Deck 2: Summarizing and Graphing Data

Question 1

Provide an appropriate response.
Histograms and Pareto charts are both bar charts. What is the significant difference between the two?

Answer 1

Answers will vary.

Question 2

Provide an appropriate response.
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.

Answer 2

Answers will vary.

Question 3

Provide an appropriate response.
Suppose you are comparing frequency data for two different groups, 25 managers and 150 blue collar workers. Why would a relative frequency distribution be better than a frequency distribution?

Answer 3

Answers will vary.

Question 4

Solve the problem.

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

A)95.5, 99.5
B)95.5, 100.5
C)94.5, 99.5
D)94.5, 100.5

Question 5

Solve the problem.

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

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

Question 6

Solve the problem.

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

A)39.5, 59.5
B)40.5, 59.5
C)40.5, 58.5
D)39.5, 58.5

Question 7

Solve the problem.

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

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

Question 8

Solve the problem.

-Using the employment information in the table on Alpha Corporation, determine the width of each class. $$\begin{array}{l}\text { Years employed at Alpha Corporation }\\\begin{array} { c | c } \begin{array} { c } \text { Class Limits } \\\text { (years of service) }\end{array} & \begin{array} { c } \text { Frequency } \\\text { (No. of employees) }\end{array} \\\hline 1 - 5 & 5 \\6 - 10 & 20 \\11 - 15 & 25 \\16 - 20 & 10 \\21 - 25 & 5 \\26 - 30 & 3\end{array}\end{array}$$

A)5
B)10
C)6
D)4

Question 9

Provide an appropriate response.
Suppose that a data set has a minimum value of 28 and a max of 73 and that you want 5 classes. Explain how to find the class width for this frequency table. What happens if you mistakenly use a class width of 9 instead of 10?

Question 10

Provide an appropriate response.
Create an example displaying data in a pie chart. Display the same data in a Pareto chart. Which graph is more effective? List at least two reasons in support of your choice.

Question 11

Provide an appropriate response.
Describe at least two advantages to using stemplots rather than frequency distributions.

Question 12

Solve the problem.

-Using the information in the table on home sale prices in the city of Summerhill for the month of June, determine the width of each class. $$\begin{array} { c | c } \text {Class Limits}& \text {Frequency}\\ \text {(Sale price in thousands)}& \text {(No. of homes sold)}\\\hline 80.0 - 110.9 & 2 \\111.0 - 141.9 & 5 \\142.0 - 172.9 & 7 \\173.0 - 203.9 & 10 \\204.0 - 234.9 & 3 \\235.0 - 265.9 & 1\end{array}$$

A)31
B)28
C)61
D)30

Question 13

Solve the problem.

-Using the employment information in the table on Alpha Corporation, find the class midpoint for class 1-5. $$\begin{array}{l}\text { Years employed at Alpha Corporation }\\\begin{array} { c | c } \begin{array} { c } \text { Class Limits } \\\text { (years of service) }\end{array} & \begin{array} { c } \text { Frequency } \\\text { (No. of employees) }\end{array} \\\hline 1 - 5 & 5 \\6 - 10 & 20 \\11 - 15 & 25 \\16 - 20 & 10 \\21 - 25 & 5 \\26 - 30 & 3\end{array}\end{array}$$

A)3.0
B)3.5
C)5.0
D)2.5

Question 14

Construct the relative frequency distribution that corresponds to the given frequency distribution.

- $\begin{array}{r|c}\text { Scores } & \text { Frequency } \\\hline 91-100 & 5 \\81-90 & 5 \\71-80 & 7 \\61-70 & 8 \\<61 & 4\end{array}$

A)
$\begin{array}{r|r}\text { Scores } & \begin{array}{r}\text { Relative } \\\text { Frequency }\end{array} \\\hline 91-100 & 12.5 \% \\81-90 & 20.1 \% \\71-80 & 37.3 \% \\61-70 & 15.2 \% \\<61 & 14.9 \%\end{array}$
B)
$\begin{array}{r|r}\text { Scores } & \begin{array}{r}\text { Relative } \\\text { Frequency }\end{array} \\\hline 91-100 & 15.5 \% \\81-90 & 22.1 \% \\71-80 & 31.3 \% \\61-70 & 16.2 \% \\<61 & 14.9 \%\end{array}$
C)
$\begin{array}{r|r}\text { Scores } & \begin{array}{r}\text { Relative } \\\text { Frequency }\end{array} \\\hline 91-100 & 17.24 \% \\81-90 & 17.24 \% \\71-80 & 24.14 \% \\61-70 & 27.59 \% \\<61 & 13.79 \%\end{array}$
D)
$\begin{array}{r|r}\text { Scores } & \begin{array}{r}\text { Relative } \\\text { Frequency }\end{array} \\\hline 91-100 & 0.28 \% \\81-90 & 0.07 \% \\71-80 & 0.41 \% \\61-70 & 0.17 \% \\<61 & 0.07 \%\end{array}$

Question 15

Provide an appropriate response.
Draw one histogram to illustrate bell-shaped data, another for uniform data, and a third for skewed data. Which of these shapes matches the histogram for the first 100 digits of π? Does changing the number of classes alter your answer? (Below is the frequency table for the first 100 digits of π.)

