146502584 additonal mathematics project work 2013 selangor project 2

7/29/2019 146502584 Additonal Mathematics Project Work 2013 Selangor Project 2

1/14

ADDITIONALMATHEMATICS

PROJECTPRICE INDEX

2013

NAME :SYAZLIN ZULAIKHA BINTI SABRI

CLASS: 5 LUHUR

I/C NUMBER:960716-08-5934

TEACHERS NAME:PUAN ZETI AKHTAR


2/14

PART 1(a) Describe in brief

(i) price index,(ii) weightage,

(iii) composite index.

Answer :

(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) (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 sectorperformance over time.

(b) State four ways of weightage representations. Find the examples of the representations

using internet or any printed materials.

Answer :

Ways to represent weightage :

1) Pie chart


3/14

2) Bar graph

3) Line graph

4) Histogram


4/14

PART 2We often hear complaints from the public about inflation. It causes an increase in the

household expenditure in a family. The household expenditure for every family is different.

a) Complete Table 1 for your family's monthly expenditure for the year 2013.

Answer:

Monthly

salary

Number of

family members

Item

Average Monthly

Expenditure for the

year 2013

(to the nearest RM)

Percentage of

monthly expenses

(to the nearest %)

RM 6000 5

Food 1200 20.0

Accomodation

(Rental / Loan) 240 4.0

Transportation

(Petrol/Loan /Bus

fare etc)

600 10.0

Clothing 240 4.0

Education 1500 25.0

Recreation 210 3.5

Utilities

(Water / Electricity /

Telephone)

210 3.5

Medication 300 5.0

Miscellaneous 1500 25.0

TOTAL 6000 100


5/14

Table 1

(b) If we want to compare the cost of living from one year to another, we have to

calculate the price index that involves some of the items mentioned above.

(i) In order to calculate the price index of all the items above, we have to consider theaverage monthly expenses of any previous year as the base year.

Select the appropriate year as the base year.

Answer:

Item

Average Monthly

Expenditure for the base

year 2008

(RM)

Food 700

Accomodation

(Rental / Loan)

200

Transportation

(Petrol/Loan /Bus fare etc)

450

Clothing 120

Education 1000

Recreation 150

Utilities

(Water / Electricity /

Telephone)

180

Medication 200

Miscellaneous 1000TOTAL 4000


6/14

(ii) Hence, complete Table 2 below:

Answer:

Item

Average monthly

expenses for the year 2008

as the base year

(RM)

Average monthly

expenses for the year

2013

(RM)

Food 700 1200

Accomodation

(Rental / Loan) 200 240

Transportation

(Petrol /Loan /Bus fare etc) 450 600

Clothing 120 240

Education 1000 1500

Recreation 150 210

Utilities

(Water / Electricity / Telephone) 180 210

Medication200

300

Miscellaneous1000

1500

TOTAL 4000 6000

Table 2


7/14

(c) (i) Complete Table 3 based on the above information.

Item Price indices for the year 2013

based on the year 2008

Weightage

Food 171.43 20.0

Accomodation

(Rental / Loan) 120.00 4.0

Transportation

(Petrol /Loan /Bus fare etc) 133.33 10.0

Clothing 200.00 4.0

Education 150.00 25.0

Recreation 140.00 3.5

Utilities

(Water / Electricity / Telephone) 116.67 3.5

Medication 150.00 5.0

Miscellaneous 150.00 25.0

TOTAL 1331.43 100

Table 3

Formula to calculate price index :


8/14

( ii) Hence, calculate the composite index for the average monthly expenditure

inthe year 2013 based on the selected base year.

Answer :

Formula to calculate composite index :

= (171.43 X 20) + (120 X 4) + (133.33 X 10) + (200 X 4) + (150 X 25) + (140 X 3.5) +

(116.67 X 3.5) +(150 X 5) + (150 X 25)

(20 + 4 + 10 + 4 + 25 + 3.5 + 3.5 + 5 + 25)

= 151.90

(d) Make a conclusion about your family's expenditure based on your findings.

Answer :

Based on the findings, I found that the average expenses for current year is higher than the

base year 2008. We spent a total of RM1200 for food in 2013 compared to only RM700 in2008. Other expenses such as accommodation, utilities, transportation, clothing, education,

recreation, and medications also increase compared to the year 2008. This is due to the high

inflation rate in 2008. After the year 2008, daily expenses for our family had increased due to

the increasing of the prices of raw materials.


