Chapter 12, Problem AP4.21CPT

To determine

To find out which of the following cannot be justified from the plots.

Answer to Problem AP4.21CPT

Option (e) is the correct option.

Explanation of Solution

In the question, the back-to-back stem plots are given that compare the ages of players from two minor league hockey teams. Thus, by looking at the options we can see that,

Option (a) can be justified because there are equal values at the left and the right side of the plot which indicates that there are equal players in both the teams i.e. $25$ .

Option (b) can be justified because the median is the middle value of the sorted data set and the data are sorted in the plot, then we can calculate it from the plot.

Option (c) can be justified because the skewness of the distribution are noticeable from the plots, as most of the values lie near to the top of the plot which means it is right skewed.

Option (d) can be justified because the range is the difference i=between the smallest and the largest observation, while the smallest and the largest observation can be determined by the plots as the data is sorted.

Option (e) cannot be justified because we will first have to make certain calculations since $1.5\text{IQR}$ rule states that outliers are above or below the third quartile or third quartile. Thus, option (e) is the correct option.