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

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 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

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

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) $\begin{array}{r|r} \text { Scores } & \begin{array}{r} \text { Relative } \\ \text { Frequency } \end{array} \\ \hline 91-100 & 0.28 \% \\ 81-90 & 0.07 \% \\ 71-80 & 0.41 \% \\ 61-70 & 0.17 \% \\ <61 & 0.07 \% \end{array}$ 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) $\begin{array}{r|r} \text { Scores } & \begin{array}{r} \text { Relative } \\ \text { Frequency } \end{array} \\ \hline 91-100 & 0.28 \% \\ 81-90 & 0.07 \% \\ 71-80 & 0.41 \% \\ 61-70 & 0.17 \% \\ <61 & 0.07 \% \end{array}$

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

Solve the problem. -Use the high closing values of Naristar Inc. stock from the years 1992 - 2003 to construct a time-series graph. (Let x = 0 stand for 1992 and so on...)Identify a trend. \[\begin{array} { l | l | l | l } \text { Year } & \text { High } & \text { Year } & \text { High } \\ \hline 1992 & 48 & 1998 & 62 \\ 1993 & 53 & 1999 & 60 \\ 1994 & 47 & 2000 & 68 \\ 1995 & 55 & 2001 & 42 \\ 1996 & 58 & 2002 & 51 \\ 1997 & 61 & 2003 & 78 \end{array}\]

@#IMG-DLM& There seems to be a general

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

Exam 2: Summarizing and Graphing Data

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.

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Question 21

Solve the problem. -Suppose that a histogram is constructed for the frequency distribution shown below: Age Frequency 30-39 11 40-49 23 50-59 17 60-69 12 70-89 6 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?

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Question 22

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. 20 35 42 52 65 20 60 49 24 37 23 24 22 20 41 25 28 27 50 47 58 30 32 48

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Question 23

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. 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 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 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

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Question 24

Find the original data from the stem-and-leaf plot. - Stem Leaves 7.7 18 7.8 88 7.9 188

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Question 25

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

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Question 26

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. Vehicle Sales Economy 32 Sports 8 Family 56 Luxury 16 Truck 48 Construct a Pareto chart to help him decide.

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Question 27

Solve the problem. -The following frequency distribution analyzes the scores on a math test. Find the indicated class midpoint or boundaries. score Number of Students 40-59 2 60-75 4 76-82 6 83-94 15 95-99 5 The class boundaries of scores interval 95-99

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Question 28

Construct a pie chart representing the given data set. - x 1 -3 -3 -2 3 5 -1 8 -4 -1 y -4 -6 -7 2 3 3 -6 3 -3 -3 $Construct a pie chart representing the given data set. - \begin{array}{lllllllllll} x & 1 & -3 & -3 & -2 & 3 & 5 & -1 & 8 & -4 & -1 \\ y & -4 & -6 & -7 & 2 & 3 & 3 & -6 & 3 & -3 & -3 \end{array}$

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Question 29

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. Score Frequency 10-14 2 15-19 5 20-24 13 25-29 17 30-34 6 Score Frequency 10-14 0 15-19 6 20-24 9 25-29 21 30-34 7 $Solve the problem. -The data shows the roundtrip mileage that 43 randomly selected professors and students drive to school each day. Compare the results and determine whether there appears to be any significant difference between the two groups. \begin{array}{l} \begin{array} { c | c } \text { Score } & \text { Frequency } \\ \hline 10 - 14 & 2 \\ 15 - 19 & 5 \\ 20 - 24 & 13 \\ 25 - 29 & 17 \\ 30 - 34 & 6 \end{array}\\\\ \begin{array} { c | c } \text { Score } & \text { Frequency } \\ \hline 10 - 14 & 0 \\ 15 - 19 & 6 \\ 20 - 24 & 9 \\ 25 - 29 & 21 \\ 30 - 34 & 7 \end{array} \end{array}$

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Question 30

Construct the relative frequency distribution that corresponds to the given frequency distribution. - Scores Frequency 91-100 5 81-90 5 71-80 7 61-70 8 <61 4

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Question 31

Solve the problem. -Using the employment information in the table on Alpha Corporation, find the class midpoint for class 1-5. Years employed at Alpha Corporation Class Limits (years of service) Frequency (No. of employees) 1-5 5 6-10 20 11-15 25 16-20 10 21-25 5 26-30 3

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Question 32

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.

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Question 33

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.

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Question 34

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

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Question 35

Solve the problem. -Use the high closing values of Naristar Inc. stock from the years 1992 - 2003 to construct a time-series graph. (Let x = 0 stand for 1992 and so on...)Identify a trend. Year High Year High 1992 48 1998 62 1993 53 1999 60 1994 47 2000 68 1995 55 2001 42 1996 58 2002 51 1997 61 2003 78

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Question 36

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. 6 6 6 3 6 6 9 8 6 3 8 6 6 8 6 6 8 6 6 8 6 8 8 3 Construct a frequency table. Use 4 classes, a class width of 2 hours, and a lower limit of 3 for class 1. Hours Frequency

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Question 37

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.

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Question 38

Construct the relative frequency distribution that corresponds to the given frequency distribution. - Weight (oz) Number of Stones 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

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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.

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Question 40

Showing 21 - 40 of 82

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.

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. 20 35 42 52 65 20 60 49 24 37 23 24 22 20 41 25 28 27 50 47 58 30 32 48

Find the original data from the stem-and-leaf plot. - Stem Leaves 7.7 18 7.8 88 7.9 188

Solve the problem. -The following frequency distribution analyzes the scores on a math test. Find the indicated class midpoint or boundaries. score Number of Students 40-59 2 60-75 4 76-82 6 83-94 15 95-99 5 The class boundaries of scores interval 95-99

Construct the relative frequency distribution that corresponds to the given frequency distribution. - Scores Frequency 91-100 5 81-90 5 71-80 7 61-70 8 <61 4

Solve the problem. -Using the employment information in the table on Alpha Corporation, find the class midpoint for class 1-5. Years employed at Alpha Corporation Class Limits (years of service) Frequency (No. of employees) 1-5 5 6-10 20 11-15 25 16-20 10 21-25 5 26-30 3

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.

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.

Construct the relative frequency distribution that corresponds to the given frequency distribution. - Weight (oz) Number of Stones 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

Introduction to Statistics

Statistics for Describing, Exploring, and Comparing Data

Probability

Probability Distributions

Normal Probability Distributions

Estimates and Sample Sizes

Hypothesis Testing

Inferences From Two Samples

Correlation and Regression

Multinomial Experiments and Contingency Tables

Analysis of Variance

Nonparametric Statistics

Statistical Process Control

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