Chapter 1: Problem 65
Car Colors The most popular colors for compact and sports cars in a recent year are given in the table. \({ }^{5}\) Use an appropriate graphical display to describe these data.
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Chapter 1: Problem 65
Car Colors The most popular colors for compact and sports cars in a recent year are given in the table. \({ }^{5}\) Use an appropriate graphical display to describe these data.
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Ages of Pennies We collected 50 pennies and recorded their ages, by calculating AGE = CURRENT YEAR - YEAR ON PENNY. \(\begin{array}{rrrrrrrrrr}5 & 1 & 9 & 1 & 2 & 20 & 0 & 25 & 0 & 17 \\ 1 & 4 & 4 & 3 & 0 & 25 & 3 & 3 & 8 & 28 \\ 5 & 21 & 19 & 9 & 0 & 5 & 0 & 2 & 1 & 0 \\\ 0 & 1 & 19 & 0 & 2 & 0 & 20 & 16 & 22 & 10 \\ 19 & 36 & 23 & 0 & 1 & 17 & 6 & 0 & 5 & 0\end{array}\) a. Before drawing any graphs, try to visualize what the distribution of penny ages will look like. Will it be mound-shaped, symmetric, skewed right, or skewed left? b. Draw a relative frequency histogram to describe the distribution of penny ages. How would you describe the shape of the distribution?
Starbucks The number of Starbucks coffee shops in cities within 20 miles of the University of California, Riverside is shown in the following table. \({ }^{20}\) a. Draw a dotplot to describe the data. b. Describe the shape of the distribution. c. Is there another variable that you could measure that might help to explain why some cities have more Starbucks than others? Explain.
Discrete or Continuous? Identify the following quantitative variables as discrete or continuous: a. Population in a particular area of the United States b. Weight of newspapers recovered for recycling on a single day c. Time to complete a sociology exam d. Number of consumers in a poll of 1000 who consider nutritional labeling on food products to be important
Construct a stem and leaf plot for these\(\ 50\) measurements: $$\begin{array}{llllllllll}3.1 & 4.9 & 2.8 & 3.6 & 2.5 & 4.5 & 3.5 & 3.7 & 4.1 & 4.9 \\\2.9 & 2.1 & 3.5 & 4.0 & 3.7 & 2.7 & 4.0 & 4.4 & 3.7 & 4.2 \\\3.8 & 6.2 &2.5 & 2.9 & 2.8 & 5.1 & 1.8 & 5.6 & 2.2 & 3.4 \\\2.5 & 3.6 & 5.1 & 4.8 & 1.6 & 3.6 & 6.1 & 4.7 & 3.9 & 3.9 \\\4.3 & 5.7 & 3.7 & 4.6 & 4.0 & 5.6 & 4.9 & 4.2 & 3.1 & 3.9\end{array}$$ a. Describe the shape of the data distribution. Do you see any outliers? b. Use the stem and leaf plot to find the smallest observation. c. Find the eighth and ninth largest observations.
Aqua Running Aqua running has been suggested as a method of cardiovascular conditioning for injured athletes and others who want a low-impact aerobics program. A study reported in the Journal of Sports Medicine investigated the relationship between exercise cadence and heart rate by measuring the heart rates of 20 healthy volunteers at a cadence of 48 cycles per minute (a cycle consisted of two steps). \({ }^{10}\) The data are listed here: $$\begin{array}{rrrrrrrrrr}87 & 109 & 79 & 80 & 96 & 95 & 90 & 92 & 96 & 98 \\\101 & 91 & 78 & 112 & 94 & 98 & 94 & 107 & 81 & 96\end{array}$$ Construct a stem and leaf plot to describe the data. Discuss the characteristics of the data distribution.
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