Deck 2: Displaying and Describing Categorical Data

Question 1

A newspaper examined the town's two hospitals and found that over the last six
months at Mercy Hospital 79% of the patients survived while at County Hospital 90%
survived. The table below summarizes the findings. .

Answer 1

Question 2

What is the marginal distribution of brands?

Answer 2

132 for Cannon Power Shot, 96 for Nikon Cool Pix, 91 for Sony Cyber Shot, 65 for
Panasonic Lumix, 73 for Fujifilm Finepix, 78 for Olympus S/V and 153 for other brands.

Question 3

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 3

Question 4

Find each of the following percentages.

Question 5

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

Question 6

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

Question 7

The following is a bar chart summarizing consumer preferences for various brands of digital cameras. This bar chart 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 8

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

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.

Of the consumers who are male, the percentage who prefer Sony is

A)
B)
C)
D)
E)

Question 10

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 11

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

Question 12

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 13

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

Question 14

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

Question 15

A company interested in the health of its employees started a health program including monitoring blood pressure. Based on age, employees were categorized according to ranges of
Blood pressure by age intervals. Data are shown in the table below. The percentage of employees who are over age 50 and have high blood pressure is

A) 46.8% (72/154).
B) 32.1% (154/480).
C) 31.6% (59/187).
D) 36.9% (72/195).
E) 15.0% (72/480).

Question 16

What is the marginal distribution of age?

Question 17

Based on the side-by-side bar chart summarizing consumer preferences for various brands of digital cameras by gender, which of the following statement(s) are true?

A) It appears that camera preference and gender are at least somewhat related.
B) If Other Brands are ignored, it appears that camera preference and gender are independent.
C) If Other Brands are ignored, it is not obvious that camera preference and gender are
Independent.
D) More males than females prefer Cannon.
E) More females than males prefer Sony.

Question 18

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 19

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 Olympus, what percentage is female?

A)
B)
C)
D)
E)

Question 20

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 Fujifilm is

A)
B)
C)
D)
E)

Question 21

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. Which of
The following would be an appropriate method for displaying the data shown in the table?

A) Contingency table.
B) Segmented bar chart.
C) Pie chart.
D) Both A and B.
E) Both B and C.

Question 22

Accenture, a consulting firm, conducted an online survey of 500 US consumers in September 2013. Based on their response to the question "What is your motive for
Shopping late in the season?" which of the following would be an appropriate method for
Displaying the data shown in the table?

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

Question 23

A company interested in the health of its employees started a health program including monitoring blood pressure. Based on age, employees were categorized according to ranges of
Blood pressure by age intervals. Data are shown in the table below.

A) 46.8% (72/154).
B) 15.0% (72/480).
C) 31.6% (59/187).
D) 36.9% (72/195).
E) 47.2% (92/195).
2-16

Question 24

A consulting firm examined the profit of two grocery stores and found that over the last year at Grocery Store A 66.7% of the months showed profit while at Grocery Store B 83.3% showed
Profit. The table below summarizes the findings. What can be assumed about the profit of grocery stores?

A) Grocery Store B has more consistent profit overall.
B) It is clear that less wealthy neighborhoods will not yield these grocery store profits.
C) It is unclear how to predict the profit of these grocery stores based on the wealth of
Neighborhoods.
D) Grocery Store A showed less profit overall but showed greater profit in wealthier
Neighborhoods.
E) There is no difference in profit overall with grocery stores in either wealthier versus less
Wealthy neighborhoods.

Question 25

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 26

A clothing store uses comment cards to get feedback from its customers about newly added items. It recently introduced plus size fashion wear. Customers who purchased
The items were asked to fill out an online comment survey giving 10% off the next
Purchase. The data are summarized in the table below. What percentage of customers
Were at least satisfied with the item(s) purchased (Satisfied or Very satisfied)?

A) 49.2%
B) 73.8%
C) 24.6%
D) 26.2%
E) 68.9%

Question 27

Accenture, a consulting firm, conducted an online survey of 500 US consumers from 2009 to 2013. The results are displayed in the segmented bar chart below. How many
Respondents in 2012 are at least somewhat likely to shop on "Black Friday"?

A) 265
B) 275
C) 140
D) 230
E) 95

Question 28

A company interested in the health of its employees started a health program including monitoring blood pressure. Based on age, employees were categorized according to ranges of blood pressure by age intervals. Data are shown in the table below.

A) 17.1% (82/480).
B) 40.6% (195/480).
C) 13.5% (65/480).
D) 36.9% (72/195).
E) 49.4% (285/480).

Question 29

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) 6

Question 30

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 31

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 32

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 33

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 34

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 35

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 36

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 37

A clothing store uses comment cards to get feedback from its customers about newly added items. It recently introduced plus size fashion wear. Customers who purchased
The items were asked to fill out an online comment survey giving 10% off the next
Purchase. The data are summarized in the table below. What percentage of customers
Would be less likely to purchase another item (Less or Not fully satisfied)?

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

Question 38

A clothing store uses comment cards to get feedback from its customers about newly added items. It recently introduced plus size fashion wear. Customers who purchased
The items were asked to fill out an online comment survey giving 10% off the next
Purchase. The data are summarized in the table below. Which of the following would be
An appropriate method for displaying the data shown in the table?

A) Contingency table.
B) Segmented bar chart.
C) Pie chart.
D) Both A and B.
E) Both B and C.

Question 39

A company interested in the health of its employees started a health program including monitoring blood pressure. Based on age, employees were categorized according to ranges of blood pressure by age intervals. Data are shown in the table below. .

A) 67.9% (326/480).
B) 47.9% (230/480).
C) 41.7% (96/230).
D) 80.0% (384/480).
E) 20.0% (96/480).

Question 40

Here is a stacked bar chart for data collected about employee blood pressure. This chart shows

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

Question 41

Accenture, a consulting firm, conducted an online survey of 500 US consumers in September 2013. Based on their response to the question "What is your motive for
Shopping late in the season?" which of the following would be appropriate method(s) for
Displaying the male only data shown in the table?

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

Question 42

Accenture, a consulting firm, conducted an online survey of 500 US consumers from in 2013. What percentage of men were felt that better discounts were available on "Black Friday"?

A) 26.5%
B) 65%
C) 20%
D) 17.8%
E) 5.5%

Question 43

Accenture, a consulting firm, conducted an online survey of 500 US consumers in September, 2013. What percentage of consumers thought that shopping on "Black Friday" is part of the
Holiday tradition?

A) 8.3%
B) 33.3%
C) 11.1%
D) 12.5%
E) 75.0%

Question 44

Accenture, a consulting firm, conducted an online survey of 500 US consumers from 2009 to 2013. The results are displayed in the segmented bar chart below. Which of the
Following statement(s) is (are) true?

A) A smaller percentage of shoppers over the past 5 years are undecided about shopping
On "Black Friday".
B) In 2013, there was an increase in Very likely to shop on "Black Friday" over 2012.
C) From 2011 to 2013, there was a decrease in Not at all likely to shop on "Black
Friday".
D) A greater percentage of shoppers over the past 5 years are at least somewhat likely to
Shop on "Black Friday".
E) The segmented bar chart is not appropriate for these data.

Question 45

Accenture, a consulting firm, conducted an online survey of 500 US consumers from in 2013. What percentage of those who thought that better discounts were available on "Black
Friday" were female?

A) 81.3%
B) 33.3%
C) 11.1%
D) 47.2%
E) 23.5%