Question
A local swim club offers competitive meets throughout the season. Some races are open competitions with no qualifying times. Other races are qualified competitions .
A local swim club offers competitive meets throughout the season. Some races areopen competitionswith no qualifying times. Other races arequalified competitions. For example, 15- to 16-year-old girls are eligible to swim the 100-meter freestyle in aqualified competitionif they posted a time of 1-minute 8-second time or less during the qualifying period. Consider the group of 15- to 16-year-old females who swim the 100-meter freestyle in theopen competitionsand the group of 15- to 16-year-old females who swim the 100-meter freestyle in thequalified competitions.
Which group's distribution of race times would most likely have the largest standard deviation?
A) The group competing in the open competitions is most likely to have a higher standard deviation than the group competing in the qualified competitions.
B) The group competing in the qualified competitions is most likely to have a higher standard deviation than the group competing in the open competitions.
C) Some swimmers will swim in both competitions. So both groups will likely have the same standard deviation.
D) There is not enough information to predict the relative sizes of their standard deviations.
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