Quote:
*CatchShaft writes:*
A set S contains 16 integers whose range, mode, median, and mean are all equal to 16. What is the difference between the largest and smallest possible integers that could be members of S ?
A. 16
B. 18
C. 24
D. 28
E. 32 can anyone help me with this question ?
It is a trap, range is not the constraint. I mean they are not fixing both ends simultaneously.
They are looking at one end >= median and the other end <= median one at a time.
Now this is a perfect symmetry. Think of 8 independent pairs, both summing up to 32.
Looks 32 and 0 to me. So 32.
Within this option set. Otherwise infinite possibilities, halved at 16 in terms of frequency distribution (median)
Equidistant from 16 (mean)