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STATISTICS AND INDEX NUMBER

IN OUR LIFE

NAME :LUXMANTH PILLAAI A/L PRABHAKARAN PILLAAI

I/C NUMBER : 950527-01-8039

SCHOOL : SMK TUN TUAH

CLASS : 5 ARIF

TEACHER : PN ENG


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The prices of good sold in shops are vary from one shop to another shop.Shoppers tend to buy goods which are not only reasonably priced but also give

value for their money . I had carried out a survey on four different items based

on the following categories which is food ,detergent and stationary . The

survey was done in three different shops which is MYDIN MALL , G-MART and

FAMILY STORE. Informations below shows the results from my research .

Question (a)

(1) STATIONARY

Eraser Marker Pencils Scissors

(2) FOOD


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Self Raising Flour Sugar

Eggs Butter

(3)DETERGENT

Liquid Dish Washer Softener

Floor Cleaner Clothes Detergent


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Question (b) :

Data :


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Question (c) :

1.FOOD

2.DETERGENT

0

1

2

3

4

5

6

7

8

9

FAMILY STORE G-MART MYDIN MALL

SELF RAISING FLOUR

SUGAR

BUTTER

EGGS

0

2

4

6

8

10

12


LIQUID DISH WASHER

SOFTENER

FLOOR CLEANER

CLOTHES DETERGENT


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3.STATIONARY

0

1

2

3

4

5

6


ERASER

MARKER

PENCILS

SCISSOR


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Question (d) :

Based on all the graph in question 1(c) ,we can conclude that Family

Store offers the lowest price for their customers. Then followed by Mydin Mall

and G-Mart. This is because the supplier of the Family Store gives the special

price for its as it buy by bulk. Mydin Mall offer the normal price for their

customer as it does not get special price from the supplier. While ,G-Mart have

to sold the items at the higher price because the shop buy the items by bulk

from Family Store.

Other factors that influenced the prices of goods in the shops is such

as the location of the shop ,population of the customers ,the status of the shop

,the size of the shop , and the rent for the shop.

Family Store can offere the lowest price because it is situated at

stratergic place sp indirectly this factor can attract customers to buy at the

store. When there are many customers ,the demand of the items will be high

and the mall can buy by bulk directly with the supplier to get the special price.

The status of the shop also influenced the price of the goods sold. As example

the shop with status store or mall will offer the lowest price than the shop with

status mini market. The size of the shop also influenced the price. When the

size of the shop is bigger or larger its mean it can sell many different items in

the shop. Indirectly the shop will known as one stop center and it will attract

many customers as the people nowadays are very busy. Family Store is a big

store and also known as hypermarket and it provides many items that we need

in our life. Eventhough Family Store have to pay rent for the place ,but it not

gives too much effects to the price of goods sold as it has many buyers.

Mydin Mall and G-Mart cannot offer the prices as Family Storebecause they are situated outside the urban area like Family Store. So the

population of the customer will not be as many as customers in Family Store.

These shops get the supply for their goods from Family Store. Even they buy by

bulk with Family Store but their prices still will be higher than Family Store. The

size of these shop also small and not so large as Family Store and they cannot

provide too much goods for their customers. They just sold basic needed for

their customers. As they not have too much customers ,so the rent that they

have to pay will influenced the price of the goods sold.


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As a conclusion ,there are many factors that affect the price of the

goods solds in a shop. So,we must be a smart customer to ensure we can get

the lowest price when buying any goods.

The grand total based on the survey I carried out on four differentitems based on the following categories which is food ,detergent ,and

stationary in Family Store is RM 53.20 but in Mydin Mall is RM 55.10 and in G-

Mart is RM 55.20. Hence,Family Store has the cheapest grand total and it gives

highest discounts and offers to their customers.

