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 groups distribution of race times would most likely have the largest standard deviation?
- The group competing in theopen competitionsis most likely to have a higher standard deviation than the group competing in thequalified competitions.
- The group competing in thequalified competitionsis most likely to have a higher standard deviation than the group competing in theopen competitions.
- Both groups would likely have the same standard deviation.
- There is not enough information to predict the relative sizes of their standard deviations.
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