Section 3.1 Measures of Center 101 a. Find the mean and median price for 2007. b. Find the mean and median price for 2008. c. In general, house prices decreased from 2007 to 2008. Which decreased more, the mean or the median? 39. Heavy football players: Following are the weights, in pounds, for offensive and defensive linemen on the New York Giants National Football League team at the beginning of the 2008 season. Offense: 315 253 255 319 252 300 327 303 299 310 317 302 Defense: 304 309 306 305 265 270 264 317 255 274 261 296 a. Find the mean and median weight for the offensive linemen. b. Find the mean and median weight for the defensive linemen. c. Do offensive or defensive linemen tend to be heavier, or are they about the same? 40. Stock prices: Following are the closing prices of Google stock for each trading day in June and July 2010. June 482.37 493.37 505.60 498.72 485.52 484.78 474.02 487.01 488.50 483.19 497.99 501.27 500.08 500.03 488.56 486.25 482.05 475.10 472.68 472.08 454.26 444.95 July 439.49 436.55 436.07 450.20 456.56 467.49 475.83 489.20 491.34 494.02 459.61 466.18 481.59 477.50 484.81 490.06 488.97 492.63 484.35 484.99 484.85 a. Find the mean and median price in June. b. Find the mean and median price in July. c. Does there appear to be a substantial difference in price between June and July, or are the prices about the same? 41. Commercial break: Following are the amounts spent (in billions of dollars) on media advertising in the United States by a sample of ten companies in 2008. 3.2 2.4 2.2 2.0 1.4 1.4 1.3 1.2 1.2 1.0 Source: TNS Media Intelligence a. Find the mean amount spent on advertising. b. Find the median amount spent on advertising. c. How many modes are there? Find them. d. If the amount of 3.2 was incorrectly listed as 32, how would this affect the mean? How would it affect the median? 42. Magazines: The following data represent the annual costs in dollars, of a sample of 22 popular magazine subscriptions. 14.98 9.97 20.99 7.97 9.99 11.97 116.99 14.95 11.97 16.00 9.97 17.98 38.95 14.98 14.98 16.00 24.99 14.98 10.99 18.00 12.99 11.99 Source: http://magazines.com a. Find the mean annual subscription cost. b. Find the median annual subscription cost. c. What is the mode? d. Which value in this data set is most accurately described as an extreme value? e. How would the mean, median, and mode be affected if the extreme value were removed from the list? 43. Don’t drink and drive: The Insurance Institute for Highway Safety reported that there were 3958 fatalities among drivers in auto accidents in 2008. Following is a frequency distribution of their ages. Age Number of Fatalities 11–20 339 21–30 1544 31–40 844 41–50 686 51–60 413 61–70 132 Source: Insurance Institute for Highway Safety a. Approximate the mean age. b. The first class consists of ages 11 through 20, but most drivers are at least 16 years old. Does this tend to make the approximate mean too large or too small? Explain.
navidi_monk_essential_statistics_1e_ch1_3
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