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SELANGOR EDUCATION DEPARTMENT ADDITIONAL MATHEMATICS PROJECT WORK 2/2013 Name:Chen Yee Teng Class:5Science3 Teacher’s Name:Pn.Roaimah School:SMK Taman Tasik

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**No. Contents Page 1 Penghargaan 2 Objektif 3 Introduction 4 Part1 5**

6 Part3 7 Part4 8 Conclusion 9 Reflection 10 References

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Penghargaan 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.

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**Introduction 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.

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**(iii) Composite index : **

PART 1 (a)(i)Price index : • an index number expressing the level of a group of commodity prices relative to the 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.

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**(b)Ways to represent weightage :**

1.Pie chart 2.Bar graph

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3.Line graph 4.Histogram

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**a)Table1:Family’s monthly expenditure for the year2013**

PART 2 a)Table1:Family’s monthly expenditure for the year2013 Monthly salary (combine income) Number of family members Item Average Monthly Expenditure for the year 2013(to the nearest RM) Percentage of monthly expenses(to the nearest %) RM5000 5 Food 2100 42 Accommodation(Rental/Loan) 100 2 Transportation(Petrol/Loan/ Bus fare etc.) 1000 20 Clothing 250 Education 400 8 Recreation 200 4 Utilities(Water/Electricity/Telephone) 600 12 Medication 150 3 Miscellaneous Table 1

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**Accommodation (Rental/Loan) 300 100**

b)(i)(ii) Items Average monthly expenses for the year 2003 as the base year(RM) Average monthly expenses for the year 2013(RM) Food 2000 2100 Accommodation (Rental/Loan) 300 100 Transportation(Petrol/Loan/Bus fare etc) 850 1000 Clothing 200 250 Education 400 Recreation 150 Utilities (Water/Electricity/ Telephone) 500 600 Medication Miscellaneous TOTAL 4500 5000 Table 2

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**Price indices for the year 2013 based on year 2003 Weightage**

Item Price indices for the year 2013 based on year 2003 Weightage Food 105 42 Accommodation 33.33 2 Transportation (Petrol/Loan/Bus fare etc) 20 Clothing 125 5 Education 200 8 Recreation 133.33 4 Utilities(Water/ Electricity/Telephone etc) 120 12 Medication 100 3 Miscellaneous TOTAL Table 3

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**c)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.

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**PART 3(a) Brand Size of Television (inches) Price(RM) Mean Price(RM)**

(i)Pay by cash Brand Size of Television (inches) Price(RM) Mean Price(RM) Standard Deviation AIK LEE ELECTRICAL COURTS SHENG HENG PANASONIC 24 688 649 679 672.00 32 899 1099 965.67 40 2099 1799 SHARP 669 672.33 4.7140 969 999 955.67 2599 2699 Table 4(a)

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**Size of Television (inches)**

(ii)Pay by installment Brand Size of Television (inches) Price(RM) Mean Price(RM) Standard Deviation AIK LEE ELECTRICAL COURTS SHENG HENG PANASONIC 24 788 708 758 751.33 32.998 32 979 1199 40 2169 1899 2099 SHARP 749 719 699 722.33 20.548 1039 1029 999 16.997 2679 2799 2759 56.569 Table 4(b)

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**The mean and standard deviation of the data can be calculated using formula :**

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**(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.

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**PART4(a) Item Average Monthly Expenditure(RM) Modified expenditure(RM)**

Food 2100 Accommodation(Rental/Loan) 100 Transportation(Petrol/Loan/Bus fare etc) 1000 Clothing 250 Education 400 Recreation 200 Utilities(Water/Electricity/Telephone) 600 Medication 150 Miscellaneous Television TOTAL 5000

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**Average Monthly Expenditure (RM) Food 600 Accommodation(Rental/Loan) **

b) Item Average Monthly Expenditure (RM) Food 600 Accommodation(Rental/Loan) 200 Transportation (Petrol/Loan/Bus fare etc) 400 Clothing Education Recreation 100 Utilities (Water/Electricity/Telephone) Medication Savings 250 Parents 300 Miscellaneous 150 TOTAL 2500

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Reflection While 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.

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**References 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

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