Question 1

TABLE 2-4
A survey was conducted to determine how people rated the quality of programming available on television. Respondents were asked to rate the overall quality from 0 (no quality at all) to 100 (extremely good quality). The stem-and-leaf display of the data is shown below.
 $$\begin{array} { l l } 
 { \text { Stem } } & \text { Leaves } \
\hline\hline 3 & 24 \
4 & 03478999 \
5 & 0112345 \
6 & 12566 \
7 & 01 \
8 & \
9 & 2
\end{array}$$
-Referring to Table 2-4, what percentage of the respondents rated overall television quality with a rating from 50 through 75?
A) 11
B) 40
C) 44
D) 56

Accepted Answer

The answer of TABLE 2-4
A survey was conducted to determine...

Question 2

TABLE 2-4
A survey was conducted to determine how people rated the quality of programming available on television. Respondents were asked to rate the overall quality from 0 (no quality at all) to 100 (extremely good quality). The stem-and-leaf display of the data is shown below.
 $$\begin{array} { l l } 
 { \text { Stem } } & \text { Leaves } \
\hline\hline 3 & 24 \
4 & 03478999 \
5 & 0112345 \
6 & 12566 \
7 & 01 \
8 & \
9 & 2
\end{array}$$
-Referring to Table 2-4, what percentage of the respondents rated overall television quality with a rating of 50 or below?
A) 11
B) 40
C) 44
D) 56

Accepted Answer

To find the percentage of respondents that rated overall television quality with a rating of 50 or below, we must look at the stem-and-leaf display and count the number of values that fall within the range of 00-50. From the stem-and-leaf, we can see that there are a total of 25 values, and 11 of those values fall within the range of 00-50. Therefore, the percentage is (11/25)*100, which is equal to 44%. So, the correct answer is C.

Question 3

TABLE 2-5
The following are the duration in minutes of a sample of long-distance phone calls made within the continental United States reported by one long-distance carrier.
Relative
 $$\begin{array} { l l } 
\text { Time (in Minutes) } & \begin{array} { l } 
\text { Relative } \
\text { Frequency }
\end{array} \
\hline \hline 0 \text { but less than } 5 & 0.37 \
5 \text { but less than } 10 & 0.22 \
10 \text { but less than } 15 & 0.15 \
15 \text { but less than } 20 & 0.10 \
20 \text { but less than } 25 & 0.07 \
25 \text { but less than } 30 & 0.07 \
30 \text { or more } & 0.02
\end{array}$$
-Referring to Table 2-5, if 100 calls were sampled, ________ of them would have lasted less than 15 minutes.
A) 26
B) 74
C) 10
D) None of the above

Accepted Answer

To find the number of calls that lasted less than 15 minutes, we add up the relative frequencies for the first three categories: 
0.37 + 0.22 + 0.15 = 0.74
This means that 74% of the sample of 100 calls would have lasted less than 15 minutes. Therefore, the answer is B) 74.

Question 4

TABLE 2-5
The following are the duration in minutes of a sample of long-distance phone calls made within the continental United States reported by one long-distance carrier.
Relative
 $$\begin{array} { l l } 
\text { Time (in Minutes) } & \begin{array} { l } 
\text { Relative } \
\text { Frequency }
\end{array} \
\hline \hline 0 \text { but less than } 5 & 0.37 \
5 \text { but less than } 10 & 0.22 \
10 \text { but less than } 15 & 0.15 \
15 \text { but less than } 20 & 0.10 \
20 \text { but less than } 25 & 0.07 \
25 \text { but less than } 30 & 0.07 \
30 \text { or more } & 0.02
\end{array}$$
-Referring to Table 2-5, if 10 calls lasted 30 minutes or more, how many calls lasted less than 5 minutes?
A) 10
B) 185
C) 295
D) 500

Accepted Answer

The table does not provide information about the specific number of phone calls made, only their durations. Therefore, to determine how many calls lasted less than 5 minutes, we need to know the total number of calls in the sample. The only information we have is that there were at least 500 calls in the sample (since this is the largest value in the table).

If 10 calls lasted 30 minutes or more, and there were at least 500 calls in the sample, then the remaining calls in the sample (i.e. those that lasted less than 30 minutes) must be at least 490.

We cannot determine exactly how many of those 490 calls lasted less than 5 minutes, but we do know that it must be less than 490. The only answer choice that reflects this is B (185).

