Final answer:
Box-and-whisker plots allow the comparison of age distributions in different teams. Key aspects to examine are the range, median, interquartile range, and variability — with the whisker lengths and box sizes providing insights into each team's age profile.
Step-by-step explanation:
The question concerns the interpretation of box-and-whisker plots which can be used to infer the age distribution of players on two different basketball teams, Team A and Team B. By analyzing the plots, we can deduce the following:
- Team A has a wider age range than Team B if its box plot shows a longer span from the lowest to the highest value.
- The median age of Team B is higher than that of Team A if Team B's median line within the box is positioned further right on the age axis.
- Both teams have similar interquartile ranges (IQR) if the box lengths for both teams are approximately the same.
- Team A exhibits more variability in player ages than Team B if Team A's box and whiskers cover a broader range of ages and especially if the plot is more spread out for the upper 50 percent of ages.
To compare these attributes, it's essential to look at the length of the boxes, which indicates the IQR, the position of the median line within each box, and the length of the whiskers, which shows the full range of data excluding potential outliers.