Introduction Index Numbers
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Transcript of Introduction Index Numbers
SELANGOR EDUCATION DEPARTMENT
ADDITIONAL MATHEMATICS PROJECT WORK 2/2013
Name: KOH YYON KYNNClass:5Science3
I/C:9601227-14-6139Teacher’s Name:Pn.Roaimah
School:SMK Taman Tasik
No. Contents Page1 Penghargaan
2 Objektif
3 Introduction
4 Part1
5 Part2
6 Part3
7 Part4
8 Conclusion
9 Reflection
10 References
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.
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.
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.
(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
3.Line graph
Category 1
Category 2
Category 3
Category 4
0
2
4
6
Series 1Series 2
4.Histogram
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 %)
RM6900 6
Food 2600 38
Accommodation(Rental/Loan) 400 5
Transportation(Petrol/Loan/ Bus fare etc.)
900 13
Clothing 300 4
Education 1400 21
Recreation 300 4
Utilities(Water/Electricity/Telephone)
600 9
Medication 200 3
Miscellaneous 200 3Table 1
Items Average monthly expenses for the year
2003 as the base year(RM)
Average monthly expenses for the year
2013(RM)
Food 2000 2600
Accommodation (Rental/Loan) 300 400
Transportation(Petrol/Loan/Bus fare etc) 850 900
Clothing 200 300Education 200 1400
Recreation 150 300
Utilities (Water/Electricity/ Telephone) 500 600
Medication 150 200
Miscellaneous 150 200
TOTAL 4500 6900
Table 2
b)(i)(ii)
Item Price indices for the year 2013 based on year 2003 Weightage
Food 130 30 Accommodation 133.33 17.1
Transportation (Petrol/Loan/Bus fare etc) 105.88
12.9
Clothing 150 3.6
Education 700 17.1
Recreation 200 2.9
Utilities(Water/ Electricity/Telephone etc) 120
7.1
Medication 133.33 3.6Miscellaneous 133.33 5.7
TOTAL 100
Table 3
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.
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
(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)
The mean and standard deviation of the data can be calculated using formula :
(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.
Item Average Monthly Expenditure(RM)
Modified expenditure(RM)
Food 2600 2600Accommodation(Re
ntal/Loan) 300 300
Transportation(Petrol/Loan/Bus fare
etc)900 900
Clothing 300 300
Education 1400 1400
Recreation 300 200Utilities(Water/
Electricity/Telephone)
600 600
Medication 200 200
Miscellaneous 200 200
Television 0 100
TOTAL 6900 6900
PART4(a)
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)
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.
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