To determine the mean age of the teachers, we first need to sum up all the ages and then divide that sum by the number of ages.
The ages of the teachers are: 34, 41, 35, 27, 44, 48, 29, 33, and 39.
Now, let's calculate the sum of these ages:
34 + 41 + 35 + 27 + 44 + 48 + 29 + 33 + 39 = 380
Next, we divide the sum by the number of teachers (which is 9 in this case):
Mean age = Total sum of ages / Number of teachers Mean age = 380 / 9 ≈ 42.22
However, I see that I made a miscalculation while evaluating the sum.
Let's recheck the summation carefully:
- 34 + 41 = 75
- 75 + 35 = 110
- 110 + 27 = 137
- 137 + 44 = 181
- 181 + 48 = 229
- 229 + 29 = 258
- 258 + 33 = 291
- 291 + 39 = 330
So, the correct total is 330.
Now we divide this by the number of teachers:
Mean age = 330 / 9 = 36.67 (approximately)
Therefore, the closest answer choice is 36.7.