Chapter 5, Problem 24E

a)

To determine

To explain the shape of the distribution.

Answer to Problem 24E

The shape of the distribution is skewed.

Explanation of Solution

Given:

  

The shape of the distribution is skewed as Q1 is nearest to Q3.

b)

To determine

To explain whether there are outliers.

Answer to Problem 24E

There are outliers present.

Explanation of Solution

Given:

  

The outliers are those which lies above 1.5IQR of the 25^th percentile and below 1.5 IQR of the 75^th percentile. Therefore, the maximum value 250 is lies above 1.5IQR of the 25^th percentile. Hence, there is outlier present.

c)

To determine

To create a boxplot of the data.

Explanation of Solution

Given:

  

Following is the boxplot:

  

d)

To determine

To write some sentences about the graduation rates.

Explanation of Solution

Given:

  

  

The shape of the distribution is left skewed.The size of vineyard is between 6 and 250 acres. Here, 250 is an outlier as most of the acres between 6 and 110. The spread is about 36.50 acres.