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    Sekolah Menengah KebangsaanJalan Mengkibol, Kluang,Johor.

    Additional Mathematics ProjectWork Year 2013

    2013

    NAME: YAP PEIR WEN

    CLASS: 5IK

    NO IC: 960116-01-6193

    TEACHER: PN. NUR HAFIZAH

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    O JECTIVE

    To aims of carrying out this project work

    here are:

    1. To apply and adapt a variety of

    problem solving strategies to solveproblems.

    2. To improve thinking skills

    3. To promote effective

    mathematical communication4. To develop mathematical

    knowledge through problem solving

    in a way that increases students

    interests.

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    INTRODUCTION

    The Household Expenditure Survey (HES) was the first

    conducted in the year 1957/1958. Beginning 1993/1994,

    it was carried out at an interval of five years and the

    recent survey was undertaken in 2009/2010. The survey

    is covered private households in urban and rural areas.

    The main objective of HES was to collect information

    on the level and pattern of consumption expenditure by

    households on a comprehensive range of goods and

    services. The information served as the basis for

    determining the goods and services to be included in the

    basket of the Consumer Price Index (CPI). It was alsoused to represent the expenditure pattern of households

    in Malaysia.

    However, over the years, demand for data from the

    survey has increased and it is now used for several

    purposes. HES has becomes an invaluable source ofinformation for government and private section,

    researchers and university students.

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    0%

    5%

    10%

    15%

    20%

    25%

    30%

    35%

    40%

    45%

    50%

    Others Recreation Education Transportation Food Utility

    Bar Chart

    Bar Chart

    0%

    5%

    10%

    15%

    20%

    25%

    30%

    35%

    40%

    45%

    50%

    Others Recreation Education Transportation Food Utility

    Line Graph

    Line Graph

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    (ii) The mean and standard deviation of allocation of income by using at least two methods.

    Range Midpoint () Frequency ( 1-100 50.5 2 101 10201

    101-200 150.5 3 451.5 203852.25

    201-300 250.5 0 0 0301-400 350.5 0 0 0

    401-500 450.5 1 450.5 202950.25

    Mean

    Standard Deviation

    Comment

    The family distribute monthly income evenly. In special categories such

    as food, transportation and education, my father spends much. My

    father will not let us stay in hunger and he will always ensure that we

    are doing well in tests by buying us reference books. I appreciate his

    contribution so much and I love him!

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    P RT B

    FAMILY MONTHLY INCOME AND ITS MONTHLY ALLOCATION

    FROM 5 OF MY FRIENDS

    5 OF MY FRIENDS FAMILY MONTHLY INCOME

    FRIEND 1- PANG SHIEK HUI (5IK)

    Monthly Income

    (RM)

    Number of

    family members

    Categories Allocation of

    Income (RM)

    Allocation of

    Income (%)

    4000 5

    Food 800.00 20.00

    Utility 960.00 24.00

    Transportation 800.00 20.00

    Education 800.00 20.00

    Recreation 400.00 10.00

    Others 240.00 6.00Total 4000 100

    FRIEND 2- SEOW MING HOOI (5IS)

    Monthly Income

    (RM)

    Number of

    family members

    Categories Allocation of

    Income (RM)

    Allocation of

    Income (%)

    3000 6

    Food 600.00 20.00

    Utility 375.00 12.50

    Transportation 300.00 10.00

    Education 1350.00 45.00

    Recreation 225.00 7.50

    Others 150.00 5.00

    Total 3000 100

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    FRIEND 3- CHYE JUN HENG (5IS)

    Monthly Income

    (RM)

    Number of

    family members

    Categories Allocation of

    Income (RM)

    Allocation of

    Income (%)

    6000 7

    Food 1200.00 20.00

    Utility 750.00 12.50Transportation 600.00 10.00

    Education 2700.00 45.00

    Recreation 450.00 7.50

    Others 300.00 5.00

    Total 6000 100

    FRIEND 4- GAN HSIEN YANG (5IK)

    Monthly Income

    (RM)

    Number of

    family members

    Categories Allocation of

    Income (RM)

    Allocation of

    Income (%)

    2000 3

    Food 600.00 30.00

    Utility 300.00 15.00

    Transportation 200.00 10.00

    Education 600.00 30.00

    Recreation 200.00 10.00

    Others 100.00 5.00

    Total 2000 100

    FRIEND 5- MUGILAN A/L ANANTHAN (5IK)

    Monthly Income

    (RM)

    Number of

    family members

    Categories Allocation of

    Income (RM)

    Allocation of

    Income (%)

    2500 8

    Food 434.75 17.39

    Utility 543.50 21.74

    Transportation 652.25 26.09

    Education 434.75 17.39

    Recreation 108.75 4.35

    Others 326.00 13.04

    Total 2500 100

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    COMPARISON ABOUT MY FINDINGS

    FAMILY MONTHLY

    INCOME

    (RM)

    NUMBER

    OF

    FAMILY

    MEMBERS

    CATEGORIES ALLOCATION

    OF

    MONTHLY

    INCOME

    (RM)

    FOOD UTILITY TRANSPORTATION EDUCATION RECREATION OTHERS

    PEIR

    WEN

    (ME)

    1000 5 437.

