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Question: The following data represent the total federal


The following data represent the total federal debt (in trillions of dollars) of the United States from 2000 to 2018.



The following data represent the total federal debt (in trillions of -1


(a) Construct a time-series plot of the data.
(b) Percentage change may be found using the formula:



The following data represent the total federal debt (in trillions of -2

is, the debt increased 1.8% from 2000 to 2001. What was the percentage change in debt from 2008 to 2009?
Have there been any years when the debt decreased (since 2000)?


> For each of the three histograms shown, determine whether the mean is greater than, less than, or approximately equal to the median. Justify your answer.

> The following data represent the flight time (in minutes) of a random sample of seven flights from Las Vegas, Nevada, to Newark, New Jersey, on United Airlines. Compute the mean, median, and mode flight time. 282, 270, 260, 266, 257, 260, 267

> A certain type of concrete mix is designed to withstand 3000 pounds per square inch (psi) of pressure. The concrete is poured into casting cylinders and allowed to set for 28 days. The concrete’s strength is then measured. The following data represent th

> The following data represent the amount of time (in minutes) a random sample of eight students took to complete the online portion of an exam in Sullivan’s Statistics course. Compute the mean, median, and mode time. 60.5, 128.0, 84.6, 122.3, 78.9, 94.7,

> The following data represent the miles per gallon for a 2013 Ford Fusion for six randomly selected vehicles. Compute the mean, median, and mode miles per gallon. Source: www.fueleconomy.gov 34.0, 33.2, 37.0, 29.4, 23.6, 25.9

> The median for the given set of six ordered data values is 26.5. What is the missing value? 7 12 21 ______ 41 50

> For Super Bowl LIII, there were 62,612 tickets sold for a total value of $108,005,700. What was the mean price per ticket?

> Population: 1, 19, 25, 15, 12, 16, 28, 13, 6

> Population: 3, 6, 10, 12, 14

> Sample: 83, 65, 91, 87, 84

> Time of day measured in military time

> Sample: 20, 13, 4, 8, 10

> The following relative frequency histogram represents the proportion of employed people aged 15–74 years old who are members of a union. (a) Describe how this graph is misleading. What might a reader conclude from the graph? (b) Redraw the histogram so t

> The graph shows the median income for females from 2010 to 2017 in constant 2017 dollars. (a) How is the graph misleading? What does the graph seem to convey? (b) Redraw the graph so that it is not misleading. What does the new graph seem to convey?

> The following is a USA Today–type graph. (a) Explain how it is misleading. (b) What could be done to improve the graphic?

> Explain how the following graph is misleading.

> The intention of the following graph is to display the ages of U.S. presidents on Inauguration Day. Explain any problems you see with the graph.

> The following pie chart displays the position played by the most valuable player (MVP) in the National League of Major League Baseball from 1931 through 2018. Explain how the graphic is misleading. What should be done to improve the graphic?

> The following USA Today–type graphic illustrates the ideal family size (total children) based on a survey of adult Americans. (a) What type of graphic is being displayed? (b) Describe any problems with the graphic. (c) Construct a graphic that is not mis

> Between 1980 and 2016, the percent of adults in the United States who were overweight more than doubled from 15% to 40%. Source: Centers for Disease Control and Prevention. (a) Construct a graphic that is not misleading to depict this situation. (b) Cons

> The average per gallon price for regular unleaded gasoline in the United States rose from $1.46 in 2001 to $2.77 in 2018. Source: U.S. Energy Information Administration. (a) Construct a graphic that is not misleading to depict this situation. (b) Constru

> Assessed value of a house

> The following data represent health care expenditures per capita (per person) and as a percentage of the U.S. gross domestic product (GDP) from 2007 to 2016. Gross domestic product is the total value of all goods and services created during the course of

> The safety manager at Klutz Enterprises provides the following graph to the plant manager and claims that the rate of worker injuries has been reduced by 67% over a 12-year period. Does the graph support his claim? Explain.

> The USA Today-type graph shown in the next column is based on data from the Department of Agriculture. It represents the percentage of income a middle-class family will spend on their children. (a) How is the graphic misleading? (b) What could be done to

> The U.S. Strategic Oil Reserve is a government-owned stockpile of crude oil. It was established after the oil embargo in the mid-1970s and is meant to serve as a national defense fuel reserve, as well as to offset reductions in commercial oil supplies th

> The following histogram drawn in StatCrunch represents the total tax collected by the Internal Revenue Service for each state plus Washington, DC and Puerto Rico. Explain why the graph is misleading. Note: Puerto Rico paid the least in tax ($3.5 million)

> An article in a student newspaper claims that younger drivers are safer than older drivers and provides the following graph to support the claim. Explain how this graph is misleading.

> A newspaper article claimed that the afternoon hours were the worst in terms of robberies and provided the following graph in support of this claim. Explain how this graph is misleading.

> The____ is the difference between consecutive lower class limits.

> The____ class limit is the smallest value within the class and the____ class limit is the largest value within the class.

> The categories by which data are grouped are called ______.

