Chapter 12.4, Problem 1LC

To determine

To find: The minimum, first quartile, median, third quartile, maximum, and box-and-whisker plot of given data set.

Answer to Problem 1LC

  $\begin{array}{l}\text{Minimum}=48\\ \text{Maximum}=256\\ \text{Median}\left(Q_2\right)=100\\ \text{First quartile}\left(Q_1\right)=54\\ \text{Third quartile}\left(Q_3\right)=188\end{array}$

  

Explanation of Solution

Given information:

A data set is given as − $\text{54 100 84 124 188 48 256}$ .

Calculation:

Given data set is, file sizes(megabytes): $\text{54 100 84 124 188 48 256}$ .

Arranging the data set from least to greatest −

  $48\text{ 54 84 100 124 188 256}$

  $\begin{array}{l}\text{Minimum}=48\\ \text{Maximum}=256\\ \text{Median}\left(Q_2\right)=100\\ \text{First quartile}\left(Q_1\right)=54\\ \text{Third quartile}\left(Q_3\right)=188\end{array}$

Plotting box-and-whisker plot as below −