Solutions

1.33 A. Graph B. Women (5-number summary) 101, 126, 138.5, 154, 200. Men: 70, 98, 114.5, 143, 187. C. Women generally score higher than men. All five stats are higher for women. The men’s scores are more spread out. The shapes of the distributions are roughly similar, each displaying a slight skewness to the right.

1.34 A. Equal, since the distribution is roughly symmetric. B. 42, 51, 54, 59, 69. The median is very close to the mean. C. IQR = 59-51=8 D. Graph E. There are no outliers.

1.35 The IQR is resistant. Answers will vary.

1.36 A. $ B. Graph. According to the 1.5 x IQR, the outliers are 85.76, 86.37, and

1.37 A. Q1 = 25 and Q3 = 45. B. It is not an outlier (75 is the boundary for outliers).

1.38 A. The 5-number summary is 5.7%, %, 12.75%, 13.5%, and 17.6% B. It would flag Alaska, Florida, and the one with 8.5%