Question

The mean age of 11 women in an office is 19 years old. The mean age of 11 men in an office is 26 years old. What is the mean age (nearest year) of all the people in the office?

Answer 1

22.5

Explanation:

The mean is calculated by taking the sum of the values and dividing by the count.

For instance, for the 11 women, with the mean being 19, we can see that the ages summed to 209:

11 x 19 = 209

And then we can do the same for men:

11 x 26 = 286

And now we can combine the sum and count of the men and women to find the mean for the office:

286 + 209 = 495

495/22 = 22.5