The graph below shows American household income in $2010.($More recent data is similar, but this was a pretty graph, so I used the $2010$ data.$)$ Imagine that you had to describe that data using either it's mean, its median or its mode. Which would you choose, and why? What are the benefits$/$drawbacks of the mean or the median as a descriptor of a variable like this? When would those distinctions matter, and when would they not matter?

File:Distribution of Annual Household Income in the United States $2010.$png $-$ Wikimedia Commons