Z is a set of positive numbers. The median of Z is greater than the mean of Z. Which of the following R must be true?
I. At least 50% of the numbers in Z are smaller than the median.
II. Less than 50% of the numbers in Z are greater than the median.
III. The median of Z is greater than the average of the largest and smallest numbers in Z.	Choose the correct answer:  A) I only  B) II only  C) III only  D) I and III only  E) R=None of the above
Condition 3 can be invalidated by: (1, 3, 4, 5)--median is equal to average of 1 and 5 and average is greater than 3.   Then, don't conditions 1 and 2 have to occur simultaneously? I reasoned this based on the word... maybe that's incorrect.   Even if not, we can rule them both out. So, R=None of the above.
<result>E</result>
Z is a set of positive numbers. The median of Z is greater than the mean of Z. Which of the following R must be true?
I. At least 50% of the numbers in Z are smaller than the median.
II. Less than 50% of the numbers in Z are greater than the median.
III. The median of Z is greater than the average of the largest and smallest numbers in Z.