Chapter 13.2, Problem 13PPS

To determine

To Draw:TheStem-and-leaf plot of the data.

Answer to Problem 13PPS

  

Explanation of Solution

Given:The time in seconds of the top ten finishers of the $100$ meter race are $14.3,18.0,19.9,18.7,16.2,7.7,16.5,19.2,17.9,17.4$ . Make and analyze a stem-and-leaf plot of the data and Draw two conclusions.

The stem-and =-leaf plot of the data is shown below:

  

Conclusion I

By calculating the difference between the longest and the shortest winning time

Longest= $19.9sec$

Shortest= $14.3sec$

Difference = $19.9-14.3=5.6\sec$

Conclusion II

By calculating the mean

Finding Mean

  $\begin{array}{l}\text{Mean=}\frac{\text{sum of observation}}{\text{total number of observation}}\\ Mean=\frac{14.3+18.0+19.9+18.7+16.2+7.7+16.5+19.2+17.9+17.4}{10}\\ Mean=\frac{175.8}{10}=17.58\sec \end{array}$

Mean= $17.58\sec$