Question

In a company, the standard deviation of the ages of female employees is 6 years and the standard deviation of the ages of male employees is 10 years. These statistics indicate that the dispersion of age is greater for females than for males. True or False

Answer 1

The standard deviation is a statistic that measures the dispersion of a dataset relative to its mean and is calculated as the square root of the variance.  A low standard deviation means that most of the numbers are close to the average. A high standard deviation means that the numbers are more spread out. That is higher the standard deviation higher the dispersion.

Here standard deviation of female age is less than the standard deviation of male age. Hence male age is more dispersed than female age.

Therefore the statement is false.