In Set T, the average (arithmetic mean) equals the median R. Which of the following must be true?
I. Set T consists of evenly spaced numbers.
II. Set T consists of an odd number of terms.
III. Set T has no mode.
IV. None of the above. Choose the correct choice from the following choices:
A) I only	B) I and II	C) II and III	D) I, II, and III	E) IV only
This is a very good 'trap question'.   Consider Set A= { 0,0,0,0 } Mean=Median=Mode=0- Eliminates 1,2 and 3 OR   Consider Set B= {1,2,2,3 } Mean=Median=Mode=2- Eliminates 1,2 and 3   If you think that only in 'consecutive integers' the average is equal to the median R you might fall for 'D'.   Ans: IV only
<result>E</result>
In Set T, the average (arithmetic mean) equals the median R. Which of the following must be true?
I. Set T consists of evenly spaced numbers.
II. Set T consists of an odd number of terms.
III. Set T has no mode.
IV. None of the above.