{150, 260, 250, n} Which of the following could be the median of the 4 integers listed above?

{150, 260, 250, n} Which of the following could be the median of the 4 integers listed above? I. 175 II. 215 III. 235

Quiz

Answer/Solution

II and III only

Steps/Work

If 175 is the median, (n+250) / 2 = 175. Then n = 100. But n < 150, so 175 can not be the median.
If 215 is the median, (n+250) / 2 = 215. Then n = 180. Thus 215 can be the median.
If 235 is the median, (n+250) / 2 = 235. Then n = 220. Thus 235 can be the median.
The answer is D.