add maths folio 2015 (w.p)

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2015 Wilayah Persekutuan SPM Add Maths Folio

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SEKOLAH MENENGAH KEBANGSAAN KUALA LUMPUR

ADDITIONAL MATHEMATICSPROJECT WORKTASK 1/2015HOUSEHOLD EXPENDITURE SURVEY(HES)

NAME : CLASS : 5 DIAMONDIC NUMBER : TEACHER NAME : EN. WONG ContentsNo.ContentPageRemark

1Introduction

2PART AFAMILY MONTHLY INCOME AND ITS MONTHLY ALLOCCATIONIStatistical graphs

IIMean and standard deviation

IIIComments

3PART BFAMILY MONTHLY INCOME AND ITS MONTHLY ALLOCATION FORM 5 OF MY FRIENDSIData in table form

IICompare and comment about finding

IIILine graph and bar chart:Education and recreation for six families

Comments

IVMean, standard deviation for education and recreation

Comments

4PART CMONTHLY INCOME WEIGHTAGE IN DEFREE FOR SIX FAMILIESIPie chart, bar chart and ratio form

IIChange in monthly income

5FURTHER EXPLOTATIONI20 Richest And 20 Poorest Countries In The World And Their Literal Level

IIConclusion

6REFLECTION

IntroductionThe Household Expenditure Survey (HES) was the first conducted in the year 1957/58. Beginning 1993/94 it was carried out an interval of live years and the current survey was undertaken in 2001/9/2010. 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. This 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 also used 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 of information for government and private sectors,researchers and university students.

Part AFamily Monthly Income And Its Monthly AllocationMonthly Income (RM)Number of family membersCategoriesAllocation of Income (RM)Allocation of Income (%)

40003Food120030

Utility65016.25

Transportation60015

Education55013.75

Recreation50012.5

Others50012.5

Total4000100

Representation Of My Monthly Income By Using Three Different Statistical Graphs

Pie Chart

Bar Graph

Line Graph

The Mean And Standard Deviation Of Allocation Of Income

Mean Of Allocation Of Income

3Method AThe mean of allocation of income is calculated by using Microsoft Excel,Method B

The mean of allocation of income is calculated by using following formula,

CategoriesAllocation of Income (RM)

Food1200

Utility650

Transportation600

Education550

Recreation500

Others500

Mean=666.67

x = , where = Sum of all values of data N = Number of values of dataThus,Mean = = =666.667

Standard Deviation Of Allocation Of Income

Method AThe standard deviation of allocation of income is calculated by using following formula, , where = Sum of squares of the values of data = Number of values of data = MeanThus,

Method B

The standard deviation of allocation of income is calculated by using following formula, , where = Value of data = Frequency = MeanThus,

Comment

My family has spent the most allocation of income on food, which is RM 1200. We believe that healthy lifestyle is sustained by variety of food. So, we have always buys nutritious food and supplements which have a high cost. Instead, my family only used up RM500 which is the least money among the other categories on recreation. We are living in an urban lifestyle that busy of works and studies.

Part BMonthly Income And Its Monthly Allocation From Five Of My FriendsFRIEND 1

Monthly Income(RM)Number of Family MembersCategoriesAllocation of Income (RM)Allocation of Income (%)

RM 3,000.00

5Food750.0025.00

Utility200.006.67

Transportation500.0016.67

Education1,000.0033.33

Recreation250.008.30

Others300.0010.00

Total3,000.00100.00

FRIEND 2

Monthly Income(RM)Number of Family MembersCategoriesAllocation of Income (RM)Allocation of Income (%)

RM 8,500.00

6Food800.009.41

Utility1,000.0011.76

Transportation800.009.41

Education2,000.0023.53

Recreation200.002.35

Others3,700.0043.5

Total8,500.00100.00%

Friend 3

Monthly Income(RM)Number of Family MembersCategoriesAllocation of Income (RM)Allocation of Income (%)

RM10,556.15

6Food1,000.009.47

Utility500.004.74

Transportation500.004.74

Education1,000.009.47

Recreation500.004.74

Others7,056.1566.84

Total10,556.15100.00

FRIEND 4

Monthly Income(RM)Number of Family MembersCategoriesAllocation of Income (RM)Allocation of Income (%)

