Chapter 12, Problem 18CR

To determine

Prepare a box-and-whisker plot for the data.

Answer to Problem 18CR

  

Explanation of Solution

Given information:

Given:

  $\begin{array}{l}Booklenghts\left(pages\right):\\ 178,223,198,376,284,156,245,202,315,266\end{array}$

Calculation:

Here, we have:

  $\begin{array}{l}Booklenghts\left(pages\right):\\ 178,223,198,376,284,156,245,202,315,266\end{array}$

Now, we will arrange the data in increasing order:

  $156,178,198,202,223,245,266,284,315,376$

Now, we will find the maximum and the minimum:

  $\begin{array}{l}Maximum=376\\ Minimum=156\end{array}$

Now, the median will be the middle term of the given data:

  $\begin{array}{l}Median=\frac{223+245}{2}\\ Median=234\end{array}$

Now, we will find the first and the third quartile of the given data:

First quartile will be the median of lower half of the data:

  $FirstQuartile=198$

Third quartile will be the median of upper half of the data:

  $ThirdQuartile=284$

Now, we will prepare a box-and-whisker plot for the given data:

  

Hence, the result is shown in the above whisker plot.