By Gian-Carlo Rota, Kenneth Baclawski

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**Extra resources for An Introduction to Probability and Random Processes**

**Example text**

5, the average of the 27th and 28th smallest values. ■ A box plot is often used to plot some of the summarizing statistics of a data set. A straight line segment stretching from the smallest to the largest data value is drawn on a horizontal axis; imposed on the line is a “box,” which starts at the ﬁrst and continues to the third quartile, with the value of the second quartile indicated by a vertical line. 1 go from a low value of 27 to a high value of 40. 5; and the value of the third quartile (equal to the value of the 32nd smallest on the list) is 34.

District of Columbia . . Florida. . . . . . . . Georgia . . . . . . . Hawaii . . . . . . . Idaho . . . . . . . . Illinois . . . . . . . . Indiana . . . . . . . Iowa . . . . . . . . . Kansas . . . . . . . . Kentucky . . . . . . Louisiana . . . . . . Maine . . . . . . . . Maryland . . . . . . Massachusetts . . . . Michigan . . . . . . Minnesota . . . . . . Mississippi . . . . . . 25,897 22,340 31,825 23,153 20,108 28,902 25,040 32,603 26,596 37,951 23,145 24,373 25,538 20,649 27,910 23,570 20,937 21,982 21,858 22,342 21,808 27,145 29,664 27,463 25,324 19,237 26,362 22,786 32,336 23,501 20,337 29,468 25,682 33,169 27,143 39,199 23,571 24,867 26,325 21,188 28,420 24,109 21,441 22,430 22,170 22,632 22,026 27,684 30,229 28,260 25,711 19,694 Missouri .

8 1 Excludes persons who worked at home. S. Bureau of the Census. Census of Population and Housing, 1990. 5. Choose a book or article and count the number of words in each of the ﬁrst 100 sentences. Present the data in a stem and leaf plot. Now choose another book or article, by a different author, and do the same. Do the two stem and leaf plots look similar? Do you think this could be a viable method for telling whether different articles were written by different authors? 6. The following table gives the number of commercial airline accidents and fatalities in the United States in the years from 1980 to 1995.