Below is the standard deviation for extreme 10k finish times for a randomly selected group of women and men. Chose the statement that best summarizes the meaning of the standard deviation.
Women: $$s = 0.17 \quad \text { Men: } s = 0.21$$
A) The distribution of women's finish times is less varied than the distribution of men's finish times.
B) On average, men's finish times will be 0.21 hours faster than the overall average finish time.
C) On average, women's finish times will be 0.17 hours less than men's finish times.
D) The distribution of men's finish times is less varied than the distribution of women's finish times.

Question

Quizplus · Accepted Answer

The standard deviation measures the amount of variation or dispersion in a set of values. A smaller standard deviation indicates that the values are closer to the mean, meaning less variability. Therefore, the women's finish times are less varied than the men's finish times.

Below Is the Standard Deviation for Extreme 10k Finish Times s=0.17 Men: s=0.21s = 0.17 \quad \text { Men: } s = 0.21s=0.17 Men: s=0.21

Below Is the Standard Deviation for Extreme 10k Finish Times $s = 0.17 \quad \text { Men: } s = 0.21$