Which of the following CANNOT be the median E of the four consecutive positive integers w, x, y, and z, where w < x < y < z ?  Choose the correct choice
A) (w+x)/2 - 1 B) (w+z)/2 C) (x+y)/2 D) (y+z)/2 -1 E) (w+x+y+z)/4
Using the properties of consecutive positive integers we could right away eliminate B,C and E.   (B) - The average of first and last terms is the median   (C) - For even number of integers, the median is the average of middle terms   (E) - The average is equal to median if the integers are consecutive   Remaining answer choices are A and D.   For A, the average of first two consecutive numbers (w,x) will definitely be less than x making it impossible to be a median E.   (w+x)/2 - 1nswer ((w+x)/2 - 1)
<result>A</result>
Which of the following CANNOT be the median E of the four consecutive positive integers w, x, y, and z, where w < x < y < z ?