Chapter 5, Problem 12E

a)

To determine

To find which statistics would be appropriate for center and spread of the distribution.

Answer to Problem 12E

The median as a measure of center and IQR as a measure of spread should be appropriate.

Explanation of Solution

Given:

  

Calculation:

There are lot of outliers observed. Therefore, median as a measure of center and IQR as a measure of spread should be appropriate. Because both are does not influenced by an outlier.

b)

To determine

To find the number of parks which can be represent an outlier.

Answer to Problem 12E

8 parks.

Explanation of Solution

Given:

  

Calculation:

There are 5 bars that are separated from other bars and it creates 8 parks. Hence, 8 parks considered to be an outlier.

c)

To determine

To construct boxplot.

Explanation of Solution

Given:

  

Calculation:

Following is the boxplot:

  

d)

To determine

To write a few sentences about the distribution.

Explanation of Solution

Given:

  

  

Calculation:

As per boxplot, the shape of the distribution is left skewed. The center of the data is around 40 and spread is around 50. This distribution having 3 outliers which are around 185, 205 and 275.