Supplementary Exercises 1.51 and 1.77 of IPS7e ---------------------------------------------- Minitab commands and output: WOpen "R:\Chapter 1\ex01_051.mtw". Histogram 'days'; Bar. Dotplot 'days'. Stem-and-Leaf 'days'. Stem-and-Leaf Display: days Stem-and-leaf of days N = 72 Leaf Unit = 10 2 0 44 30 0 5555566777888888888889999999 (24) 1 000000000001112222333444 18 1 56777899 10 2 1144 6 2 6 3 2 5 3 8 4 4 0 3 4 3 5 12 1 5 9 Answers to questions in 1.51: ----------------------------- The distribution (shape) is clearly right-skewed. The center is roughly about 100. The spread is considerable (range 43-598). There are no obvious outliers because no single observation seems to be clearly different from the others, and nor do any group of observations seem clearly different from the others. Notice that the right-skewedness of the distribution means that some scattered large observations could be perfectly acceptable. Additional questions in 1.77: ------------------------------ Describe 'days'. Descriptive Statistics: days Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 Maximum days 72 0 141.8 12.9 109.2 43.0 82.3 102.5 153.8 598.0 Boxplot 'days'; IQRBox; Outlier. Comments: --------- The data are skewed to the right, so the five-number summary is more adequate to describe the data than the mean and the standard deviation; notice the big difference between mean and median! Half the guinea pigs lived less than 102.5 days; typical lifetimes were 82 to 154 days. The longest-lived guinea pig died just short of 600 days, while one guinea pig lived only 43 days. The boxplot indicates 6 points by asterisks, as suspected outliers. This is however due to the right-skewness of the distribution, and the plots give no reason to suspect that any of these observations are substantially different than the others (except that they are the largest ones, of course!).