MCGRAW PRACTICE EXAM QUESTIONS AND
DETAILED SOLUTIONS 2026
▶ 252 . Answer: We asked 1000 respondents whether they preferred
Online teaching, hybrid teaching, or attending class in person. The relative
frequency of the Online teaching proponents was point 252 or (.252). How
many respondents preferred online teaching?
Multiple choice question.
748
There is no way to know
252
We can identify the relative frequency, but not the frequency
▶ When creating a bar chart or a histogram, each bar/rectangle should be
of the same width
Axes should be clearly marked and labeled . Answer: Select all that apply
Which of the basic guidelines should you follow when constructing or
interpreting charts or graphs? Choose all that apply!
Multiple select question.
When creating a bar chart or a histogram, each bar/rectangle should be of
the same width
Give high values for upper limits on a graph
The prettiest graph should be used for a given set of data
Axes should be clearly marked and labeled
▶ 4 . Answer: If a bar chart depicts the relative frequency for type of
occupations (with options as Doctor, Professor, Athlete, or Actor) as the
categorical variable as a series of vertical bars, and the Doctor vertical bar
has a value of .4, and there are 10 employeed individuals responding, how
many Doctors were in the group of 10?
Multiple choice question.
6
10
40
4
, ▶ true . Answer: True or false: Contingency tables and stacked column
charts are two common tabular and graphical methods that help us
summarize the relationship between two categorical variables.
▶ Histogram
Frequency distribution . Answer: Select all that apply
Which of the following are described as valid methods for visualizing a
numerical variable?
Multiple select question.
Tree diagram
Histogram
Frequency distribution
Decision tree
▶ 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
DETAILED SOLUTIONS 2026
▶ 252 . Answer: We asked 1000 respondents whether they preferred
Online teaching, hybrid teaching, or attending class in person. The relative
frequency of the Online teaching proponents was point 252 or (.252). How
many respondents preferred online teaching?
Multiple choice question.
748
There is no way to know
252
We can identify the relative frequency, but not the frequency
▶ When creating a bar chart or a histogram, each bar/rectangle should be
of the same width
Axes should be clearly marked and labeled . Answer: Select all that apply
Which of the basic guidelines should you follow when constructing or
interpreting charts or graphs? Choose all that apply!
Multiple select question.
When creating a bar chart or a histogram, each bar/rectangle should be of
the same width
Give high values for upper limits on a graph
The prettiest graph should be used for a given set of data
Axes should be clearly marked and labeled
▶ 4 . Answer: If a bar chart depicts the relative frequency for type of
occupations (with options as Doctor, Professor, Athlete, or Actor) as the
categorical variable as a series of vertical bars, and the Doctor vertical bar
has a value of .4, and there are 10 employeed individuals responding, how
many Doctors were in the group of 10?
Multiple choice question.
6
10
40
4
, ▶ true . Answer: True or false: Contingency tables and stacked column
charts are two common tabular and graphical methods that help us
summarize the relationship between two categorical variables.
▶ Histogram
Frequency distribution . Answer: Select all that apply
Which of the following are described as valid methods for visualizing a
numerical variable?
Multiple select question.
Tree diagram
Histogram
Frequency distribution
Decision tree
▶ 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
