25. A set of data: $2,3,6,7,8, \mathrm{x}$ has a mode of $\mathrm{x}$. If $x$ satisfies the inequality $\frac{1}{1} 2 x-4>0$, then the median of this set of data could be ( )
(A) 3
(B) 4.5
(C) 3 or 6
(D) 4.5 or 6
The answer is: (D)

Its integer solutions are
$$
3,4,5,6 \text {. }
$$

Since $\mathrm{x}$ is the mode of the data $2,3,6,7,8, \mathrm{x}$,
thus
$x=3$ or $x=6$.

When $x=3$, the data rearranged is
$2,3,3,6,7,8$,

the median is 4.5;
When $x=6$, the data rearranged is
$2,3,6,6,7,8$,

the median is 6.