Question

one statistic calculated for pitchers in baseball is called the earned run average, or era. the following boxplots summarize the era for pitchers in two leagues, a and b. based on the boxplots, which of the following statistics is the same for both leagues? a the range b the interquartile range c the median d the minimum e the maximum

Explanation:

To determine which statistic is the same for both leagues, we analyze each option using the boxplots:

• Range: Calculated as \( \text{Maximum} - \text{Minimum} \). The whiskers (and outliers) show different max/min for League A and B, so ranges differ.
• Interquartile Range (IQR): \( \text{Q}_3 - \text{Q}_1 \) (length of the box). The boxes for League A and B appear to have different lengths, so IQRs differ.
• Median: The line inside the box represents the median. Visually, the median lines for both leagues align at the same ERA value (e.g., around the middle of the box, suggesting the same median).
• Minimum/Maximum: Whiskers and outliers show different min/max values for each league.

Thus, the median is the same for both leagues.

Answer:

C. The median