Try the following ACT math practice question that tests your understanding of what happens to the mean and median of a list of values when the value of the items in the list are changed.

There are $19$ numbers in a list. If the $6$ smallest of these numbers are decreased by $1$ each and the $4$ greatest of these numbers are increased by $2$ each, which of the following statements must be true?

- $\quad \textrm{The median does not change.}$
- $\quad \textrm{The median decreases.}$
- $\quad \textrm{The median increases.}$
- $\quad \textrm{The average (arithmetic mean) decreases.}$
- $\quad \textrm{The average (arithmetic mean) does not change.}$

**Video Explanation**

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