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)

Question

Responses

35.8
35.8

36.7
36.7

37.8
37.8

39.8

Answer 1

To find the mean age, 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. First, sum the ages: \( 34 + 41 + 35 + 27 + 44 + 48 + 29 + 33 + 39 = 374 \)

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

3. Now, calculate the mean: \( \text{Mean} = \frac{374}{9} \approx 41.56 \)

Since the calculated mean isn't aligned with the response options provided, there might have been a miscalculation. I will recheck the summation:

1. Calculate \( 34 + 41 + 35 + 27 + 44 + 48 + 29 + 33 + 39 \):
   • \( 34 + 41 = 75 \)
   • \( 75 + 35 = 110 \)
   • \( 110 + 27 = 137 \)
   • \( 137 + 44 = 181 \)
   • \( 181 + 48 = 229 \)
   • \( 229 + 29 = 258 \)
   • \( 258 + 33 = 291 \)
   • \( 291 + 39 = 330 \)

The sum should actually be 330, not 374.

Now, divide the total sum by the number of teachers: \[ \text{Mean} = \frac{330}{9} \approx 36.67 \]

Thus, the correct answer is: 36.7