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The mean is given by

[tex]\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[/tex]

The median is [tex]n+6=10[/tex], which means [tex]n=4[/tex], and so the mean is [tex]4+7=11[/tex].

Answer:

11

Step-by-step explanation:

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

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