Deck 4: Displaying and Describing Categorical Data

Question 1

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.The table below summarized the
data.
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?

Answer 1

a.18.1% (34/188)
b.33.3% (34/102)
c.53.1% (34/64)

Question 2

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. 4-14 Chapter 4 Displaying and Describing Categorical Data
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).

Answer 2

B

Question 3

Prepare an appropriate chart to display the marginal distribution of age.

Answer 3

Either a bar chart (shown below) or a pie chart is appropriate.

Question 4

A automobile marketing firm conducts a study to see what types of cars people owned before buying an American car.The results are shown below. The relative frequency of those who owned Japanese cars previously who now bought
American cars is

A)59.9 %
B)29.6%
C)5.7%
D)14.9%
E)2.9%

Question 5

Prepare an appropriate chart to display the marginal distribution of brands.

Question 6

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 7

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.The table below summarized the
data.
Identify the variables and tell whether each is categorical or quantitative.

Question 8

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 9

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 10

What is the marginal distribution of brands?

Question 11

The following is a bar chart summarizing consumer preferences for various brands of digital cameras.

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 12

Write a sentence or two about the conditional relative frequency distribution of mode
of investment for clients age 50 or younger.

Question 13

Find each of the following percentages.
a.What percent of the responses were males who prefer Pentax?
b.What percent of the male responses prefer Pentax?
c.What percent of the consumers who choose Pentax were males?

Question 14

Write a sentence or two about the conditional relative frequency distribution of the
brands among female respondents.

Question 15

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

Question 16

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.The table below summarized the
data.
What is the marginal distribution of age?

Question 17

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

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 18

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 19

Consider the following side by side bar chart for the data above: Does the chart indicate that brand preference is independent of gender? Explain.

Question 20

Consider the following side by side bar chart for the data above: Does the chart indicate that mode of investment is independent of age? Explain.

Question 21

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 22

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.

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 23

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 24

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 25

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%

Question 26

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 27

Here is a pie chart for data collected about clients of brokerage firm. The pie chart 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 28

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 29

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.

Question 30

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%

Question 31

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%

Question 32

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