#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.
Median Income ($1000s) Frequency Relative Frequency Cumulative Frequency Cumulative Relative Frequency 35 to < 4011/51 = to < /51 = /51 = to < /51 = /51 = to < /51 = /51 = to < 6055/51 = /51 = to < 6566/51 = /51 = to < 7033/51 = /51 = # 2
#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.
#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.