Add Math

Topics: Standard deviation, Chart, Arithmetic mean Pages: 10 (1737 words) Published: June 20, 2013
Addition Mathematics Project Work 2013
Title : Household Expenditure Survey (HES)

CONTENTS

NO| TITLE| PAGE|
1| Title| 1|
2| Contents| 2|
3| Introduction| 3|
4| PART A i. Family Monthly Income and Its Monthly Allocation ii. Statistical Graphs iii. Mean and Standard Deviation| 44,56| 5| PART B i. 5 Family Monthly Income and Allocation ii. Comparison of 5 Family Monthly Income and Allocation iii. Education and Recreation Categories For Six Families iv. Mean and Standard Deviation| 7,88910,11| 6| PART C i. Weightage of Monthly Income for My Family and My Five Friends Pie Chart, Bar Chart and Ratio Form ii. Change in Monthly Income| 12,1313| 7| Further Explorations| 14,15,16|

8| Reflection| 17|

INTRODUCTION

The Household Expenditure Survey (HES) was the first conducted in the year 1957/58. Beginning 1993/94 it was carried out at an interval of five years and the recent survey was undertaken in 2009/2010. The survey 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 A
Family Monthly Income and Its Monthly Allocation
Monthly Income (RM)| Number of family members| Categories| Allocation of Income (RM)| Allocation of Income (%)| 5000| 7| Food| 2000| 40.00|
| | Utility| 200| 4.00|
| | Transportation| 800| 16.00|
| | Education| 330| 6.60|
| | Recreation| 500| 10.00|
| | Others| 1170| 23.40|
Total| 5000| 100|

i. Statistical Graphs

Pie Chart
Bar Chart

Line Graph
i. Mean and Standard Deviation of Allocation Income

x| x2| x-x2|
2000| 4000000| 1361118.89|
200| 40000| 401106.89|
800| 640000| 1110.90|
330| 108900| 253341.10|
500| 250000| 111108.90|
1170| 1368900| 113346.70|
Total| 5000| 6407800|  2241133.4|
Method 1:| Method2:|
Mean, x=2000+200+800+330+500+11706= 833.33| Mean, x=50006= 833.33| Standard Deviation, σ= 64078006- (833.33)2= 611.16| Standard Deviation, σ= 2241133.46= 611.16| Mean,x=xN or tatal incomeN| Standard Deviation,σ=x2N-x2 or (x-x)2N|

COMMENTS:
THE CATEGORIES OF FOOD USED UP THE MOST MONEY WHILE THE CATEGORIES OF UTILITY AND EDUCATION USED UP THE LEAST MONEY AMONG ALL PART B
i. Family Monthly Income and Its Monthly Allocation from 5 of My Friends

Friends A – (5 Science Technology)
Monthly Income (RM)| Number of family members| Categories| Allocation of Income (RM)| Allocation of Income (%)| 1500| 5| Food| 705| 47.00|
| | Utility| 195| 13.00|
| | Transportation| 300| 20.00|
| | Education| 130| 8.67|
| | Recreation| 95| 6.33|
| | Others| 75| 5.00|
Total| 1500| 100|

Friends B – (5 Science Technology)
Monthly Income (RM)| Number of family members| Categories| Allocation of Income (RM)| Allocation of Income (%)| 8000| 5| Food| 2500| 31.25|
| | Utility| 600| 7.50|
| | Transportation| 500| 6.25|
| | Education| 1200| 15.00|
| | Recreation| 1900| 23.75|
| | Others| 1300| 16.25|
Total| 8000| 100|

Friends C – (5 Science 1)
Monthly Income (RM)| Number of family members| Categories| Allocation of Income (RM)| Allocation of Income (%)| 1500| 5| Food| 300| 20.00|
| | Utility| 150| 10.00|
| | Transportation| 350| 23.33|
| | Education|...
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