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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## If the mean of the set S is 14 then find the Median of the s tagged by: M7MBA ##### This topic has 1 expert reply and 0 member replies ## If the mean of the set S is 14 then find the Median of the s If the mean of the set S is 14 then find the Median of the set 1) Sets S = {2, 5, 14, 30, x, y} 2) Range of Set S = 28 The OA is E. Why is not possible to find the Median of the set? May any expert help me? I am confused. ### GMAT/MBA Expert Legendary Member Joined 14 Jan 2015 Posted: 2667 messages Followed by: 122 members Upvotes: 1153 GMAT Score: 770 Top Reply M7MBA wrote: If the mean of the set S is 14 then find the Median of the set 1) Sets S = {2, 5, 14, 30, x, y} 2) Range of Set S = 28 The OA is E. Why is not possible to find the Median of the set? May any expert help me? I am confused. Statement 1: If the mean of a 6 element set is 14, we know the sum = 6*14 = 84. So 2 + 5 + 14 + 30 + x + y = 84 51 + x + y = 84 x+ y = 33 Case 1: x = 15, y = 18. Our set ( 2, 5, 14, 15, 18, 30) Median = (14 + 15)/2 = 29/2 Case 2: x = 16, y = 17. Our set (2, 5, 14, 16, 17, 30) Median = (14 + 16)/2 = 30/2. We can generate more than one value, so this statement alone is not sufficient. Statement 2: if the range is 28, it just means that we know x and y are somewhere in between 2 and 30. We could reuse both cases from statement 1, so we can already see that together, we can generate more than value for the median of the set. The statement alone is not sufficient and the statements together are not sufficient. The answer is E. _________________ Veritas Prep | GMAT Instructor Veritas Prep Reviews Save$100 off any live Veritas Prep GMAT Course

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