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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
FAMILY STORE G-MART MYDIN MALL
LIQUID DISH WASHER
SOFTENER
FLOOR CLEANER
CLOTHES DETERGENT
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3.STATIONARY
0
1
2
3
4
5
6
FAMILY STORE G-MART MYDIN MALL
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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