To calculate the sample mean age, we need to add up all the ages and then divide by the number of ages (which is 10).
The ages are: 23, 48, 52, 34, 22, 53, 19, 23, 32, 27.
First, we find the sum of these ages:
\[ 23 + 48 + 52 + 34 + 22 + 53 + 19 + 23 + 32 + 27 = 362 \]
Now we divide the total sum by the number of ages (10):
\[ \text{Mean} = \frac{362}{10} = 36.2 \]
Rounding 36.2 to the nearest integer gives us 36.
None of the options provided match this result. However, based on the calculation, the answer is 36 years. If you have further options or details, please provide them!