Find n 44 36 50 n 34 47 given the range is 18 and the median

Find n.

44, 36, 50, n, 34, 47, given the range is 18 and the median is 45.5.

Solution

Range = 50-34 = 16 which does not match with given range. So either n is equal to 32 or 52 (so that range becomes 18)

Now, if it is 32, the sorted sequence will be: 32, 34, 36, 44, 47, 50 the median will be (3rd + 4th)/2 = 40 which is wrong. But if we take n=52, median is correctly equal to 45.5

Thus n=52