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Published byBlaze Pearson Modified over 9 years ago
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#1 (a) The Colorado Rockies, who won 92 games, are at the 80th percentile, since 24/30 teams had fewer wins than they did. (b) The New York Yankees, who won 103 games, are at about the 97th percentile since 29/30 teams had fewer wins than they did. (c) The two teams with 65 wins, the Kansas City Royals and the Cleveland Indians, are at the 10th percentile since only 3/30 teams had fewer wins than they did.
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Median Income ($1000s) Frequency Relative Frequency Cumulative Frequency Cumulative Relative Frequency 35 to < 4011/51 = 0.0201 40 to < 451010/51 = 0.1961111/51 = 0.216 45 to < 501414/51 = 0.2752525/51 = 0.490 50 to < 551212/51 = 0.2363737/51 = 0.725 55 to < 6055/51 = 0.0984242/51 = 0.824 60 to < 6566/51 = 0.1184848/51 = 0.941 65 to < 7033/51 = 0.0595151/51 = 1.000 # 2
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#3 (a) California, with a median household income of $57,445, is at about the 79st percentile. (b) The first quartile of this distribution is the 25th percentile. About 25% of the states have median incomes less than $45,000.
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#4 (a) The mean and median salaries will each increase by $1000 (the distribution of salaries just shifts by $1000). (b) The extremes and quartiles will also each increase by $1000. The standard deviation will not change. Nothing has happened to affect the variability of the distribution. The center has shifted location, but the spread has not changed.
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