Chapter 4, Problem 11E

(a)

To determine

To Explain: the mean and median to be larger expected.

Explanation of Solution

Given:

  

When the distribution is positively or right skewed the relation between mean, median and mode is

Mean > Median > Mode

For the negatively or left skewed the relation should be

Mean < Median < Mode

By seeing the distribution, it is shows that the distribution is right skewed because the large tail looks on the right side of the distribution. So for the positively skewed distribution or right side skewed distribution, mean is greater than median. Hence the histogram would expect the mean to be larger.

(b)

To determine

To Explain: the few sentences describing this distribution.

Explanation of Solution

Given:

  

By seeing the histogram, there are two peaks in the histogram one is at 1 and another is at 8 days. So the distribution is bimodal and skewed to right. On the basis of the height of the bars in the histogram, most of the patient stays in between 1 and 15 and there are some extreme values above 25 days.

(c)

To determine

To Explain: the summary statistics would choose to summarize the centre and spread in these data.

Explanation of Solution

Given:

  

By seeing the distribution, the data is skewed. Mean and Inter quartile range would be selected to summarize the centre and spread for this data.