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Quantitative Methods

QMS 102

Jason Chin- Tiong Chan

Fall

Description

Business Statistics I (QMS102) - Test 1
REVIEW PROBLEMS
Question 1 Consider the following questions being asked on a survey. What
is the measurement scale of the response data?
(a)Ordinal
(b)Nominal
(c)Interval
(d)Ratio – Discrete
(e)Ratio - Continuous
1) What was the rating of the hotel that you last stayed in?
a) Dissatisfied
b) Somewhat Dissatisfied
c) Somewhat satisfied
d) Satisfied
e) Very good
2) What is your marital status?
1=Married; 2=Common Law; 3=Widowed; 4=Divorced; 5=Single
3) What is the major that you are studying?
a) Math
b) Physics
c) Chemistry
d) Biology
e) History
4) What is the postal code?
5) Which letter grade did you get on your Chemistry course last term?
6) What is the color of your eyes?
7) What is the color of your car?
8) Where is your hometown?
9) How many courses are taking this term?
10) How much time do you spend on shoppin0 each week?
11) What was the lowest temperature in C in the city you are
living last month?
12) How many children do you intend to have?
13) How many languages can you speak?
14) Which language is your native language?
15) Where were you born?
16) What is your weight?
17) How long does it take for you to walk from your home to
Ryerson?
NOTE: Questions 2 – 3 are based on the following information. The following data represents the heights (m) for a sample of 11 boys at age 12.
1.38, 1.43, 1.25, 1.47, 1.29, 1.54, 1.37, 1.25, 1.53, 1.45, 1.29
Question 2 If you were to construct a stem-and-leaf display using the rules discussed in
lectures for the above data, how many stems should your stem-and-leaf display have?
a) 7 b) 8 c) 6 d) 9 e) None of these
Question 3 Based on the stem-and-leaf display (using the rules discussed in lectures) for the
above data, how many leaves would there be on the second stem of your stem-and-leaf
display?
a) 4 b) 0 c) 2 d) 3 e) None of these
NOTE: Questions 4 - 7 are based on the following information.
The following data represents the heights (m) for a sample of 12 boys at age 12.
1.38, 1.43, 1.25, 1.47, 1.29, 1.54, 1.37, 1.25, 1.53, 1.45, 1.29, 1.41
Question 4 If you were to construct a frequency distribution using the rules discussed in
lectures for the above data, what would the class width (in thousand dollars) be?
a) 1.0 b) 0.05 c) 0.50 d) 0.10 e) 0.025
Question 5 If you were to construct a frequency distribution using the rules discussed in
lectures for the above data, how many classes are there in the frequency distribution?
a) 4 b) 5 c) 8 d) 6 e) 10
Question 6 Based on the frequency distribution using the rules discussed in lectures for the
above data, what is the relative frequency of the fourth class? (The answers provided below
are rounded to three decimal places).
a) 0.250 b) 0.333 c) 0.375 d) 0.167 e) None of these
Question 7 Based on the frequency distribution using the rules discussed in lectures for the
above data, what is the cumulative percentage of up to and including the third class? (The
answers provided below are rounded to two decimal places).
a) 16.67% b) 33.33% c) 50.00% d) 46.67% e) None of these
Use the following data for questions 8 to 10 inclusive. The following table represents the distribution of the income ($1000) in 2011 for a sample of
households in Toronto.
Table 1
Income ($1000) Number of households
20 and under
37
30
30 and under 22
40
40 and under
50 45
50 and under 5
60
60 and under 20
70
70 and under
80 11
80 and under 15
90
Question 8 The number households in this sample, whose incomes in 2011 are lower than
$70,000, is
a) 12.9% b) 16.8% c) 73.5% d) 83.2% e) 80.3%
Question 9 The relative frequency of the households in this sample, whose incomes in 2011
are higher than $50,000, is (rounded to three decimal places):
a) 0.671
b) 0.032
c) 0.329

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