Which measure of center is most appropriate for representing a typical player's yearly salary?

The median is the most appropriate measure of center for representing a typical player's yearly salary because it effectively represents the middle value when the data is arranged in order. In cases where there are extreme values or outliers in the data set—such as exceptionally high salaries that can skew the mean—the median provides a better reflection of what a "typical" salary might be. It divides the data into two halves, ensuring that half of the players earn below this value and half earn above it.

In contrast, the mean can be influenced heavily by those outlier salaries, which may give a skewed sense of what a typical salary looks like. The mode, while useful for identifying the most frequently occurring salary, does not necessarily represent the center effectively if there are various salaries that players earn. The range provides insight into the spread of salaries but does not indicate a central value at all. Therefore, the median stands out as the best measure of center in this context.