Chapter 11.3, Problem 23E

a.

To determine

To draw: A histogram of given data using seven intervals beginning with $0-9$ .

Explanation of Solution

Given Information: Table showing waiting times at a restaurant is given.

Histogram:

Drawing the axes and a bar to represent the frequency of each interval,

  

Distribution is neither skewed left nor right. Data on right is approximately mirror image of data on the left. Therefore, the distribution is symmetric.

b.

To determine

To draw: A histogram using $10$ intervals beginning with $0-4$ .

Explanation of Solution

Given Information: Table showing waiting times at a restaurant is given.

Drawing the axes and a bar to represent the frequency of each interval,

  

Most of the data lies at right side and the ‘tail’ extends to the left, the distribution is skewed left.

c.

To determine

To interpret: Histogram representing the data best.

Explanation of Solution

Given Information: Table showing waiting times at a restaurant is given.

The histogram from part $(a)$ is better because the intervals in it correspond well to the waiting times, thus showing a better visual representation and makes the data easily interpretable and explicit.