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The ages, in years, of randomly selected employees are: 34, 41, 28, 35, 27, 44, 48, 29, 33, and 39.

Determine the mean age.

A. 37.8
B. 39.8
C. 36.8
D. 35.8

Answer :

To find the mean age, we use the formula for average:

[tex]$$
\text{mean} = \frac{\text{sum of all ages}}{\text{number of employees}}.
$$[/tex]

Step 1: Calculate the sum of the ages.
The ages are:
[tex]$$34,\, 41,\, 28,\, 35,\, 27,\, 44,\, 48,\, 29,\, 33,\, \text{and } 39.$$[/tex]

Adding these together, we get:
[tex]$$
34 + 41 + 28 + 35 + 27 + 44 + 48 + 29 + 33 + 39 = 358.
$$[/tex]

Step 2: Determine the number of employees.
There are 10 employees.

Step 3: Compute the mean age.
Using the formula:
[tex]$$
\text{mean} = \frac{358}{10} = 35.8.
$$[/tex]

Thus, the mean age is [tex]$\boxed{35.8}$[/tex].

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