Chapter 12, Problem 16CR

To determine

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

Answer to Problem 16CR

  

Explanation of Solution

Given information:

Given:

  $\begin{array}{l}Movielengths\left(\min \right):\\ 125,117,174,131,142,108,188,162,155,167,129,133,147,175,150\end{array}$

Calculation:

Here, we have:

  $\begin{array}{l}Movielengths\left(\min \right):\\ 125,117,174,131,142,108,188,162,155,167,129,133,147,175,150\end{array}$

Now, we will arrange the data in increasing order:

  $108,117,125,131,133,142,147,150,155,162,167,174,175,188$

Now, we will find the maximum and the minimum:

  $\begin{array}{l}Maximum=188\\ Minimum=108\end{array}$

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

  $Median=147$

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:

  $FirstQuartile=129$

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

  $ThirdQuartile=167$

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

  

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