To determine which island is more likely to have a wind speed close to its median, we need to analyze the median and the interquartile range (IQR) presented in the box plots of the two islands.
1. Median Position in the Box Plot:
- The median represents the middle value of the data set.
- If the median is closer to one end of the box, it suggests that more data points are packed near that end and fewer on the opposite side.
- Conversely, if the median is closer to the center of the box, the distribution of data points is more balanced around the median.
2. Interquartile Range (IQR):
- IQR represents the spread of the middle 50% of the data (between the first quartile, Q1, and the third quartile, Q3).
- A smaller IQR indicates that the data points are more tightly clustered around the median.
- A larger IQR suggests that the data points are more spread out around the median.
Given these points:
- Option C says Island A is more likely to have a wind speed close to its median because it has a smaller IQR. This is correct because a smaller IQR means the middle 50% of these wind speeds are closely packed around the median, making it more likely for new measurements to be close to the median.
Thus the correct answer is:
Island A because it has a smaller interquartile range.
