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Additional Mathematics Project Work 2016

QUESTION 1

ADDITIONAL MATHEMATICS PROJECT WORK2016

The Household Expenditure Survey (HES) was first conducted in the year 1957/5!

"e#innin# 199$/9% it was carried out at an interval of five years and the recent survey was

underta&en in '9/'1! The survey covered private households in uran and rural areas!

The *ain o+ective of HES was to collect infor*ation on the level and pattern of 

consu*ption expenditure y households on a co*prehensive ran#e of #oods and services!

This infor*ation served as the asis for deter*inin# the #oods and services to e included

in the as&et of the ,onsu*er -rice .ndex (,-.)! .t was also used to represent the

expenditure pattern of households in alaysia!

However0 over the years0 de*and for data fro* the survey has increased and it is now

used for several purposes! HES has eco*e an invaluale source of infor*ation for 

#overn*ent and private sectors0 researchers and university students!

PART A

or* 5 students are re2uired to #et their fa*ily *onthly inco*e and its *onthly allocation

for the followin# cate#ories3 ood0 4tility0 Transportation0 Education0 ecreation and

others!

Taulate your findin#s as elow3

onthly .nco*e

()

6u*er of 

fa*ily

*e*ers

,ate#ories llocation of 

.nco*e ()

 llocation

of .nco*e

(8)

ood

4tility

Transportation

Education

ecreation

thers

Total 1

  Tale 1

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Additional Mathematics Project Work 2016

"ased on your tale aove0

(i) represent your data usin# three different statistical #raphs!

(ii) find the *ean and standard deviation of allocation of inco*e y usin# at least two

*ethods!

:ive your co**ents!

PART B

(i) ,ollect data fro* 5 of your friends and taulate your findin#s as in Tale 1!

(ii) ,o*pare and co**ent your findin#s!

(iii) ;raw on the sa*e axes0

(a) line #raph

() ar chart

to represent education and recreation cate#ories for six fa*ilies!

:ive your co**ents!

(iv) ind *ean and standard deviation for education and recreation cate#ories y usin# at

least two *ethods!

:ive your co**ents!

PART C

(i) ind the wei#hta#e in de#rees0for each cate#ory ased on the *onthly inco*e for your 

fa*ily and your five friends!

Hence0 represent the wei#hta#es of any two fa*ilies in the for* of pie chart0 another 

two fa*ilies in the for* of ar chart and another two fa*ilies in the ratio for*!

(ii) The allocation of *onthly inco*e is expected to chan#e next year as elow3

Categories Allocation of Income

ood .ncrease y 1 8

4tility .ncrease y 5 8

Transportation 4nchan#ed

Education .ncrease y $ 8

ecreation ;ecrease y ' 8

thers .ncrease y 1 8

ind the correspondin# expected *onthly inco*e fro* the aove infor*ation for you and

your five friends

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Additional Mathematics Project Work 2016

FURTHER EXPLORATIONS

hile you were conductin# the pro+ect0 what have you learnt? >hat *oral values did you

practice? epresent your opinions or feelin#s creatively throu#h usa#e of sy*ols0

illustrations0 drawin# or even in a son#!

END OF PROJECT PAPER

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