There are 5 integers such that the difference of the biggest number an

With 5 integers, median will be the middle number.

5 integers: ______, _______, M, ______, M+3

Question: Is the average smaller than M?
In other words, from M, is the deviation of integers smaller than M more than the deviation of integers greater than M?

Since the greatest integer is M+3, we know that the maximum deviation of numbers greater than M, from M is 3 + 3 = 6 (in case both numbers are M+3).


1) The median of the 5 integers is 16.
Tells us nothing about the deviation of integers.
Not sufficient.

2) The difference of the median and the smallest number is 8.
The smallest number has a deviation of 8 from M. This means that the deviation of numbers smaller than M IS CERTAINLY MORE THAN the deviation of numbers greater than M (which is 6).
Sufficient.

Answer (B)

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