The numbers $6,8,11,12,2x-8,2x+10,35,41,42,50$ are written in ascending order. If their median is $25$, then what is the mean of the numbers?

There are $n=10$ numbers (an even number).The median is the average of the $5^{\text{th}}$ and $6^{\text{th}}$ terms.$5^{\text{th}}$ term $=2x-8$$6^{\text{th}}$ term $=2x+10$ $
$\text{Median}=\frac{(2x-8)+(2x+10)}{2}=25$ $
$$\frac{4x+2}{2}=25$$
$$2x+1=25⟹2x=24⟹x=12$$
Now substitute $x=12$ to find the two terms:$5^{\text{th}}$ term $=2(12)-8=16$$6^{\text{th}}$ term $=2(12)+10=34$ The list of 10 numbers is: $6,8,11,12,16,34,35,41,42,50$.Sum of all 10 numbers:
$$\text{Sum}=6+8+11+12+16+34+35+41+42+50=255$$
Mean of the numbers:
$$\text{Mean}=\frac{255}{10}=25.5$$