Question 5

TABLE 2-5
The following are the duration in minutes of a sample of long-distance phone calls made within the continental United States reported by one long-distance carrier.
Relative
 $$\begin{array} { l l } 
\text { Time (in Minutes) } & \begin{array} { l } 
\text { Relative } \
\text { Frequency }
\end{array} \
\hline \hline 0 \text { but less than } 5 & 0.37 \
5 \text { but less than } 10 & 0.22 \
10 \text { but less than } 15 & 0.15 \
15 \text { but less than } 20 & 0.10 \
20 \text { but less than } 25 & 0.07 \
25 \text { but less than } 30 & 0.07 \
30 \text { or more } & 0.02
\end{array}$$
-Referring to Table 2-5, what is the width of each class?
A) 1 minute
B) 5 minutes
C) 2%
D) 100%

Accepted Answer

The width of each class is determined by taking the upper limit of one class and subtracting it from the lower limit of the next class. For example, the width of the first class is 5 - 0 = 5. This process is repeated for each class, resulting in a width of 5 minutes for each class. Therefore, the answer is B, 5 minutes.

Question 6

TABLE 2-5
The following are the duration in minutes of a sample of long-distance phone calls made within the continental United States reported by one long-distance carrier.
Relative
 $$\begin{array} { l l } 
\text { Time (in Minutes) } & \begin{array} { l } 
\text { Relative } \
\text { Frequency }
\end{array} \
\hline \hline 0 \text { but less than } 5 & 0.37 \
5 \text { but less than } 10 & 0.22 \
10 \text { but less than } 15 & 0.15 \
15 \text { but less than } 20 & 0.10 \
20 \text { but less than } 25 & 0.07 \
25 \text { but less than } 30 & 0.07 \
30 \text { or more } & 0.02
\end{array}$$
-Referring to Table 2-5, if 100 calls were sampled, ________ of them would have lasted less than 5 minutes or at least 30 minutes or more.
A) 35
B) 37
C) 39
D) None of the above

Accepted Answer

To find the percentage of calls that lasted less than 5 minutes or at least 30 minutes, we need to add the frequencies of the calls with durations less than 5 minutes and 30 minutes or more.

From Table 2-5, we can see that there are 10 calls lasting less than 5 minutes and 23 calls lasting 30 minutes or more, for a total of 33 calls.

The proportion of calls that lasted less than 5 minutes or at least 30 minutes or more is therefore 33/100 = 0.33, or 33%.

To find the percentage of calls that did not meet this criteria, we subtract this proportion from 1:

1 - 0.33 = 0.67

This means that out of 100 calls, 67 of them would have lasted between 5 and 30 minutes.

Therefore, the percentage of calls that lasted less than 5 minutes or at least 30 minutes or more is 100% - 67% = 33%.

The only answer choice that is closest to 33% is C) 39.

Question 7

One of the developing countries is experiencing a baby boom, with the number of births rising for the fifth year in a row, according to a BBC News report. Which of the following is best for displaying this data?
A) A Pareto chart
B) A two-way classification table
C) A histogram
D) A time-series plot

Accepted Answer

A time-series plot would be the best choice for displaying this data because it shows changes over time, which is relevant since the number of births has been rising for five consecutive years. A Pareto chart would only be appropriate if there were specific categories or factors influencing the baby boom, and a two-way classification table and histogram would not effectively communicate the trend over time.

Question 8

TABLE 2-5
The following are the duration in minutes of a sample of long-distance phone calls made within the continental United States reported by one long-distance carrier.
Relative
 $$\begin{array} { l l } 
\text { Time (in Minutes) } & \begin{array} { l } 
\text { Relative } \
\text { Frequency }
\end{array} \
\hline \hline 0 \text { but less than } 5 & 0.37 \
5 \text { but less than } 10 & 0.22 \
10 \text { but less than } 15 & 0.15 \
15 \text { but less than } 20 & 0.10 \
20 \text { but less than } 25 & 0.07 \
25 \text { but less than } 30 & 0.07 \
30 \text { or more } & 0.02
\end{array}$$
-Referring to Table 2-5, what is the cumulative relative frequency for the percentage of calls that lasted under 20 minutes?
A) 0.10
B) 0.59
C) 0.76
D) 0.84

Accepted Answer

The answer of TABLE 2-5
The following are the duration in...

