2.122 High school graduation rates The distribution of high school graduation rates in the United States in 2009 had a minimum value of 79.9 (Texas), first quartile of 84.0, median of 87.4, third quartile of 89.8, and maximum value of 91.8 (Wyoming) (Statistical Abstract of the United States, data available on book’s website.)

a. Report the range and the interquartile range.

b. Would a box plot show any potential outliers?

Explain.

c. The mean graduation rate is 86.9, and the standard deviation is 3.4. For these data, does any state have a z-score that is larger than 3 in absolute value?

Explain.