Question 16

Construct a boxplot for the given data. Include values of the 5-number summary in all boxplots.

- $\begin{array}{r|r}\text { Incomes } & \text { Frequency } \\\hline 200-300 & 75 \\301-400 & 51 \\401-500 & 95 \\501-600 & 92 \\>600 & 14\end{array}$

A)
$\begin{array}{r|r}\text { Incomes } & \begin{array}{r}\text { Relative } \\\text { Frequency }\end{array} \\\hline 200-300 & 22.94 \% \\301-400 & 15.60 \% \\401-500 & 29.05 \% \\501-600 & 28.13 \% \\>600 & 4.28 \%\end{array}$
B)
$\begin{array}{r|r}\text { Incomes } & \begin{array}{r}\text { Relative } \\\text { Frequency }\end{array} \\\hline 200-300 & 28.61 \% \\301-400 & 28.40 \% \\401-500 & 4.31 \% \\501-600 & 22.66 \% \\>600 & 28.70 \%\end{array}$
C)
$\begin{array}{r|r}\text { Incomes } & \begin{array}{r}\text { Relative } \\\text { Frequency }\end{array} \\\hline 200-300 & 12.5 \% \\301-400 & 20.1 \% \\401-500 & 37.3 \% \\501-600 & 15.2 \% \\>600 & 14.9 \%\end{array}$
D)
$\begin{array}{r|c}\text { Incomes } & \begin{array}{r}\text { Relative } \\\text { Frequency }\end{array} \\\hline 201-300 & 15.5 \% \\301-400 & 22.1 \% \\401-500 & 31.3 \% \\501-600 & 16.2 \% \\>600 & 14.9 \%\end{array}$

Question 17

Solve the problem.

-Using the information in the table on home sale prices in the city of Summerhill for the month of June, find the class midpoint for class 235.0-265.9. $$\begin{array} { c | c } \text {Class Limits}& \text {Frequency}\\ \text {(Sale price in thousands)}& \text {(No. of homes sold)}\\\hline 80.0 - 110.9 & 2 \\111.0 - 141.9 & 5 \\142.0 - 172.9 & 7 \\173.0 - 203.9 & 10 \\204.0 - 234.9 & 3 \\235.0 - 265.9 & 1\end{array}$$

A)250.55
B)250.50
C)250.40
D)250.45

Question 18

Solve the problem.

-Using the employment information in the table on Alpha Corporation, find the class boundaries for class 26-30. $$\begin{array}{l}\text { Years employed at Alpha Corporation }\\\begin{array} { c | c } \begin{array} { c } \text { Class Limits } \\\text { (years of service) }\end{array} & \begin{array} { c } \text { Frequency } \\\text { (No. of employees) }\end{array} \\\hline 1 - 5 & 5 \\6 - 10 & 20 \\11 - 15 & 25 \\16 - 20 & 10 \\21 - 25 & 5 \\26 - 30 & 3\end{array}\end{array}$$

A)26.5, 30.5
B)25.5, 30.5
C)25.5, 20.5
D)26.5, 29.5

Question 19

Construct a boxplot for the given data. Include values of the 5-number summary in all boxplots.

-Using the information in the table on home sale prices in the city of Summerhill for the month of June, find the class boundaries for class 80.0-110.9. $$\begin{array} { c | c } \text {Class Limits}& \text {Frequency}\\ \text {(Sale price in thousands)}& \text {(No. of homes sold)}\\\hline 80.0 - 110.9 & 2 \\111.0 - 141.9 & 5 \\142.0 - 172.9 & 7 \\173.0 - 203.9 & 10 \\204.0 - 234.9 & 3 \\235.0 - 265.9 & 1\end{array}$$

A)79.90, 110.95
B)80.00, 110.95
C)79.95, 110.95
D)79.90, 111.0

Question 20

Provide an appropriate response.
Explain the difference between a frequency distribution and a relative frequency distribution. Comment on the differences on the vertical axis scale. Given the same data set and the same classes, will the shapes of the frequency distribution and the relative frequency distribution be the same? You may draw a diagram to support your answer.

