Question 1

In a survey, 26 voters were asked their ages. The results are shown below. Construct a histogram to represent the data (with 5 classes beginning with a lower class limit of 19.5 and a class width of 10). What is the approximate age at the center? $$\begin{array} { l l l l l l l l l l l l l } 
43 & 56 & 28 & 63 & 67 & 66 & 52 & 48 & 37 & 51 & 40 & 60 & 62 \
66 & 45 & 21 & 35 & 49 & 32 & 53 & 61 & 53 & 69 & 31 & 48 & 59
\end{array}$$

Accepted Answer

The answer of In a survey, 26 voters were asked...

Question 2

The following data consists of the weights (in pounds) of 15 randomly selected women and the weights of 15 randomly selected men. Construct a back-to-back stemplot for the data. $$\begin{array}{l}
\begin{array} { r l l l l l } 
\text { Women: } & 128 & 150 & 118 & 166 & 142 \
&122 & 137 & 110 & 175 & 152 \
&145 & 126 & 139 & 111 & 170
\\
\text { Men: } & 140 & 153 & 199 & 186 & 169 \
& 136 & 176 & 162 & 196 & 155 \
& 173 & 190 & 141 & 166 & 153
\end{array}\
\end{array}$$

Accepted Answer

A) 
$\begin{array}{ll|l|lll}
\text { Men } & &&& \text { Women } \
\hline & & 11 & 0 & 1 & 8 \
& & 12 & 2 & 6 & 8 \
& & 6 & 13 & 7 & 9 \
& 1 & 0 & 14 & 2 & 5 \
5 & 3 & 3 & 15 & 0 & 2 \
9 & 6 & 2 & 16 & 6 & \
& 6 & 3 & 17 & 0 & 5 \
& & 6 & 18 & & \
9 & 6 & 0 & 19 & &
\end{array}$ 
B) 
$\begin{array}{lll|l|lll}
\text { Men } & &&& \text { Women } \
\hline & & &11&0&1\
&&&12&2&6&8\&&6&13&7&9\&1&0&14&2&5\5&3&3&15&0&2&4\9&6&2&16&6&\&6&3&17&0&5\&9&6&18\&9&6&19\
\end{array}$

Question 3

A nurse measured the blood pressure of each person who visited her clinic. Following is a relative-frequency histogram for the systolic blood pressure readings for those people aged between 25 and 40. The blood pressure readings were given to the nearest whole number.
Approximately what percentage of the people aged 25-40 had a systolic blood pressure reading between 110 and 119 inclusive?

Accepted Answer

A)  3.5% 
B)  35% 
C)  30% 
D)  0.35%

Question 4

At the National Criminologists Association's annual convention, participants filled out a questionnaire asking what they thought was the most important cause for criminal behavior. The Tally was as follows. 
$$\begin{array} { r | r } 
\text { Cause } & \text { Frequency } \
\hline \text { education } & 47.1 \
\text { drugs } & 141.3 \
\text { family } & 94.2 \
\text { poverty } & 164.85 \
\text { other } & 23.55
\end{array}$$
 
Construct a Pareto chart to display these findings.

Accepted Answer

A) 
 
B) 
 
C) 
 
D)

Question 5

A college student wants to purchase one of two stocks. She has the average annual high values for each of these stocks over the most recent ten-year period. For comparison, she decides to sketch a time-series graph. How should she prepare her graph, and what should she look for?

Accepted Answer

The answer of A college student wants to purchase one...

Question 6

Use the given paired data to construct a scatterplot.
-$\begin{array}{lccccccccc}
x & -4 & 2 & 8 & 10 & 12 & 8 & 5 & -3 & -2 \
y & 3 & 7 & 11 & 10 & 9 & 6 & 7 & 3 & 2
\end{array}$

Accepted Answer

A) 
 
B) 
 
C) 
 
D)

Question 7

Construct a frequency distribution and the corresponding histogram in which the following conditions are satisfied:
- The frequency for the second class is twice the frequency of the first class.
- In the histogram, the area of the bar corresponding to the second class is four times the area of the bar corresponding to the first class.

Accepted Answer

The answer of Construct a frequency distribution and the corresponding...

