, utilities, transportation, clothing, education, and recreation also increase compared to the year This is due to the high inflation rate in After the year 2003, daily expenses for our family had increased due to the increasing of the prices of raw materials.
13PART 3(a) Brand Size of Television (inches) Price(RM) Mean Price(RM) (i)Pay by cashBrandSize of Television (inches)Price(RM)Mean Price(RM)Standard DeviationAIK LEE ELECTRICALCOURTSSHENG HENGPANASONIC24688649679672.00328991099965.674020991799SHARP669672.334.7140969999955.6725992699Table 4(a)
14Size of Television (inches) (ii)Pay by installmentBrandSize of Television (inches)Price(RM)Mean Price(RM)Standard DeviationAIK LEE ELECTRICALCOURTSSHENG HENGPANASONIC24788708758751.3332.99832979119940216918992099SHARP749719699722.3320.5481039102999916.99726792799275956.569Table 4(b)
15The mean and standard deviation of the data can be calculated using formula :
16(b)I want to buy a size 32 inch SHARP television (b)I want to buy a size 32 inch SHARP television. This is because there are five members in my family and only requires medium-sized television for our living room. I choose this brand because I am confident of its quality as our family has long been using this brand for other electrical appliances in our home. Although the brand SHARP is more expensive than the brand PANASONIC, our family still can afford to buy it. I plan to buy from SHENG HENG because they offer 2 years of warranty. In addition, they also offer the lowest price of televisions compared to the other two shops.(c)If I am one of the panel for the award, I would prefer SHENG HENG because the mean price of all types of television for both brands is the lowest compared to the other two shops. Standard deviation for the televisions at the shop is also the lowest. It shows that the prices of television offered by the SHENG HENG is reasonable and affordable.
17PART4(a) Item Average Monthly Expenditure(RM) Modified expenditure(RM) Food2100Accommodation(Rental/Loan)100Transportation(Petrol/Loan/Bus fare etc)1000Clothing250Education400Recreation200Utilities(Water/Electricity/Telephone)600Medication150MiscellaneousTelevisionTOTAL5000
20ReflectionWhile I conducting this project, a lot of information that I found. I have learnt the value of money. 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 the solution for the question .I also learned to be more discipline on time, which I was given about two weeks to complete this project and pass up to my teacher just in time. I also enjoy doing this project I spend my time with friends to complete this project and it had tighten our friendship .Last but not least, I proposed this project should be continue because it brings a lot of moral value to the student and also test the students understanding in Additional Mathematics.
21References Website: -wikipedia -scribd http://eng.wikipedia.com/ Books:-Additional Mathematics Text Book Form 4-Success Additinoal Mathematics SPM,2011,Wang Wei,Dr Ng Sin Wong,Oxford Fajar Sdn.Bhd