FACULTY OF BUSINESS AND MANAGEMENT
PROGRAM BACHELOR OF BUSINESS ADMINISTRATION
SEMESTER
MAY 2012
SBST1303
ELEMENTARY STATISTIC
MATRICULATION NO
:
741129065226001
IDENTITY CARD NO.
:
741129-06-5226
TELEPHONE NO.
:
012-6447071
E-MAIL
:
safinah@oum.com.my
LEARNING CENTRE
:
SEKSYEN 13 SHAH ALAM
SBST1303
ELEMENTARY STATISTIC
SAFINAH BINTI HASSAN ( 741129-06-5226 )
INSTRUCTIONS

Do not copy the assignment question and instructions to your answer.

Prepare your assignment answer following the layout of the ASSESSMENT
CRITERIA shown in the RUBRICS provided for the course. Where RUBRICS are
not provided, follow the instructions/guidelines specified by the Faculty for the
assignment concerned.

Your assignment should be between 2500 to 3000 words EXCLUDING references.

Type your answer using 12 point Times New Roman font and 1.5 line spacing.

Show the number of words at the end of your assignment.

Tables and figures where provided, should be appropiately titled.

List your references separately in the APPENDIX page.
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FACULTY OF BUSINESS AND MANAGEMENT
SBST1303
ELEMENTARY STATISTIC
SAFINAH BINTI HASSAN ( 741129-06-5226 )
TABLE OF CONTENT
Pages
1.0
2.0
3.0
Question 1……………………………………………………………4
a)
Cumulative distribution data…………………………………4
b)
Cumulative distribution Polygon “Less-than or equal to”…...5
c)
Dealers sell cars in month……………………………………5
d)
Percentage month that dealers sell more than 30 cars……….5
Question 2…………………………………………………………….
a)
Type of variable…………………………………………..….6
b)
Histogram teenagers spent at Cybercafe……………….……7
c)
Percentage teenagers at cybercafé…………………………..7
d)
Teenagers spent at cybercafé………………………………..7
e)
Mean. Mode Median………………………………………..8 - 9
Bibliography………………………………………………………...10
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FACULTY OF BUSINESS AND MANAGEMENT
SBST1303
ELEMENTARY STATISTIC
SAFINAH BINTI HASSAN ( 741129-06-5226 )
1.0 QUESTION 1
a) Table 1.0 : Developing Cumulative Distribution Type “ Less –than or Equal” for
the cars sold per month by a car dealer in 36 month.
Class
T
a
b
l
e
11 - 15
16 - 20
21 - 25
26 - 30
31 - 35
36 - 40
41 - 45
SUM
Frequency
(f)
3
7
11
3
4
5
3
Σƒ = 36
Upper
Boundary
≤15.5
≤20.5
≤25.5
≤30.5
≤35.5
≤40.5
≤45.5
Cumulative
Process
3
7+3
11 + 9
3 + 20
4 + 23
5 + 27
3 + 32
Cumulative
Frequency
3
10
21
24
28
33
36
Table 1.1: The “ Less –than or Equal” Cumulative Distribution for the cars sold
per month by a car dealer in 36 month.
Upper
Boundary
≤15.5
≤20.5
≤25.5
≤30.5
≤35.5
≤40.5
≤45.5
Cumulative
Frequency
3
10
21
24
28
33
36
Cumulative
Frequency (%)
0.08
0.28
0.58
0.67
0.78
0.92
1.00
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FACULTY OF BUSINESS AND MANAGEMENT
SBST1303
ELEMENTARY STATISTIC
SAFINAH BINTI HASSAN ( 741129-06-5226 )
b) Graph : Cumulative Frequency Polygon “Less-than or Equal”
Cumulative Frequency (month) No of cars sold in 36 month. 40 35 30 25 20 15 Cumulative Frequency 10 5 0 15.5 20.5 25.5 30.5 35.5 40.5 45.5 Upper Boundary (cars) c) Estimate number based on cumulative frequency polygon the dealer sell less than
