Kerja Kursus Matematik Tambahan Pulau Pinang 2012

ACTIVITY 1: COLLECTING INFORMATION

Respondent’s detail (R1)

Name of Respondent: __________________________________________________________

Occupation: _________________________ Total family income: _______________________

Item Expenditure

Estimated monthly expenditure in the year 2009 and 2011 of each item

No Item of expenditure Year 2009(RM)

Year 2011(RM)

1 Food 600 950

2 House Rental 450 650

3 Transportation 500 700

4 Entertainment 200 320

5 Children Tuition Fee 120 180

Total

Name of interviewer: ____________________________________ Class: ___________________

......................................................... ...........................................

Respondent’s signature Date




Item Expenditure



Year 2011(RM)

1 Food

2 House Rental

3 Transportation

4 Entertainment

5 Children Tuition Fee

Total


......................................................... ...........................................





Item Expenditure



Year 2011(RM)

1 Food

2 House Rental

3 Transportation

4 Entertainment


Total


......................................................... ...........................................





Item Expenditure



Year 2011(RM)

1 Food

2 House Rental

3 Transportation

4 Entertainment


Total


......................................................... ...........................................





Item Expenditure



Year 2011(RM)

1 Food

2 House Rental

3 Transportation

4 Entertainment


Total


......................................................... ...........................................





Item Expenditure



Year 2011(RM)

1 Food

2 House Rental

3 Transportation

4 Entertainment


Total


......................................................... ...........................................





Item Expenditure



Year 2011(RM)

1 Food

2 House Rental

3 Transportation

4 Entertainment


Total


......................................................... ...........................................





Item Expenditure



Year 2011(RM)

1 Food

2 House Rental

3 Transportation

4 Entertainment


Total


......................................................... ...........................................





Item Expenditure



Year 2011(RM)

1 Food

2 House Rental

3 Transportation

4 Entertainment


Total


......................................................... ...........................................





Item Expenditure



Year 2011(RM)

1 Food

2 House Rental

3 Transportation

4 Entertainment


Total


......................................................... ...........................................


Form 2

No Item of expenditure

Expenditure of the year 2009

R1 R2 R3 R4 R5 R6 R7 R8 R9 R10 Mean

1 Food 650 540 600 750 800 600 480 650 700 630 640

2 House Rental 450 300 400 400 350 450 400 400 390 400 394

3 Transportation 300 200 300 400 400 350 350 450 400 250 340

4 Entertainment 200 150 100 150 200 150 150 200 200 150 165

5 Children Tuition Fee 100 100 150 130 100 100 120 110 120 100 113

Total 1700 1290 1550 1830 1850 1650 1500 1810 1810 1530


Expenditure of the year 2011

R1 R2 R3 R4 R5 R6 R7 R8 R9 R10 Mean

1 Food 600 650 800 850 900 700 550 800 850 950 765

2 House Rental 500 450 500 450 400 500 500 500 400 400 460

3 Transportation 350 300 450 600 500 440 390 500 400 200 413

4 Entertainment 150 200 150 150 150 150 200 150 200 200 170

5 Children Tuition Fee 130 140 140 130 140 140 140 150 100 150 136

Total 1730 1740 2040 2180 2090 1930 1780 2100 1950 1900

Form 3

No Item of expenditure Average expenditure year 2009

Average expenditure year 2011

1 Food 640 765

2 House Rental 394 460




Total

ACTIVITY 2: ANALYSING THE DATAa) Calculate the percentage of increase in expenditure for each item in 2011 based on 2009.

NoItem of

expenditure

Average expenditure year

2009

Average expenditure year

2011

Percentage2011 based 2009

1 Food 640 765765640

×100=119.5

2 House Rental 394 460460394

×100=116.8


×100=121.5


×100=103.0


×100=120.4

Total

b) Find the expenditure index for each item.


Percentage2011 based 2009

Index

1 Food 765640

×100=119.5 119.5

2 House Rental460394

×100=116.8 116.8

3 Transportation413340

×100=121.5 121.5

4 Entertainment 170165

×100=103.0 103.0

5 Children Tuition Fee136113

×100=120.4 120.4

c) Determine the weightage of each item in percentage. Hence, or otherwise present tour weightage in the form of pie chart.

NoItem of

expenditurePercentage

2011 based 2009 IndexPercentage(Weightage)

Degrees(Weightage)

1 Food 765640

×100=119.5 119.5 20.6 74.0

2 House Rental460394

×100=116.8 116.8 20.1 72.3

3 Transportation413340

×100=121.5 121.5 20.9 75.3

4 Entertainment 170165

×100=103.0 103.0 17.7 63.8


136113

×100=120.4 120.4 20.7 74.6

Total 100 360.0

Food 21%

House Rental

20%Transportation21%

Enter-tainment

18%

Children Tu-ition Fee

21%

d) Find the value of expenditure composite index in the year 2011 based on year 2009

NoItem of

expenditureIndex,I

Percentage(Weightage)

WIW

1 Food 119.5 20.6 2461.7

2 House Rental 116.8 20.1 2347.7

3 Transportation 121.5 20.9 2539.4

4 Entertainment 103.0 17.7 1823.1

5 Children Tuition Fee 120.4 20.7 2492.3

Total 100 11664.1

Composite index , I=∑ IW

∑W

¿ 11664.1100

¿116.6

ACTIVITY 3: INTERPRETING THE REESULTa) Describe the expenditure of each item based on the value of expenditure index you obtained.