Question 21

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. Use the histogram to answer the
question. 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 139 inclusive?

A)89%
B)39%
C)59%
D)74%

Question 22

Solve the problem.
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?

Question 23

Use the given data to construct a frequency distribution.
Lori asked 24 students how many hours they had spent doing homework during the previous week. The results are shown below.

Question 24

Construct the relative frequency distribution that corresponds to the given frequency distribution.

- $\begin{array}{c|c}\begin{array}{r}\text { Days of } \\\text { vacation }\end{array} & \text { Frequency } \\\hline 0-1 & 19 \\2-3 & 20 \\4-5 & 16 \\6-7 & 22 \\8-9 & 23\end{array}$

A)
$\begin{array}{c|c}\begin{array}{r}\text { Days of } \\\text { vacation }\end{array} & \begin{array}{c}\text { Cumulative } \\\text { Frequency }\end{array} \\\hline 0-1 & 0.19 \\2-3 & 0.2 \\4-5 & 0.16 \\6-7 & 0.22 \\8-9 & 0.23\end{array}$
B)
$\begin{array}{c|c}\begin{array}{c}\text { Days of } \\\text { vacation }\end{array} & \begin{array}{c}\text { Cumulative } \\\text { Frequency }\end{array} \\\hline 0-1 & 19 \\2-3 & 39 \\4-5 & 56 \\6-7 & 78 \\8-9 & 100\end{array}$
C)
$\begin{array}{c|c}\begin{array}{c}\text { Days of } \\\text { vacation }\end{array} & \begin{array}{c}\text { Cumulative } \\\text { Frequency }\end{array} \\\hline 0-1 & 39 \\2-3 & 55 \\4-5 & 77 \\6-7 & 100 \\8-9 & 123\end{array}$
D)
$\begin{array}{c|c}\begin{array}{r}\text { Days of } \\\text { vacation }\end{array} & \begin{array}{c}\text { Cumulative } \\\text { Frequency }\end{array} \\\hline 0-1 & 19 \\2-3 & 39 \\4-5 & 55 \\6-7 & 77 \\8-9 & 100\end{array}$

Question 25

Use the given data to construct a frequency distribution.

-A medical research team studied the ages of patients who had strokes caused by stress. The ages of 34 patients who suffered stress strokes were as follows.
$\begin{array}{l}29\quad30\quad36\quad41\quad45\quad50\quad57\quad61\quad28\quad50\quad36\quad58 \\ 60\quad38\quad36\quad47\quad40\quad32\quad58\quad46\quad61\quad40\quad55\quad32 \\ 61\quad56\quad45\quad46\quad62\quad36\quad38\quad40\quad50\quad27\end{array}$

Construct a frequency table for these ages. Use 8 classes beginning with a lower class limit of 25.
$\begin{array}{l|l}\text { Age } & \text { Frequency } \\\hline &\\\\\end{array}$

Question 26

Solve the problem.
In a survey, 20 people were asked how many magazines they had purchased during the previous year. The results are shown below. Construct a histogram to represent the data. Use 4 classes with a class width of 10, and begin with a lower class limit of -0.5. What is the approximate amount at the center?

Question 27

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. Use the histogram to answer the
question. The blood pressure readings were given to the nearest whole number.
What common class width was used to construct the frequency distribution?

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

Question 28

Solve the problem.

-Suppose that a histogram is constructed for the frequency distribution shown below: $$\begin{array} { c | c } \text { Age } & \text { Frequency } \\\hline 30 - 39 & 11 \\40 - 49 & 23 \\50 - 59 & 17 \\60 - 69 & 12 \\70 - 89 & 6\end{array}$$ The class 60-69 has twice the frequency of the class 70-89. In the histogram, will the area of the bar for the class 60-69 be twice the area of the bar for the class 70-89? In other words, will areas be proportional to frequencies in this histogram? Explain your thinking. Are there any conditions under which areas are proportional to frequencies in histograms?

Question 29

Construct the relative frequency distribution that corresponds to the given frequency distribution.

