Question

The ages, in years, of randomly selected teachers at INCA are 34, 41, 35, 27, 44, 48, 29, 33, and 39. Determine the mean age. (1 point)
Responses

37.7
37.7

39.7
39.7

35.7
35.7

36.7

Answer 1

To calculate the mean age of the teachers, you need to sum all the ages and then divide by the number of teachers.

The ages are: 34, 41, 35, 27, 44, 48, 29, 33, and 39.

1. **Sum the ages**:
\[
34 + 41 + 35 + 27 + 44 + 48 + 29 + 33 + 39 = 34 + 41 = 75
\]
\[
75 + 35 = 110
\]
\[
110 + 27 = 137
\]
\[
137 + 44 = 181
\]
\[
181 + 48 = 229
\]
\[
229 + 29 = 258
\]
\[
258 + 33 = 291
\]
\[
291 + 39 = 330
\]

So, the total sum of the ages is 330.

2. **Count the number of teachers**:
There are 9 ages.

3. **Calculate the mean**:
\[
\text{Mean} = \frac{\text{Total Sum}}{\text{Number of Teachers}} = \frac{330}{9} \approx 36.7
\]

Thus, the mean age of the teachers at INCA is approximately **36.7**.