Question 8

The scores on a recent statistics test are given in the frequency distribution below. Construct the corresponding relative frequency distribution. Round relative frequencies to the nearest hundredth of a percent if necessary. 
$\begin{array}{c|c}
\text { Scores } & \text { Frequency } \
\hline 0-60 & 5 \
61-70 & 10 \
71-80 & 8 \
81-90 & 6 \
91-100 & 2
\end{array}$

Accepted Answer

A) 
$\begin{array}{c|c}
\text { Scores } & \begin{array}{r}
\text { Relative } \
\text { Frequency }
\end{array} \
\hline 0-60 & 0.26 \% \
61-70 & 0.23 \% \
71-80 & 0.42 \% \
81-90 & 0.10 \% \
91-100 & 0.00 \%
\end{array}$ 
B) 
$\begin{array}{c|c}
\text { Scores } & \begin{array}{r}
\text { Relative } \
\text { Frequency }
\end{array} \
\hline 0-60 & 15.5 \% \
61-70 & 22.1 \% \
71-80 & 31.3 \% \
81-90 & 16.2 \% \
91-100 & 14.9 \%
\end{array}$ 
C) 
$\begin{array}{c|c}
\text { Scores } & \begin{array}{r}
\text { Relative } \
\text { Frequency }
\end{array} \
\hline 0-60 & 16.13 \% \
61-70 & 32.26 \% \
71-80 & 25.81 \% \
81-90 & 19.35 \% \
91-100 & 6.45 \%
\end{array}$ 
D) 
$\begin{array}{c|c}
\text { Scores } & \begin{array}{r}
\text { Relative } \
\text { Frequency }
\end{array} \
\hline 0-60 & 12.5 \% \
61-70 & 20.1 \% \
71-80 & 37.3 \% \
81-90 & 15.2 \% \
91-100 & 14.9 \%
\end{array}$

Question 9

The frequency distribution for the weekly incomes of students with part-time jobs is given below. Construct the corresponding relative frequency distribution. Round relative frequencies to the nearest hundredth of a percent if necessary. 
$\begin{array}{r|c}
\text { Income (\$) } & \text { Frequency } \
\hline 200-300 & 61 \
301-400 & 51 \
401-500 & 87 \
501-600 & 88 \
\text { More than } 600 & 20
\end{array}$

Accepted Answer

A) 
$\begin{array}{r|r}
\text { Income (\$) } & \begin{array}{r}
\text { Relative } \
\text { Frequency }
\end{array} \
\hline 201-300 & 15.5 \% \
301-400 & 22.1 \% \
401-500 & 31.3 \% \
501-600 & 16.2 \% \
\text { More than600 } & 14.9 \%
\end{array}$ 
B) 
$\begin{array}{r|r}
\text { Income (\$) } & \begin{array}{r}
\text { Relative } \
\text { Frequency }
\end{array} \
\hline 200-300 & 27.88 \% \
301-400 & 28.95 \% \
401-500 & 6.56 \% \
501-600 & 19.61 \% \
\text { More than } 600 & 27.97 \%
\end{array}$ 
C) 
$\begin{array}{r|r}
\text { Income (\$) } & \begin{array}{r}
\text { Relative } \
\text { Frequency }
\end{array} \
\hline 200-300 & 12.5 \% \
301-400 & 20.1 \% \
401-500 & 37.3 \% \
501-600 & 15.2 \% \
\text { More than } 600 & 14.9 \%
\end{array}$ 
D) 
$\begin{array}{r|r}
\text { Income (\$) } & \begin{array}{r}
\text { Relative } \
\text { Frequency }
\end{array} \
\hline 200-300 & 19.87 \% \
301-400 & 16.61 \% \
401-500 & 28.34 \% \
501-600 & 28.66 \% \
\text { More than } 600 & 6.51 \%
\end{array}$

Question 10

A nurse measured the blood pressure of each person who visited her clinic. Following is a relative-frequency histogram for the systolic blood pressure readings for those people aged between 25 and 40. The blood pressure readings were given to the nearest whole number. What class width was used to construct the relative frequency distribution?