- $\begin{array}{r|r}\text { Weight (oz) } & \begin{array}{c}\text { Number } \\\text { of Stones }\end{array} \\\hline 1.2-1.6 & 5 \\1.7-2.1 & 2 \\2.2-2.6 & 5 \\2.7-3.1 & 5 \\3.2-3.6 & 13\end{array}$

A)
$\begin{array}{r|r}\text { Weight (oz) } & \begin{array}{c}\text { Cumulative } \\\text { Frequency }\end{array} \\\hline 1.2-1.6 & 5 \\1.7-2.1 & 7 \\2.2-2.6 & 12 \\2.7-3.1 & 17 \\3.2-3.6 & 30\end{array}$
B)
$\begin{array}{r|r}\text { Weight }(\mathrm{oz}) & \begin{array}{c}\text { Cumulative } \\\text { Frequency }\end{array} \\\hline 1.2-2.1 & 7 \\2.2-3.1 & 17 \\3.2-3.6 & 30\end{array}$
C)3
D)
$\begin{array}{r|c}\text { Weight }(\mathrm{oz}) & \begin{array}{c}\text { Cumulative } \\\text { Frequency }\end{array} \\\hline 1.2-1.6 & 5 \\1.7-2.1 & 7 \\2.2-2.6 & 12 \\2.7-3.1 & 17 \\3.2-3.6 & 28\end{array}$

Question 30

Solve the problem.

-Consider the frequency distribution below, which has single values as classes: $$\begin{array} { c | c } \text { Value } & \text { Frequency } \\\hline 10 & 1 \\11 & 3 \\12 & 7 \\13 & 18 \\14 & 10 \\15 & 4 \\16 & 2 \\17 & 7 \\18 & 16 \\19 & 10 \\20 & 6 \\21 & 2\end{array}$$ Construct a new frequency distribution for this data with 4 classes. Now, construct another frequency distribution for this data with 6 classes. Suppose that you construct a histogram corresponding to the original data and histograms corresponding to each of the new frequency distributions. Describe the shapes of the three histograms. Does the histogram with six classes capture the distribution of the data? Does the histogram with four classes capture the distribution of the data?

Question 31

Use the given data to construct a frequency distribution.

-Kevin asked some of his friends how many hours they had worked during the previous week at their after-school jobs. The results are shown below. $\begin{array}{llllllllllll}6 & 6 & 6 & 3 & 6 & 6 & 9 & 8 & 6 & 3 & 8 & 6 \\6 & 8 & 6 & 6 & 8 & 6 & 6 & 8 & 6 & 8 & 8 & 3\end{array}$
Construct a frequency table. Use 4 classes, a class width of 2 hours, and a lower limit of 3 for class 1. $$\begin{array} { l | l } \text { Hours } & \text { Frequency } \\\hline\\\\\end{array}$$

Question 32

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. Use the histogram to answer the
question. The blood pressure readings were given to the nearest whole number.
Identify the center of the third class.

A)130
B)120
C)124
D)125

Question 33

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. Use the histogram to answer the
question. 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?

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

Question 34

Use the given data to construct a frequency distribution.
On a math test, the scores of 24 students were

Question 35

Solve the problem.

-Suppose that you construct a histogram and a relative frequency histogram corresponding to a particular frequency table. In what ways will the two histograms be similar? In what ways will they differ?

Question 36

Use the given data to construct a frequency distribution.
The following figures represent Jennifer's monthly charges for long distance telephone calls for the past twelve months.

Question 37

Construct the relative frequency distribution that corresponds to the given frequency distribution.

- $\begin{array}{r|r}\text { Speed } & \begin{array}{r}\text { Number } \\\text { of balls }\end{array} \\\hline 0-29 & 4 \\30-59 & 16 \\60-89 & 60 \\90-120 & 20\end{array}$

A)
$\begin{array}{c|c}\text { Speed } & \begin{array}{c}\text { Cumulative } \\\text { Frequency }\end{array} \\\hline 0-29 & .04 \\30-59 & .20 \\60-89 & .80 \\90-120 & 100\end{array}$
B)
$\begin{array}{r|c}\text { Speed } & \begin{array}{c}\text { Cumulative } \\\text { Frequency }\end{array} \\\hline 0-29 & 100 \\30-59 & 80 \\60-89 & 82 \\90-120 & 4\end{array}$
C)
$\begin{array}{r|r} & \text { Cumulative } \\\text { Speed } & \text { Frequency } \\\hline 0-29 & 4 \\30-59 & 20 \\60-89 & 80 \\90-120 & 100\end{array}$
D) $\text { None of the above }$

Question 38

Provide an appropriate response.

-Consider the frequency distribution below, which has single values as classes: $$\begin{array} { c | c } \text { Value } & \text { Frequency } \\\hline 10 & 1 \\11 & 3 \\12 & 7 \\13 & 18 \\14 & 10 \\15 & 4 \\16 & 2 \\17 & 7 \\18 & 16 \\19 & 10 \\20 & 6 \\21 & 2\end{array}$$
Describe the distribution of the data. Use this frequency distribution to create two new frequency distributions for the data, one with four classes of equal width and one with six classes of equal width. Does the frequency distribution with four classes capture the distribution of the data? Does the frequency distribution with six classes capture the distribution of the data? Explain your thinking.

