Deck 4: Displaying and Describing Categorical Data

Question 1

Determine if a display of data is appropriate.
A regional survey was carried out to gauge public opinion on the controversial
Arizona Immigration Law. The results are displayed in the segmented bar chart below.
Which of the following statements is true?

A) A greater percentage of Republicans oppose the law compared to Democrats.
B) A greater percentage of Republicans oppose the law compared to Independents.
C) Opinion about the law appears to be independent of political party affiliation.
D) A greater percentage of Democrats oppose the law compared to Republicans.
E) The segmented bar chart is not appropriate for these data.

Answer 1

D

Question 2

Find conditional and marginal distributions.
A regional survey was carried out to gauge public opinion on the controversial
Arizona Immigration Law (results shown below). Of respondents who are Democrat,
What percent oppose the law?

A) 13%
B) 35%
C) 22%
D) 45%
E) 61%

Answer 2

E

Question 3

Create and analyze relative frequency distributions.
A restaurant uses comment cards to get feedback from its customers about newly
Added items to the menu. It recently introduced homemade organic veggie burgers.
Customers who tried the new burger were asked if they would order it again. The data
Are summarized in the table below. What percentage of customers would definitely order
The veggie burger again?

A) 10%
B) 15%
C) 20%
D) 40%
E) 77%

Answer 3

B

Question 4

Examine a contingency table.
A regional survey was carried out to gauge public opinion on the controversial
Arizona Immigration Law (results shown below). How many respondents are
Republican and favor the law?

A) 93
B) 45
C) 145
D) 7
E) 85

Question 5

Determine if a display of data is appropriate.
In May, 2010, the Pew Research Center for the People & the Press carried out a
National survey to gauge opinion on the Arizona Immigration Law. Responses (Favor,
Oppose, Don't Know) were examined according to groups defined by political party
Affiliation (Democrat, Republican, Independent). Which of the following would be
Appropriate for displaying these data?

A) Contingency table.
B) Pie charts.
C) Segmented bar chart.
D) Side by side bar chart.
E) All of the above.

Question 6

Find conditional and marginal distributions.
A regional survey was carried out to gauge public opinion on the controversial
Arizona Immigration Law. Based on the results displayed in the table below, what
Percent of respondents is Independent?

A) 35%
B) 9%
C) 29%
D) 45%
E) 25%

Question 7

Find conditional and marginal distributions.
A large national retailer of electronics conducted a survey to determine consumer
Preferences for various brands of digital cameras and the data are summarized in the table
Shown below. Of the consumers who prefer Pentax, what percentage is male?

A) 44.1 % (275 / 623).
B) 6.6% (41 / 623).
C) 52.6% (41 / 78).
D) 14.9% (41 / 275).
E) 12.5% (78 / 623).

Question 8

Find conditional and marginal distributions.
A full service brokerage firm gathered information on how their clients were investing
For retirement. Based on age, clients were categorized according to where the largest
Percentage of their retirement portfolio was invested and shown in the table below. Of
The clients who invest in mutual funds, the percentage over age 50 is

A) 53.1% (34 / 64).
B) 33.3% (34 / 102).
C) 18.1% (34 / 188).
D) 34% (64 / 188).
E) 54.3% (102 / 188).

Question 9

Examine a contingency table.
A full service brokerage firm gathered information on how their clients were investing
For retirement. Based on age, clients were categorized according to where the largest
Percentage of their retirement portfolio was invested and shown in the table below. The
Percentage of clients who are over age 50 and invest in mutual funds is

A) 3.1% (34 / 64).
B) 33.3% (34 / 102).
C) 18.1% (34 / 188).
D) 34% (64 / 188).
E) 54.3% (102 / 188).

Question 10

Find conditional and marginal distributions.
A full service brokerage firm gathered information on how their clients were investing
For retirement. Based on age, clients were categorized according to where the largest
Percentage of their retirement portfolio was invested and shown in the table below. The
Percentage of clients over age 50 is

A) 3.1% (34 / 64).
B) 33.3% (34 / 102).
C) 18.1% (34 / 188).
D) 34% (64 / 188).
E) 54.3% (102 / 188).

