Bunuel
A set of 11 different integers has a median of 25 and a range of 50. What is the greatest possible integer that could be in this set?
A. 65
B. 70
C. 75
D. 80
E. 85
Lets use the plug-in method.
Range = Highest(H)-Lowest(L) in a set. Hence H-L=50
Lets try the options, always start with the middle number
option C: 75-L=50 > 75-50=L> L=25
but we know since median(6th number in the set) is 25 and all numbers are
DIFFERENT, Lowest number will not be 25, infact it will be less than 25
Eliminate 75 and any option greater than it> eliminate C,D,E
This leaves us with A:65 and B:70
Lets try B
70-50=L=20 . Correct Lowest number in the set can be 20
try A
65-50=L=15 . Again Correct
But our aim is to find the
greatest possible value for H. Hence, our answer is B:70