MCGRAW ACTUAL EXAM QUESTIONS AND
COMPLETE STUDY GUIDE 2026
▶ Contingency . Answer: When examining the relationship between two
categorical variables, a _____ table proves very useful
▶ 300 < x ≤ 400 and 400 < x ≤ 500 . Answer: Which of the following
examples violates the 'mutually exclusive' guideline for interval
construction?
Multiple choice question.
300 < x ≤ 400 and 400 < x ≤ 500
200 < x ≤ 300 and 301 < x ≤ 500
100 < x ≤ 200 and 201 < x ≤ 300
300 < x ≤ 400 and 401 < x ≤ 500
▶ Relative Frequency
Frequency of each interval . Answer: Select all that apply
When constructing a histogram, we typically mark off the interval limits
along the horizontal axis. What does the height of each bar represent?
Choose all that are correct responses.
Multiple select question.
Number of intervals
Relative Frequency
Frequency of each interval
The type of response
▶ false . Answer: True or false: When constructing a graph, the vertical
axis SHOULD be stretched so that an increase (or decrease) of the data
appears more pronounced than warranted. This will help prove your point
more graphically.
▶ scatter plot . Answer: Which of the following is a common graphical
method that allows us to determine whether two numerical variables are
related in some systematic way?
Multiple choice question.
Scatter plot
, Pie chart
Contingency table
Stacked column chart
▶ stacked . Answer: A ______ column chart is an advanced version of the
column chart that we discussed. It is designed to visualize more than one
categorical variable, plus it allows for the comparison of composition within
each category.
▶ A paired observation with one x-axis point and one y-axis point. (x1, y1) .
Answer: When examining the relationship between two numerical
variables, a scatter plot is a simple, yet useful, graphical tool. What does
each point in a scatter plot represent?
Multiple choice question.
A paired observation with one x-axis point and one y-axis point. (x1, y1)
Two x-axis comparisons
Multiple paired observations such as (x1, x2), (y2, y3)
An unpaired observation but two y-axis comparisons
▶ color . Answer: A heat map is an important visualization tool that uses
_______ to display relationships between variables. (Please enter one
word for one blank.)
▶ A linear relationship exists between the two variables
No relationship exists between the two variables
A nonlinear relationship exists between the two variables . Answer: A
scatter plot is a simple, yet useful, graphical tool. We plot each pairing: (x1,
y1), (x2, y2), and so on. Once the data are plotted, according to the
textbook, the graph may reveal which of the following? (Select all that
apply)
Multiple select question.
A linear relationship exists between the two variables
No relationship exists between the two variables
A bar chart would have been a better choice
A nonlinear relationship exists between the two variables
▶ Measures of association . Answer: Which numerical descriptive measure
shows whether two numerical variables have a linear relationship?
Multiple choice question.
Measures of dispersion
COMPLETE STUDY GUIDE 2026
▶ Contingency . Answer: When examining the relationship between two
categorical variables, a _____ table proves very useful
▶ 300 < x ≤ 400 and 400 < x ≤ 500 . Answer: Which of the following
examples violates the 'mutually exclusive' guideline for interval
construction?
Multiple choice question.
300 < x ≤ 400 and 400 < x ≤ 500
200 < x ≤ 300 and 301 < x ≤ 500
100 < x ≤ 200 and 201 < x ≤ 300
300 < x ≤ 400 and 401 < x ≤ 500
▶ Relative Frequency
Frequency of each interval . Answer: Select all that apply
When constructing a histogram, we typically mark off the interval limits
along the horizontal axis. What does the height of each bar represent?
Choose all that are correct responses.
Multiple select question.
Number of intervals
Relative Frequency
Frequency of each interval
The type of response
▶ false . Answer: True or false: When constructing a graph, the vertical
axis SHOULD be stretched so that an increase (or decrease) of the data
appears more pronounced than warranted. This will help prove your point
more graphically.
▶ scatter plot . Answer: Which of the following is a common graphical
method that allows us to determine whether two numerical variables are
related in some systematic way?
Multiple choice question.
Scatter plot
, Pie chart
Contingency table
Stacked column chart
▶ stacked . Answer: A ______ column chart is an advanced version of the
column chart that we discussed. It is designed to visualize more than one
categorical variable, plus it allows for the comparison of composition within
each category.
▶ A paired observation with one x-axis point and one y-axis point. (x1, y1) .
Answer: When examining the relationship between two numerical
variables, a scatter plot is a simple, yet useful, graphical tool. What does
each point in a scatter plot represent?
Multiple choice question.
A paired observation with one x-axis point and one y-axis point. (x1, y1)
Two x-axis comparisons
Multiple paired observations such as (x1, x2), (y2, y3)
An unpaired observation but two y-axis comparisons
▶ color . Answer: A heat map is an important visualization tool that uses
_______ to display relationships between variables. (Please enter one
word for one blank.)
▶ A linear relationship exists between the two variables
No relationship exists between the two variables
A nonlinear relationship exists between the two variables . Answer: A
scatter plot is a simple, yet useful, graphical tool. We plot each pairing: (x1,
y1), (x2, y2), and so on. Once the data are plotted, according to the
textbook, the graph may reveal which of the following? (Select all that
apply)
Multiple select question.
A linear relationship exists between the two variables
No relationship exists between the two variables
A bar chart would have been a better choice
A nonlinear relationship exists between the two variables
▶ Measures of association . Answer: Which numerical descriptive measure
shows whether two numerical variables have a linear relationship?
Multiple choice question.
Measures of dispersion