Question 39

Provide an appropriate response.
Sturges' guideline suggests that when constructing a frequency distribution, the ideal number of classes can be approximated by 1 + (log n)/(log 2), where n is the number of data values. Use this guideline to find the ideal number of classes when the number of data values is 122.

A)10
B)7
C)9
D)8

Question 40

Solve the problem.
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.

Question 41

Use the circle graph to solve the problem.

-The pie chart below gives the number of students in the residence halls at the state university.
Write the ratio of the number of residents at Fisher to the number of students at Carver.

A) $\frac { 49 } { 30 }$
B) $\frac { 7 } { 30 }$
C) $\frac { 49 } { 31 }$
D) $\frac { 31 } { 49 }$

Question 42

Construct the cumulative frequency distribution that corresponds to the given frequency distribution.

-Attendance records at a school show the number of days each student was absent during the year. The days absent for each student were as follows. $$\begin{array} { l l l l l l l l l l l l l l } 02 & 2 & 4 & 2 & 4 & 4 & 7 & 2 & 4 & 6\end{array}$$

A)

B)

C)

D)

Question 43

Use the circle graph to solve the problem.
A survey of the 4960 vehicles on the campus of State University yielded the following pie chart. Together, what percent of the vehicles are either vans or convertibles?

A)5%
B)23%
C)14%
D)126%

Question 44

Use the circle graph to solve the problem.
The pie chart below gives the number of students in the residence halls at the state university. Which residence hall has the third highest number of students?

A)Dodge
B)Adams
C)Carver
D)Fisher

Question 45

Find the original data from the stem-and-leaf plot.

- $\begin{array}{r|c}\text { stem } & \text { Leaves } \\\hline 49 & 158 \\50 & 139 \\51 & 18\end{array}$

A) $50,54,57,51,53,59,52,59$
B) $491,495,508,501,503,509,511,528$
C) $49158,50139,5118$
D) $491,495,498,501,503,509,511,518$

Question 46

Use the circle graph to solve the problem.
The pie chart shows the percent of the total population of 54,400 of Springfield living in the given types of housing. Round your result to the nearest whole number. Find the number of people who live in townhouses.

A)49,504 people
B)7616 people
C)4896 people
D)9 people

Question 47

Construct the cumulative frequency distribution that corresponds to the given frequency distribution.

- $$\begin{array} { c | c } \text { Stem } & \text { Leaves } \\\hline 4 - 5 & 8 ^ { * } 1 \\6 - 7 & 1 ^ { * } 8 \\8 - 9 & 13 ^ { * } 8\end{array}$$

A)4, 8, 5, 1, 6, 3, 6 8, 8 1, 8 3, 8 8
B)48, 51, 61, 78, 81, 83, 98
C)48, 41, 51, 61, 71, 81, 93, 98
D)48, 51, 61, 68, 78, 81, 83, 108

Question 48

Construct the cumulative frequency distribution that corresponds to the given frequency distribution.

-A store manager counts the number of customers who make a purchase in his store each day. The data are as follows.
10&nbsp;11&nbsp;8&nbsp;14&nbsp;7&nbsp;10&nbsp;10&nbsp;11&nbsp;8&nbsp;7

A)

B)

C)

D)

Question 49

Use the circle graph to solve the problem.
The pie chart below gives the inventory of the men's department of a store. In which item of apparel does the store have the smallest investment?

A)Socks
B)Underwear
C)Shirts
D)Suits

Question 50

Find the original data from the stem-and-leaf plot.

- $$\begin{array} { r | c } \text { Stem } & \text { Leaves } \\\hline 25 & 5094 \\26 & 112172 \\27 & 5094\end{array}$$

A)2550, 2594, 2611, 2621, 2672, 2750, 2794
B)75, 119, 37, 47, 98, 77, 121
C)75, 119, 47, 47, 98, 77, 121
D)2550, 2551, 2612, 2621, 2672, 2750, 2795

Question 51

Construct the cumulative frequency distribution that corresponds to the given frequency distribution.

-The following data represent the number of cars passing through a toll booth during a certain time period over a number of days. 38&nbsp;39&nbsp;37&nbsp;37&nbsp;44&nbsp;38&nbsp;41&nbsp;38&nbsp;39&nbsp;35&nbsp;42&nbsp;39&nbsp;43&nbsp;37&nbsp;41

A)

B)

C)

D)

Question 52

Find the original data from the stem-and-leaf plot.