9/14

PART 3Your family is planning to buy a new television set.

(a) You have conducted a survey on the price of the television for two different brandsfrom three different shops. You would like to make a comparison between two

modes of payment, namely, cash payment and payment by installment.

Table 4 (a) shows the prices of televisions by cash payment in three different shops

whereas Table 4(b) shows the prices of televisions by instalment.

Complete Table 4 (a) and 4(b) using the data you obtained.

Answer:

Brand

Size of

Television

(inches)

Price (RM)

Mean

Price

(RM)

Standard

Deviation

(RM)Hup

Liong

Shop

Ramli

Electonics

&

Hardware

Kedai

Elektrik

Chong

TS

24 988 788 888 888.00 81.65

32 1788 1599 1690 1693.33 1685.61

40 2888 2500 2300 562.67 2512.02

SH

24 788 699 999 828.67 125.78

32 969 848 1200 1005.67 1010.70

40 1288 1269 1499 1352.00 104.23

Table 4(a)

Brand

Size of

Television(inches)

Price (RM)

Mean

Price(RM)

Standard

Deviation(RM)Hup Seng

RamliElectronics

&

Hardware

Kedai

Elektrik

Chong

TS

24 1383.2 945.6 1154.4 1161.07 178.69

32 2503.2 1918.8 2197.0 2206.33 238.70

40 4043.2 3000.0 2990.0 3344.40 494.14

SH

24 1103.2 838.8 1298.7 1080.23 188.47

32 1356.6 1017.6 1560.0 1311.40 223.73

40 1803.2 1522.8 1948.7 1758.23 176.79

Table 4(b)


10/14

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


11/14

(b) Determine the brand and size of the television that you have decided to buy. Give

your reasons based on the findings from part (a) above.

Answer:

I want to buy a size 32 inch TS television. This is because there are only 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 TS is more

expensive than the brand SH, our family still can afford to buy it. I plan to buy from

Ramli Electronics & Hardware store because they offer 2 years of warranty. In

addition, they also offer the lowest price of televisions compared to the other two

shops.

(c) The Ministry of Domestic Trade and Consumer Affairs wishes to present the Fair Price

Shop Award for one of the above shops. If you are one of the panels for this award,

determine the shop that deserve the award. Do you consider the value of the mean and

the value of standard deviation in making your decision? Give your justifications.

Answer:

If I am one of the panel for the award, I would prefer Ramli Electronics & Hardware

shop 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 telivisonsat the shop is

also the lowest. It shows that the prices of television offered by the Ramli Electronics

& Hardware shop is reasonable and affordable.


12/14

PART 4(a) Your family has a fixed monthly income. In order to buy the television, your

family needs to make some adjustment on the various types of expenditure.[You can choose to pay by cash or by installment]

Show the average monthly expenditure that you have modified in a table.

ItemAverage Monthly

Expenditure (RM)

Modified expenditure

(RM)

Food 1200 1200

Accomodation

(Rental / Loan) 240 240

Transportation

(Petrol/Loan /Bus

fare etc)

600 500

Clothing 240 50

Education 1500 1300

Recreation 210 100

Utilities

(Water / Electricity

/ Telephone)

210 210

Medication 300 150

Miscellaneous 1500 750

Television - 1500

TOTAL 6000 6000


13/14

(b) Assuming you have just started working with a monthly salary of RM2 500. You

intend to save 10% of your salary every month.

Plan your monthly expenditure as in Table 1 above and add other items such as

savings and contributions to your parents.

Item Average Monthly Expenditure (RM)

Food 400

Accomodation

(Rental / Loan) 300

Transportation

(Petrol/Loan /Bus fare etc) 200

Clothing 100

Education 100

Recreation 50

Utilities

(Water / Electricity / Telephone) 100

Medication 100

Savings 250

Parents 600

Miscellaneous 300

TOTAL 2500


14/14

REFLECTION

While I conducting this project, a lot of

information that I found. I have learnt the

uses of price index . I also learn some moral

values that I practice this project had taught

me to be responsible on the work that given

to be completed. This project also make me

felt more confident to do work 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 3

weeks to complete this project to pass up to

my teacher in time. I also enjoyed this projectduring my school holiday as I spent my time

with my friends to complete this project and

had tighten our friendship

146502584 additonal mathematics project work 2013 selangor project 2

Documents