    50

    125.

    00

    187.50 125.00 62.50 62.50 1000

    SHIEK

    HUI

    4000 7 800.

    00

    960.

    00

    800.00 800.00 400.00 240.

    00

    4000

    MING

    HOOI

    3000 5 600.

    00

    375.

    00

    300.00 1350.00 225.00 150.

    00

    3000

    JUN

    HENG

    6000 6 1200

    .00

    750.

    00

    600.00 2700.00 450.00 360.

    00

    6000

    HSIENYANG

    2000 4 600.00

    300.00

    200.00 600.00 200.00 100.00

    2000

    MUGI

    LAN

    2500 8 434.

    75

    543.

    50

    652.25 434.75 108.75 326.

    00

    2500

    Comments:

    Jun Hengs family spent most of his allocation of monthly income as hehas a few cars and his father spends a lot in his education for his better

    future. Therefore, in order to afford the allocation, Jun Hengs father

    works very hard. My fathers pay is not much as him so my family and I

    are unable to spend much money on recreation and unnecessary stuffs.

    I promise that Ill work hard for now to become a famous engineer in

    the future to earn more money for my family!

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    Bar Chart

    Line Graph

    0

    500

    1000

    1500

    2000

    2500

    3000

    3500

    Peie Wen Shiek Hui Ming Hooi Jun Heng Hsien Yang Mugilan

    Education

    Recreation

    0

    500

    1000

    1500

    2000

    2500

    3000

    Peir Wen Shiek Hui Ming Hooi Jun Heng Hsien Yang Mugilan

    Recreation

    Education

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    Comments

    All of the families in observe spent much of their income in education

    category than in recreation category. This shows that the importance of

    education in every family. However, recreation should also be carried

    out to prevent excessive pressure among the family members.

    iv) Mean and standard deviation or education and recreation categories by using at least two

    methods.

    Family Education Recreation Family Education Recreation

    Peir Wen 125.00 62.50 Jun Heng 2700.00 450.00

    Shiek Hui 800.00 400.00 Hsien Yang 600.00 200.00

    Ming Hooi 1350.00 225.00 Mugilan 434.75 108.75

    Education

    Mean

    Recreation

    Mean

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    P RT C

    MONTHLY INCOME: WEIGHTAGE IN DEGREE FOR SIX FAMILIES

    i) Weightage in degrees, for each category based on the monthly income for my family

    and friends.

    FAMILY

    CATEGORIES ALLOCATION

    OF MONTHLY

    INCOME (RM)FOODUTILITY TRANSPORTATION EDUCATION RECREATION OTHERS

    PEIR

    WEN

    (ME)

    157.5 45.0 67.5 45.0 22.5 22.5 360

    SHIEK

    HUI

    72.0 86.4 72.0 72.0 36.0 21.6 360

    MING

    HOOI

    36.0 42.0 42.0 132.0 60.0 48.0 360

    JUN

    HENG

    72.0 45.0 36.0 162.0 27.0 18.0 360

    Hsien

    YANG

    108.0 54.0 36.0 105.0 36.0 18.0 360

    MUGI

    LAN

    62.6 78.3 93.9 62.6 15.7 47.0 360

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    The weightage of any two families in the form of pie chart, another two families in

    the form of bar chart and another two families in ratio form.

    Pie Chart

    157.5

    22.522.5

    45

    67.5

    45

    PEIR WEN

    Food

    Others

    Recreation

    Education

    Transportation

    Utility

    108.5

    18.9

    36105

    36

    54

    HSIEN YANG

    Food

    Others

    Recreation

    Education

    Transportation

    Utility

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    Bar Chart

    Family Categories

    Food Utility Transportation Education Recreation Others

    Shiek Hui 800.00 960.00 800.00 800.00 400.00 240.00

    Mugilan 434.75 543.50 652.25 434.75 108.75 326.00

    Ratio Form 3200:1739 1920:1087 3200:2609 3200:1739 320:87 2:3

    Ratio Form

    0

    20

    40

    60

    80

    100

    120

    140

    160

    180

    MING HOOI

    JUN HENG

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    The corresponding expected monthly income from the information given for me and my friends.

    FAMILY

    CATEGORIES ALLOCATION

    OF MONTHLY

    INCOME (RM)FOODUTILITY TRANSPORTATION EDUCATION RECREATION OTHERS