Exam 2: Summarizing and Graphing Data

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The histogram below represents the number of television sets per household for a sample of U.S. households. What is the maximum number of households having the same number of television Sets? The histogram below represents the number of television sets per household for a sample of U.S. households. What is the maximum number of households having the same number of television Sets?

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Construct the cumulative frequency distribution that corresponds to the given frequency distribution - Speed Number of cars 0-29 4 30-59 16 60-89 60 90-119 20

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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. Identify the center of the third class. 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. Identify the center of the third class.

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Construct a pie chart representing the given data set. -The following data give the distribution of the types of houses in a town containing 43,000 houses. Capes Garrisons Splits 10,750 15,050 17,200  Construct a pie chart representing the given data set. -The following data give the distribution of the types of houses in a town containing 43,000 houses.    \begin{array}{ccc} \text { Capes } & \text { Garrisons } & \text { Splits } \\ 10,750 & 15,050 & 17,200 \end{array}

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The graph below shows the number of car accidents occurring in one city in each of the years 2001 through 2006. The number of accidents dropped in 2003 after a new speed limit was imposed. Does the graph distort the data? How would you redesign the graph to be less misleading? The graph below shows the number of car accidents occurring in one city in each of the years 2001 through 2006. The number of accidents dropped in 2003 after a new speed limit was imposed. Does the graph distort the data? How would you redesign the graph to be less misleading?

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The frequency distribution below summarizes employee years of service for Alpha Corporation. Determine the width of each class. Years of service Frequency 1-5 5 6-10 20 11-15 25 16-20 10 21-25 5 26-30 3

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Explain in your own words why a bar graph can be misleading if one or both of the scales begin at some value other than zero.

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On a math test, the scores of 24 students were 96 74 79 67 79 79 96 89 79 69 89 74 74 89 79 74 89 79 74 89 74 89 89 67 Construct a frequency distribution. Use 4 classes beginning with a lower class limit of 60. Score Frequency \

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Use the high closing values of Naristar Inc. stock from the years 1992 - 2003 to constru time-series graph. (Let x=0x = 0 represent 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  Use the high closing values of Naristar Inc. stock from the years 1992 - 2003 to constru time-series graph. (Let  x = 0  represent 1992 and so on.) Identify a trend.   \begin{array}{c|c|c|c} \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}

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Consider the frequency distribution below, which has single values as classes: Value Frequency 10 1 11 3 12 7 13 18 14 10 15 4 16 2 17 7 18 16 19 10 20 6 21 2 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?

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

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

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The graph below shows the average cost of renting a studio in one city in each of the years 2002 through 2006. By what percentage does the average price increase from 2002 to 2003? Obtain a second version of the graph by sliding a piece of paper over the bottom of the graph so that the bars start at 300. In this new graph, by what percentage does the price appear to increase from 2002 to 2003? Is the second graph misleading? The graph below shows the average cost of renting a studio in one city in each of the years 2002 through 2006. By what percentage does the average price increase from 2002 to 2003? Obtain a second version of the graph by sliding a piece of paper over the bottom of the graph so that the bars start at 300. In this new graph, by what percentage does the price appear to increase from 2002 to 2003? Is the second graph misleading?

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Describe at least two advantages to using stemplots rather than frequency distributions.

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The frequency distribution below summarizes employee years of service for Alpha Corporation. Find the class midpoint for class 1-5. Years of service Frequency 1-5 5 6-10 20 11-15 25 16-20 10 21-25 5 26-30 3

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The following frequency distribution analyzes the scores on a math test. Find the class boundaries of scores interval 95-99. Scores Number of students 40-59 2 60-75 4 76-82 6 83-94 15 95-99 5

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A parcel delivery service lowered its prices and finds that it has delivered twice as many parcels this year as it did last year. To illustrate this fact, the manager draws a graph as shown below. Each cube depicts a parcel. The side length of the "parcel" on the right is twice the side length of the "parcel" on the left. Why is this graph misleading? What visual impression is created by the graph? A parcel delivery service lowered its prices and finds that it has delivered twice as many parcels this year as it did last year. To illustrate this fact, the manager draws a graph as shown below. Each cube depicts a parcel. The side length of the parcel on the right is twice the side length of the parcel on the left. Why is this graph misleading? What visual impression is created by the graph?

(Essay)
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Construct a pie chart representing the given data set. -The following figures give the distribution of land (in acres) for a county containing 98,000 acres. Forest Farm Urban 14,700 9800 73,500  Construct a pie chart representing the given data set. -The following figures give the distribution of land (in acres) for a county containing 98,000 acres.    \begin{array}{rrr} \text { Forest } & \text { Farm } & \text { Urban } \\ 14,700 & 9800 & 73,500 \end{array}

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Use the given data to construct a frequency distribution. -Lori asked 24 students how many hours they had spent doing homework during theprevious week. The results are shown below. 11 10 11 8 11 11 15 13 11 8 13 10 10 13 11 10 13 11 10 13 10 13 13 8 Construct a frequency distribution. Use 4 classes, a class width of 2 hours, and a lower limit of 8 for Hours Frequency

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The frequency distribution below summarizes the home sale prices in the city of Summerhill for the month of June. Find the class boundaries for class 80.0-110.9.  (Sale price in thousand $)  Frequency 80.0110.92111.0141.95142.0172.97173.0203.910204.0234.93235.0265.91\begin{array} { c | c } \text { (Sale price in thousand \$) } & \text { Frequency } \\\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}

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