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Name: _____________________________Describing Location in a Distribution1. Play ball! The dotplot shows the number of wins for each of the 30 Major League Baseball teams in the 2014 season: (a) Find the percentile for the Boston Red Sox, who won 71 games. (b) The New York Yankees’ number of wins is at the 60th percentile of the distribution. Interpret this value in context. How many games did New York win? 2. Stand up tall The dotplot shows the heights of the 25 students in Mrs. Navard’s statistics class. Height (in.)(a) Find the percentile for Lynette, the student who is 65 in. tall. (b) Asher’s height is at the 88th percentile of the distribution. Interpret this value in context. How tall is Asher?389572520955003. Supermarket sweep The following figure is a cumulative relative frequency graph of the amount spent by a sample of 50 grocery shoppers at a?store. (a) What is the percentile for the shopper who spent $19.50? (b) Estimate and interpret the 80th percentile of the distribution.36861752952754. Call me maybe? The graph displays the cumulative relative frequency of the lengths of phone calls made from the math department office at Gabalot High last month. (a) About what percent of calls lasted 30 minutes or more? (b) Estimate the interquartile range (IQR) of the distribution.5. The Nationals play During the 2014 season, the mean number of wins for Major League Baseball teams was 81 with a standard deviation of 9.6 wins. Find the standardized score (z-score) for the Washington Nationals, who won 96 games. Interpret this value in context.6. Stand tall The heights of the 25 students in Mrs. Navard’s statistics class have a mean of 67 in. and a standard deviation of 4.29 in. Find the standardized score (z-score) for Boris, a member of the class who is 76 in. tall. Interpret this value in context. 7. Where are the old folks? Based on data from the 2010 U.S. Census, the percent of residents aged 65 or older in the 50 states and the District of Columbia has mean 13.26% and standard deviation 1.67%. (a) Find and interpret the standardized score (z-score) for the state of Colorado, which had 9.7% of its residents age 65 or older. (b) The standardized score for Florida is z = 2.60. Find the percent of the state’s residents that were 65 or older.8. Meaning of the Dow The Dow Jones Industrial Average (DJIA) is a commonly used index of the overall strength of the U.S. stock market. In 2013 the mean daily change in the DJIA for the 252 days that the stock markets were open was 13.59 points with a standard deviation of 94.05 points. (a) Find and interpret the standardized score (z-score) for the change in the DJIA on May 7, 2013, which was 87.31 points. (b) The standardized score for May 1, 2013, was z = –1.62. Find the change in the DJIA for that date. ................
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