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

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Page 1: Introduction Index Numbers

SELANGOR EDUCATION DEPARTMENT

ADDITIONAL MATHEMATICS PROJECT WORK 2/2013

Name:Chen Yee TengClass:5Science3

Teacher’s Name:Pn.RoaimahSchool:SMK Taman Tasik

Page 2: Introduction Index Numbers

No. Contents Page1 Penghargaan

2 Objektif

3 Introduction

4 Part1

5 Part2

6 Part3

7 Part4

8 Conclusion

9 Reflection

10 References

Page 3: Introduction Index Numbers

PenghargaanPertama 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.

Page 4: Introduction Index Numbers
Page 5: Introduction Index Numbers

IntroductionIndex 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.

Page 6: Introduction Index Numbers

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.

Page 7: Introduction Index Numbers

(b)Ways to represent weightage :1.Pie chart

2.Bar graph

1st Qtr2nd Qtr3rd Qtr4th Qtr

Category 1 Category 2 Category 3 Category 4012345

Series 1Series 2

Page 8: Introduction Index Numbers

3.Line graph

Category 1

Category 2

Category 3

Category 4

0

2

4

6

Series 1Series 2

4.Histogram

Page 9: Introduction Index Numbers

PART 2a)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 5

Education 400 8

Recreation 200 4

Utilities(Water/Electricity/Telephone)

600 12

Medication 150 3

Miscellaneous 200 4Table 1

Page 10: Introduction Index Numbers

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 200 400

Recreation 150 200

Utilities (Water/Electricity/ Telephone) 500 600

Medication 150 150

Miscellaneous 150 200

TOTAL 4500 5000

Table 2

b)(i)(ii)

Page 11: Introduction Index Numbers

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

Food 105 42Accommodation 33.33 2

Transportation (Petrol/Loan/Bus fare etc) 117.647 20

Clothing 125 5

Education 200 8

Recreation 133.33 4

Utilities(Water/ Electricity/Telephone etc) 120 12

Medication 100 3Miscellaneous 133.33 4

TOTAL 100

Table 3

Page 12: Introduction Index Numbers

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 2003. 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 2003. This is due to the high inflation rate in 2003. After the year 2003, daily expenses for our family had increased due to the increasing of the prices of raw materials.

Page 13: Introduction Index Numbers

BrandSize of Television (inches)

Price(RM)Mean

Price(RM)Standard Deviation

AIK LEE ELECTRICAL COURTS SHENG

HENG

PANASONIC

24 688 649 679 672.00 16.6733

32 899 1099 899 965.67 94.2809

40 2099 1799 2099 1999.00 141.4214

SHARP

24 669 679 669 672.33 4.7140

32 969 999 899 955.67 41.8994

40 2599 2699 2699 2665.67 47.1405

PART 3(a)

Table 4(a)

(i)Pay by cash

Page 14: Introduction Index Numbers

(ii)Pay by installment

BrandSize of

Television (inches)

Price(RM)

Mean Price(RM)

Standard Deviation

AIK LEE ELECTRICAL COURTS SHENG

HENG

PANASONIC24 788 708 758 751.33 32.998

32 979 1199 979 1052.33 103.709

40 2169 1899 2099 2055.67 114.407

SHARP24 749 719 699 722.33 20.548

32 1039 1029 999 1022.33 16.997

40 2679 2799 2799 2759 56.569

Table 4(b)

Page 15: Introduction Index Numbers

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

Page 16: Introduction Index Numbers

(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.

Page 17: Introduction Index Numbers

Item Average Monthly Expenditure(RM)

Modified expenditure(RM)

Food 2100 2100Accommodation(Re

ntal/Loan) 100 100

Transportation(Petrol/Loan/Bus fare

etc)1000 1000

Clothing 250 250

Education 400 400

Recreation 200 100Utilities(Water/

Electricity/Telephone)

600 600

Medication 150 150

Miscellaneous 200 200

Television 0 100

TOTAL 5000 5000

PART4(a)

Page 18: Introduction Index Numbers

Item Average Monthly Expenditure(RM)

Food 600

Accommodation(Rental/Loan) 200Transportation

(Petrol/Loan/Bus fare etc) 400

Clothing 200

Education 0

Recreation 100Utilities

(Water/Electricity/Telephone) 200

Medication 100

Savings 250

Parents 300

Miscellaneous 150

TOTAL 2500

b)

Page 19: Introduction Index Numbers
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ReflectionWhile 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.

Page 21: Introduction Index Numbers

ReferencesWebsite:-wikipedia

-scribdhttp://eng.wikipedia.com/

http://www.scribd.com/

Books:-Additional Mathematics Text Book Form 4-Success Additinoal Mathematics SPM,2011,Wang Wei,Dr Ng Sin Wong,Oxford Fajar Sdn.Bhd