- $\begin{array}{c|c}\text { Stem } & \text { Leaves } \\\hline 3 & 59 \\4 & 19 \\5 & 55\end{array}$

A) $35,39,41,41,55,55$
B) $31,35,31,49,59,55$
C) $35,31,39,41,51,55$
D) $35,39,41,49,55,55$

Question 53

Use the circle graph to solve the problem.
A survey of the 7095 vehicles on the campus of State University yielded the following pie chart. Find the number of pickups. Round your result to the nearest whole number.

A)26
B)5250
C)2199
D)1845

Question 54

Use the circle graph to solve the problem.
The pie chart below gives the inventory of the women's department of a store. What is the total inventory?

A)$71,643
B)$48,597
C)$70,140
D)$68,637

Question 55

Solve the problem.
The frequency table below shows the amount of weight loss during the first month of a diet program for both males and females. Compare the results and determine whether there appears to be a significant difference between the two genders.

Question 56

Use the circle graph to solve the problem.
A survey of the 5589 vehicles on the campus of State University yielded the following pie chart. What percent of the vehicles are hatchbacks?

A)201%
B)8%
C)36%
D)25%

Question 57

Solve the problem.
The data shows the roundtrip mileage that 43 randomly selected professors and students drive to school each day. Compare the results and determine whether there appears to be any significant difference between the two groups.

Question 58

Find the original data from the stem-and-leaf plot.

- $\begin{array}{c|c}\text { Stem } & \text { Leaves } \\\hline 6 & 17 \\7 & 1135 \\8 & 13379 \\9 & 35\end{array}$

A) $63,63,65,71,71,73,75,81,81,93,95$
B) $61,67,71,71,73,75,81,83,83,87,89,93,95$
C) $61,67,73,73,75,83,85,87,89,93,95$
D) $7,13,7,7,9,11,9,9,11,15,17,12,14,15$

Question 59

Construct the cumulative frequency distribution that corresponds to the given frequency distribution.

-A manufacturer records the number of errors each work station makes during the week. The data are as follows.

6&nbsp; 3&nbsp;2&nbsp;3&nbsp;5&nbsp;2&nbsp;0&nbsp;2&nbsp;5&nbsp;4&nbsp;2&nbsp;0&nbsp;1

A)

B)

C)

D)

Question 60

Find the original data from the stem-and-leaf plot.

- $$\begin{array} { r | c } \text { Stem } & \text { Leaves } \\\hline 7.7 & 18 \\7.8 & 88 \\7.9 & 188\end{array}$$

A)7.71, 7.72, 7.88, 7.88, 7.95, 7.98, 7.98
B)7.71, 7.78, 7.88, 7.88, 7.91, 7.98, 7.98
C)0.87, 1.57, 1.58, 1.58, 0.89, 1.59, 1.59
D)0.87, 0.87, 1.58, 1.58, 1.58, 0.89, 1.59, 1.6

Question 61

Solve the problem.

-The Kappa Iota Sigma Fraternity polled its members on the weekend party theme. The vote was as follows: six for toga, four for hayride, eight for beer bash, and two for masquerade. Display the vote count in a Pareto chart.

A)
B)
C)
D)

Question 62

Solve the problem.

-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. $$\begin{array} { r | r } \text { Cause } & \text { Frequency } \\\hline \text { education } & 19.5 \\\text { drugs } & 58.5 \\\text { family } & 39 \\\text { poverty } & 68.25 \\\text { other } & 9.75\end{array}$$ Make a Pareto chart to display these findings.

A)

B)

C)

D)

Question 63

Construct a pie chart representing the given data set.

-The following figures give the distribution of land (in acres)for a county containing 82,000 acres. $\begin{array}{ccc}\text { Forest } & \text { Farm } & \text { Urban } \\12,300 & 8200 & 61,500\end{array}$

A)
B)

Question 64

Construct the dot plot for the given data.

-The attendance counts for this season's basketball games are listed below. $\begin{array}{llll}227 & 239 & 215 & 219 \\221 & 233 & 229 & 233 \\235 & 228 & 245 & 231\end{array}$

A)
$\begin{array}{l|ll}21 & 5 79 \\22 & 189 \\23 & 13359 \\24 & 5\end{array}$
B)
$\begin{array}{l|l}21 & 59 \\22 & 1789 \\23 & 13359 \\24 & 5\end{array}$

Question 65

Construct the dot plot for the given data.

