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Business Math

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City University College of Science & Technology
Faculty of Business
DBQT 2013 Business Statistics
Semester May 2016
ASSIGNMENT 1
Answer all questions. Kindly print the cover page and attached with your answer script.
1.

Classify the following sets of data as qualitative or quantitative.
a) The religious affiliations of college students
b) The height of each member of a basketball team
c) Students’ scores on the first statistics exam
d) The color of new SUV’s on a car lot
e) The Olympic track and field world records, such as the time for the steeplechase.
[5 Marks]

2.

Classify the following sets of data as continuous or discrete.
a) The number of students enrolled in an accounting class
b) The number of General Electric microwaves sold by Home Depot last month
c) The acceleration time of an automobile
d) The temperature of a refrigerator
e) The number of people aboard a commercial airplane
[5 Marks]

3.

The Save More Rental Car Agency at the Cincinnati airport would like to examine records from last summer in order to plan for the coming summer demand. The data for last year’s demand, broken down by type of vehicle requested, is shown in the table below.

Vehicle Type
Frequency
Relative Frequency
Sub-compact
545
0.183
Compact
892
0.299
Full-size
740
0.248
Luxury
360
0.121
SUV
280
0.094
Van
168
0.056
Total
2985
1.001*
* Total is not equal to 1.000 due to rounding error.
a) Construct a frequency and relative frequency bar chart for the data.
b) Construct a pie chart to display the information.
[10 Marks]

4.

The Jansen Motor Company has developed a new engine to further reduce gasoline consumption. The new engine was installed in 20 mid-sized cars and the number of miles per gallon recorded (to the nearest mile per gallon).
29
27
27
30
a)
b)
c)
d)
e)

32
28
18
23

20
21
32
25

30
36
37
19

39
20
29
30

Use the Sturge’s formula to determine the number of classes.
Determine the class interval.
Develop a frequency distribution.
Construct a relative frequency distribution.
Construct a histogram on this data.
[15 Marks]

5.

The following table gives the frequency distribution of total hours spent on studying
Computing Statistics during Semester 2 for all 50 students.
Hours of Study Per Week
24 to less than 40
40 to less than 56
56 to less than 72
72 to less than 88
88 to less than 104

Number of Students
8
12
13
15
2

Draw an ogive (on graph paper) for the cumulative frequency distribution.
[5 Marks]
[Total: 40 Marks]…...

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