> Eye color

> In a national survey of 1300 high school students (grades 9 to 12), 32% of respondents reported that someone had bullied them at school. Source: Bureau of Justice Statistics

> What type of variable is required when drawing a time-series plot? Why do we draw time-series plots?

> Sketch four histograms—one skewed right, one skewed left, one bell-shaped, and one uniform. Label each histogram according to its shape. What makes a histogram skewed left? Skewed right? Symmetric?

> Choose any data set that has at least 50 observations of a quantitative variable. In StatCrunch, open the “Histogram with Sliders” applet. Adjust the bin width and starting point of the histogram. Can the choice of bin width (class width) affect the shap

> Describe the situations in which it is preferable to use relative frequencies over frequencies when summarizing quantitative data.

> Is there such a thing as the correct choice for a class width? Is there such a thing as a poor choice for a class width? Explain your reasoning.

> Why shouldn’t classes overlap when summarizing continuous data in a frequency or relative frequency distribution?

> The graphic below and the graphic on the following page represent the number of reported shark attacks and fatality rate worldwide since 1900. Write a report about the trends in the graphs. In your report discuss the apparent contradiction between the in

> Suppose you just obtained data from a survey in which you learned the following information about 50 individuals: age, income, marital status, number of vehicles in household. For each variable, explain the type of graphical summary you might be able to

> Chicago has installed cameras at various intersections throughout the city. The camera photographs the license plate of any car engaging in a moving violation (such as driving through a red light or failure to completely stop prior to turning on red). Op

> Nielsen/ NetRatings measures the amount of time an individual spends viewing a specific web page. The following data represent the amount of time, in seconds, a random sample of 40 surfers spent viewing a web page. Decide on an appropriate graphical summ

> Highest degree conferred (high school, bachelor’s, and so on)

> The data set “Tornadoes_2017” located at www.pearsonhighered.com/ sullivanstats contains a variety of variables that were measured for all tornadoes in the United States in 2017. (a) Draw a relative frequency histogram of the length of all the tornadoes

> Open the data set 2_2_40, which represents the life expectancy of individuals born in the given year for the years 1960 to 2016 in the United States. Construct a time-series plot and comment on any trends. In what year was the life expectancy highest?

> Open the data set 2_2_39, which represents the number of births per woman between the ages of 15 and 44 for the years 1960 to 2016 in the United States. Construct a time-series plot and comment on any trends. In what year was the number of births per wom

> The following data represent the number of hurricanes in the Atlantic Ocean for the years 2000 to 2017. (a) Construct a time-series plot of the data. (b) See Problem 37(b). What was percentage change from 2015 to 2016? What was the percentage change fr

> Draw a dot plot of the waiting data from Problem 26.

> Draw a dot plot of the televisions per household data from Problem 25.

> What is the ideal number of children to have? This question was asked on the Sullivan Statistics Survey I. Draw a dot plot of the variable “Children” from the SullivanStatsSurveyI data set at www.pearsonhighered.com/ sullivanstats. Now draw a dot plot of

> Payscale.com tracks the graduates of all institutions of higher education and determines the return on investment (ROI) of the school’s graduates. ROI can be thought of as the investment return on the expenses associated with attending college. Go to www

> The volume of a stock is the number of shares traded on a given day. The following data, in millions, so that 6.42 represents 6,420,000 shares traded, represent the volume of Altria Group stock traded for a random sample of 35 trading days in 2018. (a) I

> Year of birth of college students

> The following data represent the default rate on student loans for a random sample of 40 colleges or universities in the United States. (a) If seven classes are to be formed, choose an appropriate lower class limit for the first class and a class width.

> The table shows the tax, in dollars, on a pack of cigarettes in each of the 50 states and Washington, DC, as of January 2015. Note: The state with the lowest tax is Missouri and the state with the highest tax is New York. With a first class having a

> The following data represent the exit velocity (in miles per hour) for a simple random sample of 50 homeruns hit during the 2018 Major League Baseball season. With a first class having a lower class limit of 90 and a class width of 4: (a) Construct a rel

> The following data represent the median household income (in dollars) for the 50 states and the District of Columbia in 2017. With the first class having a lower class limit of 40,000 and a class width of 5000: (a) Construct a frequency distribution. (b)

> The Gini Index is a measure of how evenly income is distributed within a country, ranging from 0 to 100. An index of 0 suggests income is distributed with perfect equality. The higher the number, the worse the income inequality. The data below represent

> The data below represent the number of customers waiting for a table at 6:00 P.M. for 40 consecutive Saturdays at Bobak’s Restaurant. (a) Are these data discrete or continuous? Explain. (b) Construct a frequency distribution of the data. (c) Construct a

> A researcher with A. C. Nielsen wanted to determine the number of televisions in households. He conducts a survey of 40 randomly selected households and obtains the following data. (a) Are these data discrete or continuous? Explain. (b) Construct a frequ

> Use the data in Problem 22. What percentage of earthquakes registered 4.0 to 4.9? What percentage of earthquakes registered less than 5.0?

