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Skinfold Thickness Procedure One method of estimating body fat is through skinfold thickness measurement. The measurement can use from three to nine different standard anatomical sites around the body. The right side is usually only measured (for consistency). The tester pinches the skin at the appropriate site to raise a double layer of skin and the underlying adipose tissue. but not the muscle. Calipers are then applied 1 centimeter below and at right angles to the pinch and a reading is taken 2 seconds later. The mean of two measurements should be taken. If the two measurements differ greatly, a third should be done and then the median value taken. Explain why a median is used as the measure of central tendency when three measures are taken, rather than the mean.Answer the following based on the histograms shown to the right. (a) Which measure of central tendency would you recommend reporting for the data whose histogram is shown in Figure I? Why? (b) Which one has more dispersion? Explain. 20 200 700 16 Frequency 480 520 IIThe median for the given set of six ordered data values is 28.5. What is the missing value? 7 12 21 41 50Miles per Gallon 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, 23.8. 25.9\fPulse Rates The following data represent the pulse rates (beats per minute) of nine students enrolled in a section of Sullivan's Introductory Statistics course. Treat the nine students as a population. Student Pulse Perpectual Bempah 76 Megan Brooks Jeff Honeycutt 60 Clarice Jefferson Crystal Kurtenbach 72 Janette Lantka 80 Kevin Mccarthy 80 Tammy Ohm Kathy Wojdyla 73 (a) Determine the population mean pulse. (b) Find three simple random samples of size 3 and determine the sample mean pulse of each sample. (c) Which samples result in a sample mean that overestimates the population mean? Which samples result in a sample mean that underestimates the population mean? Do any samples lead to a sample mean that equals the population mean?M&Ms The following data represent the weights (in grams) of a simple random sample of 50 M&M plain candies. 0.87 0.88 0.82 0.90 0.90 0.84 0.84 10.87 0.91 091 0.86 0.89 0.88 0.88 0.89 0.79 0.82 0.83 0.90 0.88 0.84 0.93 0.81 0.90 0.88 0.92 0.85 0.84 0.84 0.86 Determine the shape of the distribution of weights of M&Ms by drawing a frequency histogram. Find the mean and median. Which measure of central tendency better describes the weight of a plain M&M?Old Faithful We have all heard of the Old Faithful geyser in Yellowstone National Park. However, there is another, less famous, Old Faithful geyser in Calistoga, California. The following data represent the length of eruption (in seconds) for a random sample of eruptions of the California Old Faithful. 108 | 108 66 105 | 103 103 94 102 99 106 110 113 100 101 107 110 92 108 Determine the shape of the distribution of length of eruption by drawing a frequency histogram. Find the mean and median. Which measure of central tendency better describes the length of eruption?A Dealer's Profit The following data represent the profit (in dollars) of a new-car dealer for a random sample of 40 sales. 781 1038 453 1446 3082 501 451 1826 1348 3001 1342 1889 580 0 2909 2883 480 1864 1064 2978 149 1291 507 261 540 543 87 798 673 2862 1892 1783 2186 398 528 730 2324 2823 1678 4148 Determine the shape of the distribution of new-car profit by drawing a frequency histogram. Find the mean and median. Which measure of central tendency better describes the profit?Political Views A sample of 30 registered voters was surveyed in which the respondents were asked, "Do you consider your political views to be conservative, moderate, or liberal?" The results of the survey are shown in the table Liberal Conservative Moderate Moderate Liberal Moderate Liberal Moderate Conservative Moderate Conservative Moderate Moderate Moderate Liberal Liberal Moderate Liberal Conservative | Moderate Moderate Liberal Conservative Liberal Liberal Conservative Liberal Conservative | Moderate Conservative (a) Determine the mode political view. (b) Do you think it would be a good idea to rotate the choices conservative, moderate, or liberal in the question? Why?\fMr. Zuro finds the mean height of all 14 students in his statistics class to be 68.0 inches. Just as Mr. Zuro finishes explaining how to get the mean, Danielle walks in late. Danielle is 65 inches tall. What is the mean height of the 15 students in the class
