The first ten consecutive odd numbers are:
1, 3, 5, 7, 9, 11, 13, 15, 17, 19.
The sum of these numbers is:
\[
1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 = 100
\]
The mean is calculated as:
\[
\frac{\text{Sum of numbers}}{\text{Number of terms}} = \frac{100}{10} = 10
\]
Thus, the correct answer is \( \boxed{10} \).