-The ages of the 45 members of a track and field team are listed below. Construct an expanded stemplot with about 8 rows. $\begin{array} { l l l l l l l l l l l l l l l } 21 & 18 & 42 & 35 & 32 & 21 & 44 & 25 & 38 & 48 & 14 & 19 & 23 & 22 & 28 \end{array}$
$\begin{array} { l l l l l l l l l l l l l l l } 32 & 34 & 27 & 31 & 17 & 16 & 41 & 37 & 22 & 24 & 33 & 32 & 21 & 26 & 30 \end{array}$
$\begin{array} { l l l l l l l l l l l l l l l } 22 & 27 & 32 & 30 & 20 & 18 & 17 & 21 & 15 & 26 & 36 & 31 & 40 & 16 & 25 \end{array}$

A)
$\begin{array}{l|l}1 & 4 \\1 & 56677889 \\2 & 0111122234 \\2 & 5566778 \\3 & 0011222234 \\3 & 5678 \\4 & 0124 \\4 & 8\end{array}$
B)
$\begin{array}{l|l}1 & 45 \\1 & 56677889 \\2 & 011112223455 \\2 & 5566778 \\3 & 00112222345 \\3 & 5678 \\4 & 0124 \\4 & 8\end{array}$

Question 66

Use the data to create a stemplot.

-A car dealer is deciding what kinds of vehicles he should order from the factory. He looks at his sales report for the preceding period. Choose the vertical scale so that the relative frequencies are represented.
$$\begin{array} { r | r } \text { Vehicle } & \text { Sales } \\\hline \text { Economy } & 32 \\\text { Sports } & 8 \\\text { Family } & 56 \\\text { Luxury } & 16 \\\text { Truck } & 48\end{array}$$ Construct a Pareto chart to help him decide.

A)
B)
C)
D)

Question 67

Construct a pie chart representing the given data set.

- $\begin{array}{ccccccccc}x&-6 & 7 & 7 & 7 & 5 & 6 & 2 & -1 & -6 \\y&2 & 7 & 11 & 8 & 9 & 11 & 6 & 3 & 2\end{array}$

A)
B)
C)
D)

Question 68

Construct the dot plot for the given data.

-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. $\begin{array}{l}\begin{array} { l l l l l l } \text { Women: } & 128 & 150 & 118 & 166 & 142 \\&122 & 137 & 110 & 175 & 152 \\&145 & 126 & 139 & 111 & 170\\\\\text { Men: } & 140 & 153 & 199 & 186 & 169 \\& 136 & 176 & 162 & 196 & 155 \\& 173 & 190 & 141 & 166 & 153\end{array}\end{array}$

A)
$\begin{array}{r|c|l}\text { Men } & & \text { Women } \\\hline & 11&018\\&12&268\\6&13&79\\10&14&25\\533&15&02\\962&16&6\\63&17&05\\6&18\\960&19\end{array}$

B)
$\begin{array}{r|c|l}\text { Men } & & \text { Women } \\\hline & 11&01\\&12&268\\6&13&79\\10&14&25\\533&15&024\\962&16&6\\63&17&05\\96&18\\96&19\end{array}$

Question 69

Construct a pie chart representing the given data set.

- $\begin{array}{lllllllllll}x & 1 & -3 & -3 & -2 & 3 & 5 & -1 & 8 & -4 & -1 \\y & -4 & -6 & -7 & 2 & 3 & 3 & -6 & 3 & -3 & -3\end{array}$

A)
B)
C)
D)

Question 70

Construct the dot plot for the given data.

-The following data show the number of laps run by each participant in a marathon. $\begin{array} { l l l l l l l l l l l } 46 & 65 & 43 & 51 & 48 & 57 & 30 & 43 & 49 & 32 & 56 \end{array}$

A)
$\begin{array} { l | l } 3 & 02 \\4 & 3689 \\4 & 13567 \\6 & 5\end{array}$
B)
$\begin{array} { l | l } 3 & 02 \\4 & 33689 \\5 & 1567 \\6 & 5\end{array}$

Question 71

Use the data to create a stemplot.

-The following data give the distribution of the types of houses in a town containing 30,000 houses.
$\begin{array} { c c r } \text { Capes } & \text { Garrisons } & \text { Splits } \\ 7500 & 10,500 & 12,000 \end{array}$

A)
B)

Question 72

Construct the dot plot for the given data.

