The median would be more useful than the mean as a measure of center for the following examples:
B) Number of fouls committed in an NBA basketball game
C) Individual wealth
E) Number of people killed in earthquakes of magnitude 4 or higher
The median is the middle value in a data set arranged in order.
For B), the mean may be skewed by extreme values (e.g. a few players with a very high number of fouls), while the median would give a better representation of the typical number of fouls.
For C), we know that individual wealth can vary significantly, and a few extremely wealthy individuals could skew the mean. The median would provide a better measure of the central tendency.
For E), a few very large earthquakes could significantly skew the mean, making the median a more useful measure of central tendency.
Thus, the correct options where the median is more useful than the mean are Option B, C, and E.