Accepted Answer

A)  9 
B)  11 
C)  100 
D)  10

Question 11

Use the given data to construct a frequency distribution.
-A school district performed a study to find the main causes leading to its students dropping out of school. Thirty cases were analyzed, and a primary cause was assigned to each case. The causes included unexcused absences (U), illness (I), family problems (F), and other causes (O). The results for the thirty cases are listed below:
 $\begin{array} { c c c c c c c c c c } \mathrm { U } & \mathrm { U } & \mathrm { U } & \mathrm { I } & \mathrm { F } & \mathrm { O } & \mathrm { O } & \mathrm { U } & \mathrm { I } & \mathrm { F } \ \mathrm { F } & \mathrm { O } & \mathrm { U } & \mathrm { I } & \mathrm { I } & \mathrm { F } & \mathrm { I } & \mathrm { I } & \mathrm { O } & \mathrm { U } \ \mathrm { I } & \mathrm { F } & \mathrm { F } & \mathrm { U } & \mathrm { U } & \mathrm { I } & \mathrm { I } & \mathrm { O } & \mathrm { F } & \mathrm { U } \end{array}$
Construct a table summarizing the frequency distribution of the primary causes leading to student dropout.
$\begin{array}{l|l}
\text { Cause } & \text { Frequency } \
\hline & \
&
\end{array}$

Accepted Answer

The answer of Use the given data to construct a...

Question 12

The histogram below represents the number of television sets per household for a sample of U.S. households. What is the class width?

Accepted Answer

A)  0.5 
B)  5 
C)  1 
D)  2

Question 13

One purpose of displaying data graphically is to provide clues about trends. The given values are weights (ounces) of steaks listed on a restaurant menu as "20 ounce porterhouse" steaks. The weights are supposed to be 21 ounces because they supposedly lose an ounce when cooked. Create a frequency distribution with 5 classes. Based on your distribution, comment on the advertised "20 ounce" steaks. $$\begin{array} { l l l l l l l l l l l l l l l l l l l l } 
17 & 20 & 21 & 18 & 20 & 20 & 20 & 18 & 19 & 19 & 20 & 19 & 21 & 20 & 18 & 20 & 20 & 19 & 18 & 19
\end{array}$$

Accepted Answer

The answer of One purpose of displaying data graphically is...

Question 14

Use the data to create a stemplot.
-Twenty-four workers were surveyed about how long it takes them to travel to work each day. The data below are given in minutes.

$\begin{array}{llllllllllll}
20 & 35 & 42 & 52 & 65 & 20 & 60 & 49 & 24 & 37 & 23 & 24 \
22 & 20 & 41 & 25 & 28 & 27 & 50 & 47 & 58 & 30 & 32 & 48
\end{array}$

Accepted Answer

A) 
$\begin{array}{l|l}
2 & 0000234457 \
3 & 02578 \
4 & 12789 \
5 & 028 \
6 & 05
\end{array}$ 
B) 
$\begin{array}{l|lll}
2 & 0  0  02344578 \
3 & 02557 \
4 & 12789 \
5 & 028 \
6 & 05
\end{array}$

Question 15

The data shows the roundtrip mileage that 43 randomly selected students drive to school each day. Construct a frequency polygon. Applying a loose interpretation of the requirements for a normal distribution, do the mileages appear to be normally distributed? Why or why not? $$\begin{array} { c | c } 
\text { Miles } & \text { Frequency } \
\hline 10 - 14 & 0 \
15 - 19 & 6 \
20 - 24 & 9 \
25 - 29 & 21 \
30 - 34 & 7
\end{array}$$

Accepted Answer

The answer of The data shows the roundtrip mileage that...

Question 16

The following frequency distribution analyzes the scores on a math test. Find the class midpoint of scores interval 40-59.
 $$\begin{array} { c c } 
\hline \text { Scores } & \text { Number of students } \
\hline 40 - 59 & 2 \
60 - 75 & 4 \
76 - 82 & 6 \
83 - 94 & 15 \
95 - 99 & 5 \
\hline
\end{array}$$

Accepted Answer

A)  50.5 
B)  49.0 
C)  49.5 
D)  48.5

Question 17

300 casino patrons, were interviewed as they left the casino. 90 of them said they spent most of the time playing the slots. 90 of them said they played blackjack. 45 said they played craps. 15 said roulette. 15 said poker. The rest were not sure what they played the most. Construct a Pareto chart to depict the gaming practices of the group of casino goers. Choose the vertical scale so that the relative frequencies are represented.

