Exam 2: Organizing Data

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A graphical display of a data set is given. State whether the distribution is (roughly)symmetric, right skewed, or leftskewed. -A frequency histogram is given below for the weights of a sample of college students. A graphical display of a data set is given. State whether the distribution is (roughly)symmetric, right skewed, or leftskewed. -A frequency histogram is given below for the weights of a sample of college students.

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For the year 2006 , a large record company reported the following sales figures for various music media. Media Sales (\ millions) CD 1477.3 CD single 1.8 MP3 65.9 Vinyl 2.6 Music video 531.4 Mini Disc 0.3 DVD 108.2 Cassette 3.4 What kind of data is provided by the information in the first column?

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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?

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Identify the variable. -For the year 2006 , a large record company reported the following sales figures for various music media. Media Sales (\ millions) CD 1477.3 CD single 1.8 MP3 65.9 Vinyl 2.6 Music video 531.4 Mini Disc 0.3 DVD 108.2 Cassette 3.4 Identify the variable under consideration in the first column?

(Multiple Choice)
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The following table gives the top five movies at the box office this week. Rank Last week Movie title Studio Box office sales (\ millions) 1 N/A Pirate Adventure Movie Giant 35.2 2 2 Secret Agent Files G.M.G. 19.5 3 1 Epic Super Hero Team 21st Century 14.3 4 5 Reptile Ride Movie Giant 10.1 5 4 Must Love Cats Dreamboat 9.9 What kind of data is provided by the information in the second column?

(Multiple Choice)
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A graphical display of a data set is given. State whether the distribution is (roughly)symmetric, right skewed, or leftskewed. -A die was rolled 200 times and a record was kept of the numbers obtained. The results are shown in the relative frequency histogram below. A graphical display of a data set is given. State whether the distribution is (roughly)symmetric, right skewed, or leftskewed. -A die was rolled 200 times and a record was kept of the numbers obtained. The results are shown in the relative frequency histogram below.

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Arranging the age of students in a class in from youngest to oldest yields ordinal data.

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Provide an appropriate response. -A table of random numbers is used to generate 100 random integers between 0 and 9. Do you think that the distribution of the numbers will be roughly uniform? Why or why not? In a second experiment, a table of random numbers is used to generate two random integers between 0 and 9 and the sum of the two numbers is recorded. This procedure is repeated 100 times. Do you think that the distribution of the sums will be roughly uniform? Why or why not?

(Essay)
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A large record company reported the following sales figures for various music media last year. Media Sales (\ millions) CD 1477.3 CD single 1.8 MP3 65.9 Vinyl 2.6 Music video 531.4 Mini Disc 0.3 DVD 108.2 Cassette 3.4 What kind of data is provided by the information in the second column?

(Multiple Choice)
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A discrete variable always yields numerical values.

(True/False)
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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.

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Use limit grouping to organize these data into 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 5 6 3 6 6 9 8 6 4 8 5 5 8 6 5 8 6 5 8 5 8 8 3 Construct a frequency distribution. Use 4 classes, a class width of 2 hours, and a lower limit of 3 for the first class. Hours Frequency

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A variable whose possible values are 1.15, 1.20, 1.25, 1.30, 1.35, 1.40, 1.45, 1.50, 1.55, 1.60, is a continuous variable.

(True/False)
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A high school teacher keeps a record of the number of days that each student attended school last year and then she constructs a relative frequency histogram. What do you think the shape of the distribution will be? Why?

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Classify the data as either qualitative or quantitative. -The following table gives the top five movies at the box office this week. Rank Last week Movie title Studio Box office sales (\ millions) 1 N/A Pirate Adventure Movie Giant 35.2 2 2 Secret Agent Files G.M.G. 19.5 3 1 Epic Super Hero Team 21st Century 14.3 4 5 Reptile Ride Movie Giant 10.1 5 4 Must Love Cats Dreamboat 9.9 What kind of data is provided by the information in the third column?

(Multiple Choice)
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Shortly before an election, a market research firm took a poll to find out whether people were planning to vote for or against a particular ballot measure. The results are shown below. Position Frequency Against 3087 In favor 3691 Undecided 910 The ballot measure will pass if a simple majority (more than 50%)vote in favor of the measure. You wish to construct a graph to represent the data. It should be easy to see from your graph whether more than 50% of the people are planning to vote in favor of the measure. Which graph would be more useful, a bar graph or a pie chart? Explain your thinking.

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The blood types for 40 people who agreed to participate in a medical study were as follows. Construct a frequency distribution for the data.

(Multiple Choice)
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The bar 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. Why is the graph misleading? How would you redesign the graph to be less misleading? The bar 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. Why is the graph misleading? How would you redesign the graph to be less misleading?

(Essay)
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Construct the requested histogram. -The table gives the frequency distribution for the data involving the number of television sets per household for a sample of 100 U.S. households. \# of TVs Frequency 1 20 2 50 3 15 4 10 5 5 Construct a relative frequency histogram.  Construct the requested histogram. -The table gives the frequency distribution for the data involving the number of television sets per household for a sample of 100 U.S. households.   \begin{array} { c | c }  \text { \# of TVs } & \text { Frequency } \\ \hline 1 & 20 \\ 2 & 50 \\ 3 & 15 \\ 4 & 10 \\ 5 & 5 \end{array}   Construct a relative frequency histogram.

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Scott Tarnowski owns a pet grooming shop. His prices for grooming dogs are based on the size of the dog. His records from last year are summarized below. Construct a relative frequency distribution. Class Frequency Large 345 Medium 830 Small 645

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