A researcher has a set of positive numbers. No numbers are duplicates. The mean is greater than

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A researcher has a set of positive numbers. No numbers are duplicates. The mean is greater than the median. Which of the following statements is true? 

a. It is likely that more of the numbers are greater than the mean than are less than the mean.
b. It is likely that more of the numbers are less than the mean than are greater than the mean.
c. It is likely that more of the numbers are greater than the median than are less than the median.
d. It is likely that more of the numbers are less than the median than are greater than the median.
e. None of these statements is likely true.

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