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Answer :
The distribution of internet usage among University of Houston students is most likely right-skewed, as the mean is greater than the median in a single-peaked distribution. So, the correct option is a.
The student's question is concerning the shape of the distribution of internet usage among University of Houston students.
Given that the mean number of hours is 5.37 and the median number of hours is 2.48, and assuming that the distribution is single-peaked, we can deduce the shape of the distribution.
Typically, when the mean is greater than the median, and the distribution is single-peaked, it is indicative of a right-skewed distribution.
This is because having some very high values (internet usage in this case) can pull the mean higher, whereas the median, being resistant to extreme values, represents the middle value and thus remains lower.
In a symmetric distribution, we would expect the mean and median to be close to each other.
A left-skewed distribution would see the mean being lower than the median, which is not the case here.
A bimodal distribution suggests two peaks, which isn't mentioned in the problem.
Therefore, the most likely correct answer is: a) The distribution is right-skewed.
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