Chapter 7.2, Problem 13E

To determine

To describe:

A box and whisker plot that represents the data.

Answer to Problem 13E

Least value $=0$ ,Greatest value $=7$

Explanation of Solution

Given:

The data set

Concept used:

The median is the middle number in a sorted ascending or descending list of numbers and more descriptive of that data set than the average.

Calculation:

The first quartile denoted by $Q_1$ is the median of the lower half of the data set.

Order the data and the median of the lower half.

Draw the whiskers from the box to the least and greatest values

  $0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,5,5,7$

Least value $=0$

First quartile median of lower half

  $\begin{array}{l}=\left(0,0,1,1,1,1,2,2,2,2\right)\\ =\frac{1+1}{2}\\ =1\end{array}$

Median

  $\begin{array}{l}=\frac{2+2}{2}\\ =2\end{array}$

Thirdquartile median of upper half

  $\begin{array}{l}=\left(2,2,3,3,3,4,4,5,5,7\right)\\ =\frac{3+4}{2}\\ =3.5\end{array}$

Greatest value $=7$