Accepted Answer

A) 
 
B) 
 
C) 
 
D)

Question 18

The weights of 22 members of the varsity football team are listed below.

$\begin{array}{lllllllllll}
144 & 152 & 142 & 151 & 160 & 152 & 131 & 164 & 141 & 153 & 140\144 & 175 & 156 & 147 & 133 & 172 & 159 & 135 & 159 & 148 & 171
\end{array}$

Accepted Answer

A) 
$\begin{array} { l|lll  } 
13&1&3&5\14&0&1&2&4&4&7&8\15&1&2&2&3&6&9&9\16&0&4\17&1&2&5
\end{array}$ 
B) 
$\begin{array} { l|lll  } 
13&1&3&5\14&1&2&2&3&6&9&9\15&0&1&2&4&4&7&8\16&0&4\17&1&2&5
\end{array}$

Question 19

A television manufacturer sold three times as many televisions in 2005 as it did in 1995. To illustrate this fact, the manufacturer draws a graph as shown below. The television on the right is three times as tall and three times as wide as the television on the left. Why is this graph misleading? What visual impression is created by the graph?

Accepted Answer

The answer of A television manufacturer sold three times as...

Question 20

The following frequency distribution analyzes the scores on a math test. Find the class midpoint of scores interval 95-99. 
$$\begin{array} { c c } 
\hline \text { Scores } & \text { Number of students } \
\hline 40 - 59 & 2 \
60 - 75 & 4 \
76 - 82 & 6 \
83 - 94 & 15 \
95 - 99 & 5 \
\hline
\end{array}$$

Accepted Answer

A)  97.0 
B)  97.5 
C)  98.0 
D)  96.5

Exam 2: Summarizing and Graphing Data

A college student wants to purchase one of two stocks. She has the average annual high values for each of these stocks over the most recent ten-year period. For comparison, she decides to sketch a time-series graph. How should she prepare her graph, and what should she look for?

The histogram below represents the number of television sets per household for a sample of U.S. households. What is the class width?

The following frequency distribution analyzes the scores on a math test. Find the class midpoint of scores interval 40-59. $\begin{array} { c c } \hline \text { Scores } & \text { Number of students } \\\hline 40 - 59 & 2 \\60 - 75 & 4 \\76 - 82 & 6 \\83 - 94 & 15 \\95 - 99 & 5 \\\hline\end{array}$

The weights of 22 members of the varsity football team are listed below. $\begin{array}{lllllllllll}144 & 152 & 142 & 151 & 160 & 152 & 131 & 164 & 141 & 153 & 140\\144 & 175 & 156 & 147 & 133 & 172 & 159 & 135 & 159 & 148 & 171\end{array}$

The following frequency distribution analyzes the scores on a math test. Find the class midpoint of scores interval 95-99. $\begin{array} { c c } \hline \text { Scores } & \text { Number of students } \\\hline 40 - 59 & 2 \\60 - 75 & 4 \\76 - 82 & 6 \\83 - 94 & 15 \\95 - 99 & 5 \\\hline\end{array}$

Exam 2: Summarizing and Graphing Data

A college student wants to purchase one of two stocks. She has the average annual high values for each of these stocks over the most recent ten-year period. For comparison, she decides to sketch a time-series graph. How should she prepare her graph, and what should she look for?

Use the given paired data to construct a scatterplot. - x−428101285−3−2y37111096732\begin{array}{lccccccccc}x & -4 & 2 & 8 & 10 & 12 & 8 & 5 & -3 & -2 \\y & 3 & 7 & 11 & 10 & 9 & 6 & 7 & 3 & 2\end{array}xy​−43​27​811​1010​129​86​57​−33​−22​

The histogram below represents the number of television sets per household for a sample of U.S. households. What is the class width?