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The mean age is calculated by adding up all the ages and dividing by the total number of employees.
Mean age = (34 + 41 + 28 + 35 + 27 + 44 + 48 + 29 + 33 + 39) / 10
Mean age = 348 / 10
Mean age = 34.8
Therefore, the mean age of the randomly selected employees is 34.8 years.
So, the closest answer is 35.8.