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The median of an set with an even number of terms is the average of the two middle terms. So, we need to think about where n could fit in the current set. There are 4 cases to consider.dikku07 wrote:150, 200, 250, n
Which of the following could be the median of the 4 integers listed above?
I. 175
II. 215
III. 235
A. I only
B. II only
C. I and II only
D. II and III only
E. I, II, and III
Thanks Stuart, thats a cleaner and quicker methodStuart Kovinsky wrote:The median of an set with an even number of terms is the average of the two middle terms. So, we need to think about where n could fit in the current set. There are 4 cases to consider.dikku07 wrote:150, 200, 250, n
Which of the following could be the median of the 4 integers listed above?
I. 175
II. 215
III. 235
A. I only
B. II only
C. I and II only
D. II and III only
E. I, II, and III
First, the two simple cases:
{n, 150, 200, 250}: median is 175
{150, 200, 250, n}: median is 225
Second, the two more complicated cases:
{150, n, 200, 250}: median could be anything between 175 (if n=150) and 200 (if n=200)
{150, 200, n, 250}: median could be anything between 200 (if n=200) and 225 (if n=250)
Putting them together:
175 <= median <= 225
So, 175 and 215 are both possible, 235 is not: choose C, I and II only.
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