20 cars = 9 month
d) Percentage of months with more than 30 cars sold = 33 %
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FACULTY OF BUSINESS AND MANAGEMENT
SBST1303
ELEMENTARY STATISTIC
SAFINAH BINTI HASSAN ( 741129-06-5226 )
2.0 QUESTION 2
a) Type of variable used = Continuous Quantitative Variable
Times
(hours)
0 - 0.4
0.5 - 0.9
1.0 - 1.4
1.5 - 1.9
2.0 - 2.4
2.5 - 2.9
3.0 - 3.4
3.5 - 3.9
4.0 - 4.4
4.5 - 4.9
Total
Frequenc
Midpoint
y
(x)
(f)
2
0.20
5
0.70
19
1.20
15
1.70
10
2.20
8
2.70
5
3.20
3
3.70
2
4.20
1
4.70
70
fx
fx2
Lb
Ub
fm
0
4
23
26
22
22
16
11
8
5
0
2
27
43
48
58
51
41
35
22
-0.95
0.45
0.95
1.45
1.95
2.45
2.95
3.45
3.95
4.45
0.45
0.95
1.45
1.95
2.45
2.95
3.45
3.95
4.45
4.95
2
7
26
41
51
59
64
67
69
70
137
327
1.000
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FACULTY OF BUSINESS AND MANAGEMENT
Relative
Relative
Frequency
Frequency
%
0.029
2.9
0.071
7.1
0.271
27.1
0.214
21.4
0.143
14.3
0.114
11.4
0.071
7.1
0.043
4.3
0.029
2.9
0.014
1.4
100
SBST1303
ELEMENTARY STATISTIC
SAFINAH BINTI HASSAN ( 741129-06-5226 )
b) Graph : Histogram Teenagers at Cybercafe
Time Spent by Teenagers at Cybercafe Frequency 20 15 10 5 0 0 -­‐ 0.4 0.5 -­‐ 1.0 -­‐ 1.5 -­‐ 2.0 -­‐ 2.5 -­‐ 3.0 -­‐ 3.5 -­‐ 4.0 -­‐ 4.5 -­‐ 0.9 1.4 1.9 2.4 2.9 3.4 3.9 4.4 4.9 Times According to Histogram above has show that 90 percent of teenagers spent at
Cybercafe more than 1 hour. The graph show right skewed distribution. The
teenagers spent theirs times within 0 to 0.4 hours 2 person meanwhile between
1.0 to 1.4 are the most teenagers come which is 19 times. Times between 1.5 –
1.9, 15 teenagers followed by 2.0 – 2.4, 10 teenagers. Only one teenager spent
their times between 4.5 to 4.9 hours.
c) Percentage teenagers who spent at least 1.0 hour
= 63 teenagers
= 63 / 70 x 100
= 90%
Percentage teenagers who spent at most 2.1 hours
= (2.1 – 2.0)/0.5 x 100 + 2 + 5 + 19 + 15
=43 teenagers
= 61.42%
d) 2 teenagers are spent less than 30 minutes.
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FACULTY OF BUSINESS AND MANAGEMENT
SBST1303
ELEMENTARY STATISTIC
SAFINAH BINTI HASSAN ( 741129-06-5226 )
e) Calculate the following:
i) Mean :
µ = Σfx / Σf
µ = 137/70
µ = 1.96
ii)Mode:
Lb + C
-
ΔB
---------------------ΔB - ΔA
Class Mode = 1.0 – 1.4
Lb = 0.95
C = 0.5
ΔB = 19 -5 = 14
ΔA = 19 – 15 = 4
so,
= 0.95 + 0.5 x (14/18)
= 1.34
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FACULTY OF BUSINESS AND MANAGEMENT
SBST1303
ELEMENTARY STATISTIC
SAFINAH BINTI HASSAN ( 741129-06-5226 )
iii) Median:
= Lb
+ C
n + 1)/2 - Fb
fm
Mo = (70 + 1) / 2
= 35.5
fm = 41
Lb = 1.45
C = 0.5
Fb = 26
So,
=1.45 + 0.5 {(35.5 – 26)/41}
=1.57
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FACULTY OF BUSINESS AND MANAGEMENT
SBST1303
ELEMENTARY STATISTIC
SAFINAH BINTI HASSAN ( 741129-06-5226 )
d) Bibliography
Prof Dr Mohd Kidin Shahran (2011) SBST1303 Elementary Statistics (1st
Edition) Kuala Lumpur Open University Malaysia.
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FACULTY OF BUSINESS AND MANAGEMENT