Chapter 11.2, Problem 16E

(a)

To determine

To find the range and interquartile range of data.

Answer to Problem 16E

Range = $17$

Interquartile Range = $7$

Explanation of Solution

Given information: Box-and-whisker plot.

Formula Used: Range of the data= $max.-\min .$ and Interquartile range of the data = $Q_3-Q_1$

Calculation:

  

As the range of the data: $max.-\min .$

So,

Range = $17-0$

Hence,

Range = $17$

As the Interquartile range of the data = $Q_3-Q_1$

So,

Interquartile Range = $9-2$

Hence,

Interquartile Range = $7$

(b)

To determine

To describe the distribution of data.

Answer to Problem 16E

Positively Skewed

Explanation of Solution

Given information: Box-and-whisker plot.

Calculation:

  

The distribution is positively skewed as the mean typically gets pulled toward the tail, and is greater than the median.

(c)

To determine

To describe the data more spread out.

Answer to Problem 16E

Yes

Explanation of Solution

Given information: Box-and-whisker plot.

Calculation:

  

Yes, the data is more spread out.

Because range of the data is much greater than interquartile range.