The following nine values represent race finish times in hours for a randomly selected group of participants in an extreme 10k race (a 10k race with obstacles). Which of the following is closest to the mean of the following data set?
1.0, 1.2, 1.2, 1.3, 1.4, 1.5, 1.5, 1.7, 2.1
A) $ \bar{x} $ is about $ 1.6 $ hours
B) $ \bar{x} $ is about $ 1.1 $ hours
C) $ \bar{x} $ is about $ 1.3 $ hours
D) $ \bar{x} $ is about $ 1.4 $ hours

Question

The following nine values represent race finish times in hours for a randomly selected group of participants in an extreme 10k race (a 10k race with obstacles). Which of the following is closest to the mean of the following data set?
1.0, 1.2, 1.2, 1.3, 1.4, 1.5, 1.5, 1.7, 2.1 
A) $ \bar{x} $ is about $ 1.6 $ hours
B) $ \bar{x} $ is about $ 1.1 $ hours
C) $ \bar{x} $ is about $ 1.3 $ hours
D) $ \bar{x} $ is about $ 1.4 $ hours

Quizplus · Accepted Answer

The mean is calculated by summing all the values and dividing by the number of values: (1.0 + 1.2 + 1.2 + 1.3 + 1.4 + 1.5 + 1.5 + 1.7 + 2.1) / 9 = 13.9 / 9 ≈ 1.544, which is closest to 1.4 hours.

The Following Nine Values Represent Race Finish Times in Hours xˉ \bar{x} xˉ

The Following Nine Values Represent Race Finish Times in Hours $\bar{x}$