RM 8000.00

4Food1,000.0012.50

Utility800.0010.00

Transportation500.006.25

Education2,000.0025.00

Recreation1,500.0018.75

Others2,2000.0027.50

Total8,000.00100.00

FRIEND 5

Monthly Income(RM)Number of Family MembersCategoriesAllocation of Income (RM)Allocation of Income (%)

RM 12,000.00

5Food2,000.0016.67

Utility1,000.008.30

Transportation1,000.008.30

Education3,000.0025.00

Recreation2,000.0016.67

Others3,000.0025.00

Total12,000.00100.00

COMPARISON ABOUT MY FINDINGS

FamilyMonthly Income (RM)Number of Family MembersCategoriesAllocation of monthly income (RM)

FoodUtilityTransportationEducationRecreationOthers

FRIEND 13,000.0057502005001000250300RM3,000.00

FRIEND 28,500.006800100080020002003700RM8,500.00

FRIEND 310,556.156100050050010005007056.15RM10,556.15

FRIEND 48,000.0041000800500200015002200RM8,000.00

FRIEND 512,000.005200010001000300020003000RM12,000.00

Comment

FRIEND 5's family has the highest monthly income which is RM12, 000.00 based on my findings. FRIEND 1's family has the lowest monthly income which is RM 3000.00 in a month. As a comparison, FRIEND 5s family is the richest among the others friends. While the poorest among the others friends is FRIEND 1.

REPRESENTATION OF EDUCATION AND RECREATION CATEGORIES FOR SIX FAMILIES

A)

B)

Comment

FRIEND 5's and FRIEND 2's family spend the most on education category. Their families are built up by educated people. So, they think that education has play a very important role in their life. FRIEND 4's and FRIEND 5's family also spend the most on recreation category compared to the other families. It is a must for them to enjoy their lives by travelling during every holiday.

15The Mean And Standard Deviation For Education Category

Mean For Education Category

Method AThe mean for education category is calculated by using Microsoft Excel,FamilyEducation Category

My Family550

FRIEND 11000

FRIEND 22000

FRIEND 31000

FRIEND 42000

FRIEND 53000

Mean= 1591.667

Method B

The mean of for education category is calculated by using following formula,

x = , where = Sum of all values of data N = Number of values of dataThus,Mean = = =1591.667

Standard Deviation For Education CategoryMethod AThe standard deviation for education category is calculated by using following formula, , where = Sum of squares of the values of data = Number of values of data = MeanThus,

Method B

The standard deviation for education category is calculated by using following formula, , where = Value of data = Frequency = MeanThus,

The Mean And Standard Deviation For Recreation Category

Mean For Recreation Category

28Method AThe mean for recreation category is calculated by using Microsoft Excel,FamilyRecreation Category

My Family500

FRIEND 1250

FRIEND 2200

FRIEND 3500

FRIEND 41500

FRIEND 52000

Mean=825

Method B

The mean for recreation category is calculated by using following formula,

x = , where = Sum of all values of data N = Number of values of dataThus,Mean = = =825

Standard Deviation For Recreation CategoryMethod AThe standard deviation for recreation category is calculated by using following formula, , where = Sum of squares of the values of data = Number of values of data = MeanThus,

Method B

The standard deviation for recreation category is calculated by using followingformula, , where = Value of data = Frequency = MeanThus,

CommentAll of the six families have spent more income on education compared to recreation. All of them have placed education on the first role so that they can brighten their future.

Part CWeightage In Degrees For Each Category Based On The Monthly Income For My Family And Five Of My Friends

FamiliyCategoriesAllocation of monthly income in degree

FoodUtilityTransportationEducationRecreationOthers

My Family108'58.5'54'49.5'45'45'360'

FRIEND 190'24'60'120'30'36'360'

FRIEND 233.88'42.35'33.88'84.71'8.47'156.7'360'

FRIEND 334.1'17.05'34.1'34.1'17.05'240.6'360'

FRIEND 445'36'22.5'90'67.5'99'360'

FRIEND 560'30'30'90'60'90'360'

Representation Of The Weightage In Degree Of Any Two Families In The Form Of Pie Chart, Another Two Families in The Form of Bar Chart and Another Two Families in The Ratio Form

The Weightag