Question 11

Interpret summary statistics.
Find each of the following percentages.
a. What percent of the clients are over age 50 who invests in mutual funds?
b. What percent of clients over age 50 invest in mutual funds?
c. What percent of the mutual fund investors are over age 50?

Question 12

Find conditional and marginal distributions.
A full service brokerage firm gathered information on how their clients were investing
For retirement. Based on age, clients were categorized according to where the largest
Percentage of their retirement portfolio was invested and shown in the table below. Of
The clients over age 50, the percentage who invest in mutual funds is

A) 3.1% (34 / 64).
B) 33.3% (34 / 102).
C) 18.1% (34 / 188).
D) 34% (64 / 188).
E) 54.3% (102 / 188).

Question 13

Examine a contingency table.
A large national retailer of electronics conducted a survey to determine consumer
Preferences for various brands of digital cameras and the data are summarized in the table
Shown below. The percentage of consumers who are male and prefer Pentax is

A) 44.1 % (275 / 623).
B) 6.6% (41 / 623).
C) 52.6% (41 / 78).
D) 14.9% (41 / 275).
E) 12.5% (78 / 623).

Question 14

Find conditional and marginal distributions.
A large national retailer of electronics conducted a survey to determine consumer
Preferences for various brands of digital cameras and the data are summarized in the table
Shown below. Of the consumers who are male, the percentage who prefer Pentax is
Female Male Total
Sony Cyber-Shot 73 59 132
Kodak - Easy Share 49 47 96
Cannon Power Shot 58 33 91
Pentax 37 41 78
Olympus 45 28 73
Other Brands 86 67 153
Total 348 275 623

A) 44.1 % (275 / 623).
B) 6.6% (41 / 623).
C) 52.6% (41 / 78).
D) 14.9% (41 / 275).
E) 12.5% (78 / 623).

Question 15

Interpret summary statistics.
Identify the variables and tell whether each is categorical or quantitative.

Question 16

Determine if a display of data is appropriate.
Based on the side-by-side bar chart summarizing consumer preferences for various
Brands of digital cameras by gender, which of the following statements is (are) true?

A) It appears that camera preference and gender are not related.
B) It appears that camera preference and gender are not independent.
C) It appears that camera preference and gender are independent.
D) More males than females prefer Cannon.
E) More females than males prefer Pentax.

Question 17

Create and analyze relative frequency distributions.
A restaurant uses comment cards to get feedback from its customers about newly
Added items to the menu. It recently introduced homemade organic veggie burgers.
Customers who tried the new burger were asked if they would order it again. The data
Are summarized in the table below. What percentage of customers would most likely or
Definitely order the veggie burger again?

A) 10%
B) 15%
C) 40%
D) 50%
E) 77%

Question 18

Find conditional and marginal distributions.
A regional survey was carried out to gauge public opinion on the controversial
Arizona Immigration Law (results shown below). What percent oppose the law?

A) 48%
B) 45%
C) 32%
D) 25%
E) 61%

Question 19

Determine if a display of data is appropriate.
The following bar chart summarizing consumer preferences for various brands of
Digital cameras shows

A) the marginal distribution of brands.
B) the conditional distribution of brands.
C) the contingency distribution of brands.
D) the distribution for a quantitative variable.
E) none of the above.

Question 20

Determine if a display of data is appropriate.
The pie chart below for data collected about clients of brokerage firm shows

A) the distribution of a quantitative variable.
B) the contingency distribution of investment type.
C) the conditional distribution of investment type.
D) the marginal distribution of investment type.
E) the joint distribution of investment type.

Question 21

Find conditional and marginal distributions.
A regional survey was carried out to gauge public opinion on the controversial
Arizona Immigration Law (results shown below). Of respondents who oppose the law,
What percent is Democrat?

A) 13%
B) 35%
C) 22%
D) 45%
E) 61%