chetan86 wrote:
When one new number is included in an existing set of 6 numbers, does the median of the set change?
(1) The mean of the original 6 numbers is 50.
(2) At least 2 of the numbers in the original set were 50.
If the set is {50, 50, 50, 50, 50, 50}, then no matter what number we add the median (50) will not change.
If the set is {0, 0, 0, 50, 50, 200}, the median = (0 + 50)/2 = 25, and if new number is between 0 and 50, but not 25, for example 10, then the median will change.
Answer: E.
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