Chapter 15.2, Problem 3WE

To determine

Draw the box -and - whisker plot.

Answer to Problem 3WE

  

Explanation of Solution

Given information:

Given: The stem −and- leaf plot.

  $\begin{array}{ll}0\hfill & 2,3,7\hfill \\ 1\hfill & 0,4,4,8\hfill \\ 2\hfill & 2,5,5,5,9,9\hfill \\ 3\hfill & 0,4,4,8,8\hfill \\ 4\hfill & 0,1,7\hfill \end{array}$

Calculation:

Here, we have to prepare a box and a whisker plot. We have to show the median, the first quartile, the third quartile and the highest scores on the number line.

Now we have:

  $\begin{array}{l}Median=25\\ Thefirstquartile=14\\ Thethirdquartile=34\end{array}$

  

Now, we will prepare a rectangular box such that the first and the third quartile dots contain the shorter sides of the rectangle:

  

Now, we will draw the line segments from the first quartile to the lowest score dots and from the third quartile to the highest score dots:

  

Hence, the results are shown in the figure.