Multiple choice

A group of 30 employees of Cadre A has a mean age of 27. A different group of 70 employees of Cadre B has a mean age of 23. What is the mean age of the employees of the two groups together?

  1. 23

  2. 24.2

  3. 25

  4. 26.8

  5. 27
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B Correct answer
Explanation

Total age = (30 * 27) + (70 * 23) = 810 + 1610 = 2420. Total employees = 100. Mean = 2420 / 100 = 24.2.

AI explanation

The combined mean is the sum of all values divided by the total number of values. The sum of the ages of Cadre A is 30 times 27, which is 810, and the sum for Cadre B is 70 times 23, which is 1610. Dividing the total sum of 2420 by the total number of 100 employees gives a mean age of 24.2.

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