Below is the standard deviation for extreme 10k finish times for a randomly selected group of women and men. Choose the statement that best summarizes the meaning of the standard deviation. Women: s0.16 Men: s = 0.25 OA. The distribution of men's finish times is less varied than the distribution of women's finish times. OB. On average, men's finish times will be 0.25 hours faster than the overall average finish time OC. On average, women's finish times will be 0.16 hours less than men's finish times. OD. The distribution of women's finish times is less varied than the distribution of men's finish times.
Question
Below is the standard deviation for extreme 10k finish times for a randomly selected group of women and men. Choose the statement that best summarizes the meaning of the standard deviation. Women: s0.16 Men: s = 0.25 OA. The distribution of men's finish times is less varied than the distribution of women's finish times. OB. On average, men's finish times will be 0.25 hours faster than the overall average finish time OC. On average, women's finish times will be 0.16 hours less than men's finish times. OD. The distribution of women's finish times is less varied than the distribution of men's finish times.
Solution
The correct answer is OD. The distribution of women's finish times is less varied than the distribution of men's finish times.
Standard deviation is a measure of the amount of variation or dispersion in a set of values. A low standard deviation means that the values tend to be close to the mean (average) of the set, while a high standard deviation means that the values are spread out over a wider range.
In this case, the standard deviation for women's finish times is 0.16, and for men's finish times it's 0.25. This means that the finish times for men are more spread out and varied than the finish times for women.
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