Verified Answer :

The mean is given by

\(\dfrac{n+(n+3)+(n+4)+(n+5)+(n+6)+(n+8)+(n+10)+(n+12)+(n+15)}9=\dfrac{9n+63}9=n+7\)

The median is \(n+6=10\), which means \(n=4\), and so the mean is \(4+7=11\).

Answer:

11

Step-by-step explanation:

The middle number in the 9-number list is \($n+6$\), which is given as 10. Thus \($n=4$\). Add the terms together to get \($9n+63 = 9\cdot 4 + 63 = 99$\). Thus the mean is \($99/9 = \boxed{11}$\).