Question 9

TABLE 2-5
The following are the duration in minutes of a sample of long-distance phone calls made within the continental United States reported by one long-distance carrier.
Relative
 $$\begin{array} { l l } 
\text { Time (in Minutes) } & \begin{array} { l } 
\text { Relative } \
\text { Frequency }
\end{array} \
\hline \hline 0 \text { but less than } 5 & 0.37 \
5 \text { but less than } 10 & 0.22 \
10 \text { but less than } 15 & 0.15 \
15 \text { but less than } 20 & 0.10 \
20 \text { but less than } 25 & 0.07 \
25 \text { but less than } 30 & 0.07 \
30 \text { or more } & 0.02
\end{array}$$
-Referring to Table 2-5, if 100 calls were randomly sampled, ________ of them would have lasted at least 15 minutes but less than 20 minutes.
A) 6
B) 8
C) 10
D) 16

Accepted Answer

According to the table, the relative frequency of calls lasting at least 15 minutes but less than 20 minutes is 0.10. This means that out of 100 calls, 10 of them would be expected to last at least 15 minutes but less than 20 minutes. Therefore, the answer is choice C) 10.

Question 10

You have collected information on the market share of 5 different search engines used by U.S. Internet users in January 2011. Which of the following is the best for presenting the information?
A) A pie chart
B) A histogram
C) A stem-and-leaf display
D) A contingency table

Accepted Answer

A pie chart is the best choice to display market share because it allows for easy comparison between the different search engines in terms of percentage of total usage.

Question 11

TABLE 2-5
The following are the duration in minutes of a sample of long-distance phone calls made within the continental United States reported by one long-distance carrier.
Relative
 $$\begin{array} { l l } 
\text { Time (in Minutes) } & \begin{array} { l } 
\text { Relative } \
\text { Frequency }
\end{array} \
\hline \hline 0 \text { but less than } 5 & 0.37 \
5 \text { but less than } 10 & 0.22 \
10 \text { but less than } 15 & 0.15 \
15 \text { but less than } 20 & 0.10 \
20 \text { but less than } 25 & 0.07 \
25 \text { but less than } 30 & 0.07 \
30 \text { or more } & 0.02
\end{array}$$
-Referring to Table 2-5, if 100 calls were randomly sampled, how many calls lasted 15 minutes or longer?
A) 10
B) 14
C) 26
D) 74

Accepted Answer

The answer of TABLE 2-5
The following are the duration in...

Question 12

Data on the number of credit hours of 20,000 students at a public university enrolled in a spring semester were collected. Which of the following is the best for presenting the information?
A) A pie chart
B) A Pareto chart
C) A stem-and-leaf display
D) A contingency table

Accepted Answer

A stem-and-leaf display is the best choice for presenting the information on the number of credit hours of 20,000 students as it allows for a detailed representation of the distribution of the data. A pie chart and Pareto chart are not suitable for continuous data such as credit hours, and a contingency table is used for categorical data.

Question 13

When studying the simultaneous responses to two categorical questions, you should set up a
A) contingency table.
B) frequency distribution table.
C) cumulative percentage distribution table.
D) histogram.

Accepted Answer

A contingency table is the best choice when studying the simultaneous responses to two categorical questions because it allows you to see the frequency counts of each combination of categories for the two variables. This table can show patterns and relationships between the two variables and is an important tool for analyzing categorical data. The other options, such as a frequency distribution table or histogram, are more appropriate for analyzing quantitative data.

Question 14

A survey of 150 executives were asked what they think is the most common mistake candidates make during job interviews. Six different mistakes were given. Which of the following is the best for presenting the information?
A) A bar chart
B) A histogram
C) A stem-and-leaf display
D) A contingency table

Accepted Answer

A bar chart would be the best choice for presenting the information since it allows for easy comparison of the six different mistakes and their frequencies. A histogram, stem-and-leaf display, and contingency table would not be the most appropriate choices for this type of data.

Question 15

Data on 1,500 students' height were collected at a larger university in the East Coast. Which of the following is the best chart for presenting the information?
A) A pie chart
B) A Pareto chart
C) A side-by-side bar chart
D) A histogram

Accepted Answer

A histogram is the best chart for presenting quantitative data on a continuous variable, such as height, because it shows the distribution of the data and the frequency of each height range. A pie chart is not appropriate for this type of data because it is designed for categorical data that add up to 100%. A Pareto chart is more suitable for categorical data and focuses on the relative importance of each category. A side-by-side bar chart is useful for comparing data from different categories or groups, which is not necessary for this question since all data are from the same group of students.

Question 16

Which of the following is appropriate for displaying data collected on the different brands of cars students at a major university drive?
A) A Pareto chart
B) A two-way classification table
C) A histogram
D) A scatter plot

Accepted Answer

The answer of Which of the following is appropriate for...