No Item of expenditureIndex,I

1 Food 119.5

2 House Rental 116.8

3 Transportation 121.5

4 Entertainment 103.0

5 Children Tuition Fee 120.4

Food House Rental Transportation Entertainment Children Tuition Fee

90

95

100

105

110

115

120

125

Index

No Item Descriptions 1 Food Food took up third largest value of index number in the entire item,

and the index number is 119.5. The percentage of increase of food compare the year 2009 is 19.5%.

2 House Rental House rental index number is 116.8, increase with the percentage of 16.8% compare the previous year 2009.

3 Transportation Transportation index number is 121.5, which is 21.5% of increase based 2009. Transportation took the largest index number in the list of item.

4 Entertainment Entertainment with the small value of index number in the list of item which is 103, increase with small percentage of 3%.

5 Children Tuition Fee Tuition fee index number is 120.4 with the increase of 20.4% from the based year 2009.

b) Make a conclusion based on the composite index of expenditure.

A grouping of equities, indexes or other factors combined in a standardized way, providing a useful statistical measure of overall expenditure. The composite index for overall expenditure is 116.6, the total expenditure increase 16.6% in the year 2011 based on the year 2009.

ACTIVITY 4: FURTHER EXPLORATION

a) In the year 2013, the cost of living is expected to increase by 20% based on year 2011. Calculate the expenditure index of each item in year 2013 based on year 2009.

No Item of expenditure Index,I2011 based 2009

Index,I2013 based 2009

1 Food 119.5119.5×120100

=143.4

2 House Rental 116.8116 .8×120

100=14 0.2

3 Transportation 121.5121.5×120

100=145.8

4 Entertainment 103.0103.0×120

100=123.6

5 Children Tuition Fee 120.4120.4×120

100=14 4.5

b) From the information in previous activity (4a), use at least two methods to find the composite index of expenditure in the year 2013 based on year 2009.

Method 1

Method 2


2013 based 2009 Weightage IW

1 Food119.5×120100

=143.4 20.6 2954.04

2 House Rental116.8×120100

=140.2 20.1 2818.02

3 Transportation121.5×120

100=145.8 20.9 3047.22

4 Entertainment103.0×120

100=123.6 17.7 2187.75

5 Children Tuition Fee120.4×120

100=144.5 20.7 2991.15

100 13998.15


∑W

2009 2011 2013

116.6 120

I 2013/2009=116.6×120

100=139.92

¿ 13998.15100

¿139.98

c) The impact of 20% increase in expenditure index in the year 2013 can be reduced by controlling expenses for the certain items. Give your suggestions on how to reduce this percentage increase of expenditure for some items. Give reason for each suggestion given.

Transportation – by using the public transport and using the concept of car pooling, the cost transportation can be reducing.

Tuition Fee – by making use of school facilities and services, student no need go for tuition centre. Its can help to reduce the tuition fees for every families.

d) Show the impact of your suggestion on the composite index of expenditure.

By assume the index number for 2011 based on 2009 is 100 for both item transportation and tuition fee.



1 Food119.5×120100

=143.4 20.6 2954.04


=140.2 20.1 2818.02


100=145.8 20.9 3047.22

4 Entertainment100×120100

=120 17.7 2124

5 Children Tuition Fee100×120100

=120 20.7 2484

100 13427.28


∑W

¿ 13427.28100

¿134.27

ACTIVITY 5: CONCLUSIONa) List three important items in a family expenditure. Explain how you select these important

items.

A traditional list of immediate "basic needs" is food (including water), shelter, and clothing. Many modern lists emphasize the minimum level of consumption of 'basic needs' of not just food, water, and shelter, but also sanitation, education, and healthcare. The basic needs for every living person in this world is food, house (rental) and transportation (for travel to gain the income)

b) What is the cost of living for a family in the year 2011 when compared to the year 2009?

Cost of living in the year 2011 is 16.6% more than year 2009 (is the base 100).

c) What are the impacts on a family if the cost of living increased by 20% in 2013?

Cost of living in the year 2013 is 39.98% more than year 2009 (is the base 100). An increase in the general level of prices implies a decrease in the purchasing power of the currency. That is, when the general level of prices rises, each monetary unit buys fewer goods and services. The effect of inflation is not distributed evenly in the economy, and as a consequence there are hidden costs to some and benefits to others from this decrease in the purchasing power of money.

d) If your suggestions are able to reduce the cost of living, how does it affect the Composite Index?

By assume the index number for 2011 based on 2009 is 100 for both item transportation and tuition fee.



1 Food119.5×120100

=143.4 20.6 2954.04


=140.2 20.1 2818.02


100=145.8 20.9 3047.22

4 Entertainment100×120100

=120 17.7 2124

5 Children Tuition Fee100×120100

=120 20.7 2484

100 13427.28


∑W

¿ 13427.28100

¿134.27

e) What is the percentage of reduction in the cost of living in year 2013 if your suggestions are accepted?

The impact by controlling the 2 item above, we can reduce composite index by 5.71%.

Documents

Kerja Kursus Matematik Tambahan Pulau Pinang 2012