Answer
$\text{The mean will move towards the outlier.}$
Work Step by Step
$\text{Explanation:}$
As we know The $\text{Mean}$ is non-resistant so it can be affected by an outlier and ultimately the $\text{Mean}$ will want to move towards the outlier because an outlier can push the $\text{Mean}$ of the data out of its usual position, so Eliminating the outlier results in the correct $\text{Mean}$ of the Data Set.
$\text{For Example:}$
Consider we have a Data $\rightarrow 1,2,3$
so The Mean for the above data is $\bar{x} = 2$
But If we add an outlier of $98$
so The Mean would become $\bar{x} = 26$.
Hence we can see that the Mean move towards the outlier.