The graph and pie chart below shows the conclusion of the difference among

the shops based upon the shops grand total :

RM52.00

RM52.50

RM53.00

RM53.50

RM54.00

RM54.50

RM55.00

RM55.50

RM53.20

RM55.30RM55.10

GRAND TOTAL

FAMILY STORE

G-MART

MYDIN MALL


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RM53.20

RM55.30

RM55.10

GRAND TOTAL

FAMILY STORE

G-MART

MYDIN MALL


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Question (e) :

The item has large price different among the shops is marker. Family Store sold

it at RM3.00 ,G-Mart sold it 3.60 while Mydin Mall sold it at RM3.90.

Calculate the mean :

Calculate the standard deviation :

The difference of the price of the marker in these three shops is maybe due to

the price given by the supplier to the shops. Family Store can sold it at the lowest price

because the demand of the buyers for the item is high so it can buy by bulk with thesupplier. So the shop can get the special price.

The demand of the item in G-Mart and Mydin Mall are low. This is because the

customers are more interested to buy the stationery items in hypermarket like Family

Store or in stationery shops as there are more options to choose ,for example there are

many options to choose and buy stationery things in Family Store. So ,G-Mart and Mydin

Mall cannot buy by bulk the stationery items with their supplier. Hence ,they sell goods

with large and expensive price compare to Family Store.


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Question (a) :

From the data in Part 1 ,I would go to Family Store to purchase the

ingredients for the butter cakes. This is because Family Store offers the lowest

price among G-Mart and Mydin Mall for the items I want to buy. So my class

able to sold the butter cakes at the lower price and get some profits from the

sale in that carnival. Futhermore ,Family Store is located not far from my

school and also my house. So it is easier for my friends and I to go there and

buy the the necessary items to bake butter cakes.

Question (b) :

Ingredient Quantity per cake Price in the year

2011 (RM)

Price in the year

2012 (RM)

Self-raising flour 250 g 0.90 1.00

Sugar 200 g 0.35 0.36

Butter 250 g 3.30 3.50

Eggs (Grade A) 5 eggs (300 g) 1.25 1.37


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Question (c) :

Calculate Price Index :

Self raising-flour

Sugar

Butter

Eggs (Grade A)


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Answer :

Ingredient Quantity percake

Price in the year2011 (RM)

Price in the year2012 (RM)

Price Index forthe year 2012

based on the

year 2011

Self-raising

flour

250 g 0.90 1.00 111.11

Sugar 200 g 0.35 0.36 102.86

Butter 250 g 3.30 3.50 106.06

Eggs (Grade A) 5 eggs (300 g) 1.25 1.37 109.60


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Question (d) :

Calculate the composite index :

To calculate the composite index , firstly ,find the weightage for the every

items used from the quantity per cake. Then ,obtain every items price index from

the calculation in question (c). After that ,take every items price index and multiply

with their value of weightage and finally divide with the sum of all items weightage.

Calculate it by using calculator.

Ingredient Weightage ,W

Self raising-flour

Sugar

Butter

Eggs (Grade A)


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Question (e) :


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First of all, I would like to say Alhamdulillah, thanks to God for giving me thestrength and health to

do this project work successfully and finish it on time.Not forgotten, thanks to my parents for

providing everything, such as laptopand internet connection, which really was a big help to me in

finishing thisproject up as I could surf the net to find information and guidance for me tomake it

work. Their advices, which I really needed to motivate myself incompleting this project. They also

had been supporting and encouraging me tocomplete this task soon as I could so that I would not

procrastinate in doing so. Then, I would like to thank my Additional Mathematics teacher, Mrs

Hanizah,who had been the one to guide me and the whole class throughout thisproject. Even though

I had some difficulties in finishing this task, I managed tofinish it well as she taught me patiently till I

got her point.I want to thank the media, for providing me countless informations on thistopic.I

would be lost if theres no internet at my home. Thanks to my friends who had been alwayssupporting me. Even though thisproject had to be done individually, we discussed with each other

on anythingthat was related to this project via Twitter and text messages. We sharedideas and

methods to answer those asked questions correctly.Last but not least, thanks to anyone who had

been contributed either directlyor indirectly in completing this project work. Without them, I

believed, thisproject work could not be done in such a good way.


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