AMA 370S (Applied Mathematics, Statistics): Tutorial 1.
Due date: 23 June 2021
Question 1:
1. Which of the following are qualitative variables?
a)
b)
c)
d)
e)
f)
Height measured in number of feet
Weight measured in number of kilograms
Number of days it snowed
Hair colour5
Gender
Average daily temperature
2. Identify the scale of measurement for the following: military title, Lieutenant, Captain,
Major.
a) Nominal
b) Ordinal
c) Interval
d) Ratio
3. Identify the scale of measurement for the following categorization of clothing: hat,
shirt, shoes, and pants.
a) Nominal
b) Ordinal
c) Interval
d) Ratio
4. Identify the scale of measurement for the following: heat measured in degrees
centigrade.
a) Nominal
b) Ordinal
c) Interval
d) Ratio
5.
a)
b)
c)
d)
A score on a 5-point quiz measuring knowledge of algebra is an example of a(n)
Nominal scale
Ordinal scale
Interval scale
Ratio scale
6.
a)
b)
c)
City of birth is an example of a(n)
Nominal scale
Ordinal scale
Interval scale
d) Ratio scale
Question 2:
The following table is based on the data of the attendance behaviours’ for Applied Mathematics
370S students. This data contains students, sex; attendance 1 is showing if the students leave
the session or not, Attendance 2 shows that if the students left, did the comeback to the session.
And lastly, times shows how many times students left the session.
Students
Gender Timing
Attendance
1
Attendance 2
Times
Marks
Student 1
M
On Time
Left
Comeback
Two
56
Student 2
M
Late
Never Left
Neither
Zero
61
Student 3
M
On Time
Never Left
Neither
Zero
77
Student 4
M
On Time
Left
Comeback
Four
51
Student 5
M
On Time
Left
Never Comeback
Three
43
Student 6
M
On Time
Never left
Neither
Zero
59
Student 7
M
Late
Left
Never Comeback
One
50
Student 8
M
Late
Never Left
Neither
Zero
66
Student 9
F
On Time
Never Left
Neither
Zero
33
Student 10
M
On Time
Left
Never comeback
Four
49
Student 11
M
On Time
Never left
Neither
Zero
71
Student 12
F
Late
Left
Never Comeback
One
61
Student 13
F
On Time
Never left
Neither
Zero
55
Student 14
F
On Time
Never Left
Neither
Zero
50
Student 15
F
Late
Never Left
Neither
Zero
49
Student 16
F
Late
Never Left
Neither
Zero
83
Student 17
F
On Time
Left
Never Comeback
Four
91
Student 18
M
On Time
Left
Never comeback
One
31
1. Construct a one-way frequency table for each variable (gender, timing, Attendance 1,
Attendance 2, and times) given on Table1. Include frequency, relative frequency, and
cumulative relative frequency for each variable.
2. Draw a bar graph for the Time variable. Include the relative frequencies on top of the
bars.
3. Draw a pie graph for the Attendance 2 variable.
4. Construct a two-way frequency table for Sex vs. Timing, Sex vs. Attendance 1, and Sex
vs. Times with Faculty as the rows and Country as the columns. Include cell frequencies
and row relative frequencies. Interpret the meaning of the row relative frequencies.
5. Create a stem and Leaf for the marks of the students.