4.33 The report “Who Moves? Who Stays Put? Where’s Home?” (Pew Social and Demographic Trends, December 17, 2008) gave the accompanying data for the 50 U.S. states on the percentage of the population that was born in the state and is still living there. The data values have been arranged in order from largest to smallest.

75.8 71.4 69.6 69.0 68.6 67.5 66.7 66.3 66.1 66.0 66.0 65.1 64.4 64.3 63.8 63.7 62.8 62.6 61.9 61.9 61.5 61.1 59.2 59.0 58.7 57.3 57.1 55.6 55.6 55.5 55.3 54.9 54.7 54.5 54.0 54.0 53.9 53.5 52.8 52.5 50.2 50.2 48.9 48.7 48.6 47.1 43.4 40.4 35.7 28.2

a. Find the values of the median, the lower quartile, and the upper quartile.

b. The two smallest values in the data set are 28.2

(Alaska) and 35.7 (Wyoming). Are these two states outliers? (Hint: See Example 4.11.)

c. Construct a boxplot for this data set and comment on the interesting features of the plot.