Additional Mathematics 2013

JOHOR EDUCATION DEPARTMENT
MINISTRY OF EDUCATION MALAYSIA

ADDITIONAL MATHEMATICS PROJECT WORK 2013
SOLUTION OUTLINE

PART A

Monthly Income
(RM) Number of Family Members Categories Allocation of Income
(RM) Allocation of Income
(%)
3000 6 Food 900.00 30 Utility 660.00 22 Transportation 450.00 15 Education 300.00 10 Recreation 150.00 5 Others 540.00 18
Total 3000.00 100

(i) Example : Pie Chart, Bar Chart and Line Graph.

(ii) Mean
METHOD 1
= RM 500 ,

METHOD 2 (Microsoft Excel)

METHOD 3
Expected Mean = 600 x x - (expected mean)
900.00 300
660.00 60
450.00 -150
300.00 -300
150.00 -450
540.00 -60 = -600

-600 ÷ 6 = -100

Mean = Expected Mean - 100 = 600 - 100 = 500

Standard Deviation
METHOD 1 x x2

900.00 810000
660.00 435600
450.00 202500
300.00 90000
150.00 22500
540.00 291600 1852200 METHOD 2 x 900.00 160000
660.00 25600
450.00 2500
300.00 40000
150.00 122500
540.00 1600 352200

METHOD 3 (Microsoft Excel)

(Using formulae, calculator or excel)
Accept any suitable answer for comments.

PART B
(i)
Student 1
Monthly Income
(RM) Number of Family Members Categories Allocation of Income
(RM) Allocation of Income
(%)
2500 4 Food 750 30 Utility 250 10 Transportation 225 9 Education 350 14 Recreation 300 12 Others 625 25
Total 2500.00 100

Student 2
Monthly Income
(RM) Number of Family Members Categories Allocation of Income
(RM) Allocation of Income
(%)
5500 7 Food 1925 35 Utility 550 10 Transportation 825 15 Education 990 18 Recreation 440 8 Others 770 14
Total 5500.00 100

Student 3
Monthly Income
(RM) Number of Family Members Categories Allocation of Income
(RM) Allocation of Income
(%)
3400 3 Food 850 25 Utility 255 7.5 Transportation 765 22.5 Education 170 5 Recreation 425 12.5 Others 935 27.5
Total 3400 100

Student