Chapter 5, Problem 23E

a)

To determine

To explain the shape of the distribution.

Answer to Problem 23E

The shape of the distribution is skewed.

Explanation of Solution

Given:

  

The shape of the distribution is skewed as median is closer to 75^th percentile than 25^th percentile.

b)

To determine

To explain whether there are outliers.

Answer to Problem 23E

There are no any outliers.

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, given summary statistics is lies above 1.5IQR of the 25^th percentile and below 1.5 IQR of the 75^th percentile. Hence, there are no any outliers.

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 graduation rate lies between 43% and 88%. From boxplot, the shape if the distribution seen right skewed. Also, the center of the distribution is about the 70%. The spread of the distribution is around the 15%.