3. The amount of time (in minutes) it took each individual in a sample of athletes to run a mile was recorded. In this particular sample, most of the athletes were able to run the mile quickly, but there were a small number of athletes who were not fast runners and needed more time to complete the mile. Two measures of center were computed for this sample: 12.9 minutes and 9.5 minutes. One of these measures is the mean and one is the median. Which measure must be the mean?

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3. The amount of time (in minutes) it took each individual in a
sample of athletes to run a mile was recorded. In this
particular sample, most of the athletes were able to run the
mile quickly, but there were a small number of athletes who
were not fast runners and needed more time to complete the
mile. Two measures of center were computed for this
sample: 12.9 minutes and 9.5 minutes. One of these
measures is the mean and one is the median. Which
measure must be the mean?
A. The mean is 9.5 minutes because the distribution of
running times would be skewed to the left.
B. The mean is 9.5 minutes because the distribution of
running times would be skewed to the right.
c. The mean is 12.9 minutes because the distribution of
running times would be skewed to the left.
D. The mean is 12.9 minutes because the distribution
running times would be skewed to the right.
Transcribed Image Text:3. The amount of time (in minutes) it took each individual in a sample of athletes to run a mile was recorded. In this particular sample, most of the athletes were able to run the mile quickly, but there were a small number of athletes who were not fast runners and needed more time to complete the mile. Two measures of center were computed for this sample: 12.9 minutes and 9.5 minutes. One of these measures is the mean and one is the median. Which measure must be the mean? A. The mean is 9.5 minutes because the distribution of running times would be skewed to the left. B. The mean is 9.5 minutes because the distribution of running times would be skewed to the right. c. The mean is 12.9 minutes because the distribution of running times would be skewed to the left. D. The mean is 12.9 minutes because the distribution running times would be skewed to the right.
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