Answer :
number 1 = x
number 2 = x + 1
number 3 = x + 2
number 4 = x + 3
number 5 = x + 4
then
[tex]\begin{gathered} \frac{x+x+1+x+2+x+3+x+4}{5}=10 \\ \frac{5x+10}{5}=10 \\ \frac{5x+10}{5}\cdot5=10\cdot5 \\ 5x+10=50 \\ 5x+10-10=50-10 \\ 5x=40 \\ \frac{5x}{5}=\frac{40}{5} \\ x=8 \end{gathered}[/tex]therefore the numbers are:
number 1 = 8
number 2 = 9
number 3 = 10
number 4 = 11
number 5 = 12
and the new media is:
[tex]M=\frac{9+10+11+12}{4}=\frac{42}{4}=10.5[/tex]answer: C. 10.5