-The normal monthly precipitation (in inches)for August is listed for 39 different U.S. cities. Construct an expanded stemplot with about 9 rows. $\begin{array} { l l l l l l l l l l l l l } 3.5 & 1.6 & 2.4 & 3.7 & 4.1 & 3.9 & 1.0 & 3.6 & 1.7 & 0.4 & 3.2 & 4.2 & 4.1 \end{array}$
$\begin{array} { l l l l l l l l l l l l l l } 4.2 & 3.4 & 3.7 & 2.2 & 1.5 & 4.2 & 3.4 & 2.7 & 4.0 & 2.0 & 0.8 & 3.6 & 3.7 \end{array}$
$\begin{array} { l l l l l l l l l l l l l } 0.4 & 3.7 & 2.0 & 3.6 & 3.8 & 1.2 & 4.0 & 3.1 & 0.5 & 3.9 & 0.1 & 3.5 & 3.4 \end{array}$

A)
$\begin{array}{l|l}0 . & 01444 \\0 . & 58 \\1 . & 02 \\1 . & 567 \\2 . & 0024 \\2 . & 777 \\3 . & 12444 \\3 . & 556667789 \\4 . & 0011222\end{array}$
B)
$\begin{array}{l|l}0 . & 144 \\0 . & 58 \\1 . & 02 \\1 . & 567 \\2 . & 0024 \\2 . & 7 \\3 . & 12444 \\3 . & 556667777899 \\\text { 4. } & 0011222\end{array}$

Question 73

Construct the dot plot for the given data.

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

A)
$\begin{array}{l|l}13 & 135 \\14 & 0124478 \\15 & 1223699 \\16 & 04 \\17 & 125\end{array}$
B)
$\begin{array}{l|ll}13 & 135 \\14 & 1223699 \\15 & 0124478 \\16 & 04 \\17 & 125\end{array}$

Question 74

Construct the dot plot for the given data.

-The midterm test scores for the seventh-period typing class are listed below. 85&nbsp;77&nbsp;93&nbsp;91&nbsp;74&nbsp;65&nbsp;68&nbsp;97&nbsp;88&nbsp;59&nbsp;74&nbsp;83&nbsp;85&nbsp;72&nbsp;63&nbsp;79

A) $\begin{array}{l|l}5 & 9 \\6 & 358 \\7 & 3558 \\8 & 24479 \\9 & 137\end{array}$

B) $\begin{array}{l|l}5 & 9 \\6 & 358 \\7 & 24479 \\8 & 3558 \\9 & 137\end{array}$

Question 75

Solve the problem.

-Wagenlucht Ice Cream Company is always trying to create new flavors of ice cream. They are market testing three kinds to find out which one has the best chance of becoming popular. They give small samples of each to 50 people at a grocery store. 10 ice cream tasters preferred the Strawberry Cream, 30 preferred Choco-Nuts, and 10 loved the Orange Mint. Construct a Pareto chart to represent these preferences. Choose the vertical scale so that the relative frequencies are represented.

A)
B)
C)
D)

Question 76

Solve the problem.

-260 casino patrons, were interviewed as they left the casino. 78 of them said they spent most of the time playing the slots. 78 of them said they played blackjack. 39 said they played craps. 13 said roulette. 13 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.

A)
B)
C)
D)

Question 77

Construct a pie chart representing the given data set.

- $\begin{array}{ccccccccc}x & 0.25 & 0.47 & 0.32 & 0.63 & -0.27 & 0.25 & 0.15 & 0.32 \\\text { ? } & 0.44 & 0.56 & -0.04 & 0.52 & -0.68 & 0.9 & 0.88 & 0.19\end{array}$

A)
B)
C)
D)

Question 78

Use the data to create a stemplot.

-After reviewing a movie, 800 people rated the movie as excellent, good, or fair. The following data give the rating distribution. $\begin{array}{ccl}\text { Excellent } & \text { Good } & \text { Fair } \\160 & 400 & 240\end{array}$

A)
B)

Question 79

Construct the dot plot for the given data.

-Twenty-four workers were surveyed about how long it takes them to travel to work each day. The data below are given in minutes. $\begin{array}{lllllllllll}20&35 & 42 & 52 & 65 & 20 & 60 & 49 & 24 & 37 & 23 & 24 \\22&20 & 41 & 25 & 28 & 27 & 50 & 47 & 58 & 30 & 32 & 48\end{array}$

A)
$\begin{array}{l|l}2 & 000234457 \\3 & 02578 \\4 & 12789 \\5 & 028\\6&05\end{array}$
B)
$\begin{array}{l|l}2 & 0002344578 \\3 & 0257 \\4 & 12789 \\5 & 028\\6&05\end{array}$

Question 80

Construct the dot plot for the given data.

-The frequency chart shows the distribution of defects for the machines used to produce a product.
$\begin{array}{c|c}\text { Defects } & \text { Frequency } \\\hline 0 & 1 \\1 & 3 \\2 & 0 \\3 & 2 \\4 & 4 \\5 & 0\end{array}$

A)

B)

C)

D)