Use the following to answer the question(s) below.
Boxplots of earnings per share (EPS) data for a sample of retail company stocks and a sample of energy company stocks are shown below.
-Which of the following statements is correct?
A) The median EPS is higher for energy stocks compared to retail stocks.
B) The median EPS is higher for retail stocks compared to energy stocks.
C) The IQR for the EPS data is larger for retail stocks than for energy stocks.
D) The EPS data are more variable for retail stocks than for energy stocks.
E) The mean is less than the median for energy stocks, and the mean is greater than the median for retail stocks.

Question

Use the following to answer the question(s) below.
Boxplots of earnings per share (EPS) data for a sample of retail company stocks and a sample of energy company stocks are shown below. 
-Which of the following statements is correct?
A) The median EPS is higher for energy stocks compared to retail stocks. 
B) The median EPS is higher for retail stocks compared to energy stocks. 
C) The IQR for the EPS data is larger for retail stocks than for energy stocks. 
D) The EPS data are more variable for retail stocks than for energy stocks. 
E) The mean is less than the median for energy stocks, and the mean is greater than the median for retail stocks.

Quizplus · Accepted Answer

From the boxplot, it can be seen that the median EPS for retail stocks is higher than that of energy stocks. Also, the median is represented by the line inside the box in the boxplot. Therefore, option A is incorrect. 
The IQR for retail stocks is smaller than that of energy stocks as represented by the size of the boxplot length. Therefore, option C is incorrect. 
The variability of the EPS data for retail stocks is less than that of energy stocks as shown by the range of the data and the size of the whiskers. Therefore, option D is also incorrect. 
The mean and median are nearly the same for both groups of stocks, so option E is also incorrect.

Use the Following to Answer the Question(s) Below