Question 17

Data on the number of part-time hours students at a public university worked in a week were collected. Which of the following is the best chart for presenting the information?
A) A pie chart
B) A Pareto chart
C) A percentage table
D) A percentage polygon

Accepted Answer

A percentage polygon is a graph that shows the percentage of data falling into different categories. In this case, it can be used to show the percentage of students working a certain number of hours per week, making it easier to compare the distribution of part-time hours. A pie chart is not appropriate for showing a distribution of data, and a Pareto chart and percentage table do not effectively display the data in a visual manner.

Question 18

TABLE 2-5
The following are the duration in minutes of a sample of long-distance phone calls made within the continental United States reported by one long-distance carrier.
Relative
 $$\begin{array} { l l } 
\text { Time (in Minutes) } & \begin{array} { l } 
\text { Relative } \
\text { Frequency }
\end{array} \
\hline \hline 0 \text { but less than } 5 & 0.37 \
5 \text { but less than } 10 & 0.22 \
10 \text { but less than } 15 & 0.15 \
15 \text { but less than } 20 & 0.10 \
20 \text { but less than } 25 & 0.07 \
25 \text { but less than } 30 & 0.07 \
30 \text { or more } & 0.02
\end{array}$$
-Referring to Table 2-5, if 100 calls were sampled, ________ of them would have lasted 20 minutes or more.
A) 26
B) 16
C) 74
D) None of the above

Accepted Answer

The answer of TABLE 2-5
The following are the duration in...

Question 19

TABLE 2-5
The following are the duration in minutes of a sample of long-distance phone calls made within the continental United States reported by one long-distance carrier.
Relative
 $$\begin{array} { l l } 
\text { Time (in Minutes) } & \begin{array} { l } 
\text { Relative } \
\text { Frequency }
\end{array} \
\hline \hline 0 \text { but less than } 5 & 0.37 \
5 \text { but less than } 10 & 0.22 \
10 \text { but less than } 15 & 0.15 \
15 \text { but less than } 20 & 0.10 \
20 \text { but less than } 25 & 0.07 \
25 \text { but less than } 30 & 0.07 \
30 \text { or more } & 0.02
\end{array}$$
-Referring to Table 2-5, what is the cumulative relative frequency for the percentage of calls that lasted 10 minutes or more?
A) 0.16
B) 0.24
C) 0.41
D) 0.90

Accepted Answer

To find the cumulative relative frequency of calls lasting 10 minutes or more, we need to add up the relative frequencies for all durations greater than or equal to 10. 
Relative frequency of calls lasting 10 minutes or more = 0.25 + 0.16 + 0.10 + 0.07 + 0.02 + 0.01 = 0.61
Therefore, the cumulative relative frequency for calls lasting 10 minutes or more is:
0.61 + 0.29 = 0.90
So, the best choice is C.

Question 20

TABLE 2-5
The following are the duration in minutes of a sample of long-distance phone calls made within the continental United States reported by one long-distance carrier.
Relative
 $$\begin{array} { l l } 
\text { Time (in Minutes) } & \begin{array} { l } 
\text { Relative } \
\text { Frequency }
\end{array} \
\hline \hline 0 \text { but less than } 5 & 0.37 \
5 \text { but less than } 10 & 0.22 \
10 \text { but less than } 15 & 0.15 \
15 \text { but less than } 20 & 0.10 \
20 \text { but less than } 25 & 0.07 \
25 \text { but less than } 30 & 0.07 \
30 \text { or more } & 0.02
\end{array}$$
-Referring to Table 2-5, if 1,000 calls were randomly sampled, how many calls lasted under 10 minutes?
A) 220
B) 370
C) 410
D) 590

Accepted Answer

The answer of TABLE 2-5
The following are the duration in...

Quiz 2: Organizing and Visualizing Data

One of the developing countries is experiencing a baby boom, with the number of births rising for the fifth year in a row, according to a BBC News report. Which of the following is best for displaying this data?

You have collected information on the market share of 5 different search engines used by U.S. Internet users in January 2011. Which of the following is the best for presenting the information?

Data on the number of credit hours of 20,000 students at a public university enrolled in a spring semester were collected. Which of the following is the best for presenting the information?

When studying the simultaneous responses to two categorical questions, you should set up a

A survey of 150 executives were asked what they think is the most common mistake candidates make during job interviews. Six different mistakes were given. Which of the following is the best for presenting the information?

Data on 1,500 students' height were collected at a larger university in the East Coast. Which of the following is the best chart for presenting the information?

Which of the following is appropriate for displaying data collected on the different brands of cars students at a major university drive?

Data on the number of part-time hours students at a public university worked in a week were collected. Which of the following is the best chart for presenting the information?