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Re: a, b, and c are integers in the set {a, b, c, 51,85,72}. [#permalink]
20 Sep 2013, 16:56

Expert's post

a, b, and c are integers in the set {a, b, c, 51, 85, 72}. Is the median of the set greater than 70?

The median of 6 integers is the average of the middle two, when arranged in ascending/descending order.

(1) b > c > 69 --> the least values of c and b are 70 and 71, respectively. Even if a is the smallest of the numbers the median = (70 + 71)/2>70 (the set in this case is{a, 51, 70, 71, 72, 85}). Sufficient.

(2) a < c < 71. If a=69, b=70, and c is the smallest number, then the set is {c, 51, 69, 70, 72, 85} and the median is less than 70 but if a=69, b=70, and c is the largest number, then the set is {51, 69, 70, 72, 85, c} and the median is greater than 70. Not sufficient.

Re: a, b, and c are integers in the set {a, b, c, 51,85,72}. [#permalink]
21 Sep 2013, 00:51

Well, Bunnel i have a question over here - As the question does not specify whether the integers are different or not - in that case if we take 70 and 70 in the first statement than in that case answer will be different - am i right?

Re: a, b, and c are integers in the set {a, b, c, 51,85,72}. [#permalink]
21 Sep 2013, 01:38

Expert's post

nikhilsehgal wrote:

Well, Bunnel i have a question over here - As the question does not specify whether the integers are different or not - in that case if we take 70 and 70 in the first statement than in that case answer will be different - am i right?