If a, b, c, d, and e are integers, is the median of the integers great

Question

If a, b, c, d, and e are integers, is the median of the integers greater than the average (arithmetic mean) of the integers?

(1) a < b < c < d < e
(2) b - a = e - d

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LunaticMaestro · Answer

Take two examples

(1,2,3,4)

(2,5,6,30,33)

For each of the examples the given conditions are inconclusive

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saurabh1107 · Answer

1st statement: a<b<c<d<e : It gives us our answer for the median integer  c . But we cannot conclude anything about average (a+b+c+d+e)/5

2nd statement: b - a = e - d : b+d = a+e , It does not answer about median. 
average = (a+b+c+d+e)/5 , let b+d = a+e = k. 
average = (2k + c)/5. we cannot conclude anything about average.

combining both statement: we got median as  c  from statement 1, but cannot conclude about average from both both the statement.

answer is E

kabirgandhi · Answer

a,b,c,d,e are integers.

Q: Is median> mean? Rephrased Question: Is this an equally spaced set?

1) a<b<c<d<e, tells us that all are not equal, however, it could be in the form of 1,2,3,4,5 which is still an equally spaced set, and has mean = median; therefore, not sufficient.
2) b-a = e-d, tells us nothing other than the difference bw a and b is the same as that bw d and e
1) + 2) set could be in the form of 1,2,3,4,5, in which case mean = median, or 0,2,3,5,7, in which case mean is not equal to median.

Therefore, all insufficient, answer E

If a, b, c, d, and e are integers, is the median of the integers great

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GMAT Data Sufficiency (DS) Questions

If a, b, c, d, and e are integers, is the median of the integers great

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards