To find the population variance, we need to first find the mean of the ages and then calculate the sum of the squared differences between each age and the mean, divided by the total number of observations.
The mean of the ages is:
mean = (38 + 26 + 13 + 41 + 22) / 5 = 28
The sum of the squared differences between each age and the mean is:
(38 - 28)^2 + (26 - 28)^2 + (13 - 28)^2 + (41 - 28)^2 + (22 - 28)^2 = 1000
The population variance is the sum of the squared differences divided by the total number of observations:
variance = 1000 / 5 = 200
Therefore, the population variance is 200, which is not one of the answer choices provided.
We can find the population standard deviation by taking the square root of the variance:
standard deviation = sqrt(variance) = sqrt(200) = 14.14
None of the answer choices provided match this value exactly, but (e) "None of the above" is the closest answer.