> Use the data in Problem 21. What percentage of players had a sprint speed between 24 and 25.9 ft/sec? What percentage of players had a sprint speed less than 24 ft/sec?

> The following data represent the magnitude of earthquakes worldwide in October 2018.

> Volume of water used by a household in a day

> The following frequency distribution represents the sprint speed (in feet per second) of all players in Major League Baseball during the 2018 baseball season.

> In an experiment, a researcher asks a basketball player to record the number of free throws she shoots until she misses. The experiment is repeated 50 times. The following table lists the distribution of the number of free throws attempted until a miss i

> To predict future enrollment in a school district, fifty households within the district were sampled, and asked to disclose the number of children under the age of five living in the household. The results of the survey are presented in the following tab

> The following time-series plot shows the average age at which individuals first marry by gender for each year of the census since 1890. (a) To the nearest year, what was the average age of a man who first married in 1980? (b) To the nearest year, what wa

> The following time-series plot shows the annual unemployment and inflation rates for the years 2001 through 2017. Source: www.miseryindex.us (a) Estimate the unemployment rate in 2012. (b) In what year was the unemployment rate highest? (c) In what year

> The following dot plot drawn in Minitab shows the number of people living in a household for a random sample of households in the United States. (a) If you randomly selected a household, what is the most likely number of people living in the household? (

> A student conducted a survey asking a random sample of adults, “How many days per week do you exercise?”. The results of the survey are displayed in the dot plot drawn in StatCrunch shown below. (a) What is the most popular number of days to exercise? (b

> (a) Number of alcoholic drinks consumed per week (b) Ages of students in a public school district (c) Ages of hearing-aid patients (d) Heights of full-grown men

> (a) Annual household incomes in the United States (b) Scores on a standardized exam such as the SAT (c) Number of people living in a household (d) Ages of patients diagnosed with Alzheimer’s disease

> The frequency histogram represents the number of alcohol-related traffic fatalities by state (including Washington, D.C.) in 2016 according to the National Highway Traffic Safety Administration. (a) Determine the class width. (b) Identify the classes

> Movie ratings of one star through five stars

> The following frequency histogram represents the IQ scores of a random sample of seventh-grade students. IQs are measured to the nearest whole number. The frequency of each class is labeled above each rectangle. (a) How many students were sampled? (b) De

> A car salesman records the number of cars he sold each week for the past year. The following frequency histogram shows the results. (a) What is the most frequent number of cars sold in a week? (b) For how many weeks were two cars sold? (c) Determine the

> An experiment was conducted in which two fair dice were thrown 100 times. The sum of the pips showing on the dice was then recorded. The following frequency histogram gives the results. (a) What was the most frequent outcome of the experiment? (b) What w

> True or False: The shape of the distribution shown is best classified as uniform.

> True or False: The shape of the distribution shown is best classified as skewed left.

> True or False: Suppose the first class of a frequency distribution is 0–9.9 and the second class is 10–19.9. Then, the class width is 9.9.

> True or False: There is not one particular frequency distribution that is correct, but there are frequency distributions that are less desirable than others.

> What does it mean if a distribution is said to be “skewed left”?

> In a relative frequency distribution, what should the relative frequencies add up to?

> A frequency distribution lists the______ of occurrences of each category of data, while a relative frequency distribution lists the ______of occurrences of each category of data.

> Nation of origin

> Define raw data in your own words.

> Consider the information in the chart shown below, which is in the USA Today style of graph. Could the information provided be organized into a pie chart? Why or why not?

> Describe the circumstances in which a bar graph is preferable to a pie chart. When is a pie chart preferred over a bar graph? Are there circumstances in which a pie chart cannot be drawn, but a bar graph could be drawn? What are these circumstances?

> Suppose you need to summarize ordinal data in a bar graph. How would you arrange the categories of data on the horizontal axis? Is it possible to make the order of the data apparent in a pie chart?

> When should relative frequencies be used when comparing two data sets? Why?

> Keeping students engaged in the learning process greatly increases their chance of success in a course. Traditional lecture-based math instruction has given way to a more student-engaged approach where students interact with the teacher in class and rece

> Choose a qualitative variable from the Sullivan StatCrunch Survey I data set at www.pearsonhighered.com/sullivanstats and summarize the variable by gender.

> Choose a qualitative variable from the Sullivan StatCrunch Survey I data set at www.pearsonhighered.com/sullivanstats and summarize the variable.

> The following data represent the land area and highest elevation for each of the seven continents. (a) Would it make sense to draw a pie chart for land area? Why? If so, draw a pie chart. (b) Would it make sense to draw a pie chart for the highest elevat

> The data set “Tornadoes_ 2017” located at www.pearsonhighered.com/sullivanstats contains a variety of variables that were measured for all tornadoes in the United States in 2017. F scale is a qualitative variable that categorizes tornadoes by their wind

> Air pressure in pounds per square inch in an automobile tire

> Type A phlebotomist draws the blood of a random sample of 50 patients and determines their blood types as shown: (a) Construct a frequency distribution. (b) Construct a relative frequency distribution. (c) According to the data, which blood type is most

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