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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 ## Set S = {1, 2, 3, 4, 5, 6, 7, x} If x is an integer tagged by: VJesus12 ##### This topic has 1 expert reply and 0 member replies ## Set S = {1, 2, 3, 4, 5, 6, 7, x} If x is an integer Set S = {1, 2, 3, 4, 5, 6, 7, x} If x is an integer, which of the following could be the median of Set S? A. 3.75 B. 4.25 C. 4.5 D. 5 E. 5.25 The OA is the option C. How can I find the median without knowing the value of x? Should I assume that x>7? I am a little confused. Experts, may you help me? Thanks in advanced. ### GMAT/MBA Expert GMAT Instructor Joined 04 Oct 2017 Posted: 551 messages Followed by: 11 members Upvotes: 180 Top Reply VJesus12 wrote: Set S = {1, 2, 3, 4, 5, 6, 7, x} If x is an integer, which of the following could be the median of Set S? A. 3.75 B. 4.25 C. 4.5 D. 5 E. 5.25 The OA is the option C. How can I find the median without knowing the value of x? Should I assume that x>7? I am a little confused. Experts, may you help me? Thanks in advanced. Hello Vjesus12. Let's see your questions. Since all the numbers are sorted, we can assume that x>7. Now, as the set S has an even number of elements (8), the median is given by (a+b)/2, where "a" and "b" are the numbers on the middle of the set. In our case, a=4 and b=5. Therefore, the median is $$M=\frac{4+5}{2}=\frac{9}{2}=4.5.$$ This is why the correct answer is the option C=4.5. I hope this answer can help you. Feel free to ask me again if you have a doubt. Regards. _________________ GMAT Prep From The Economist We offer 70+ point score improvement money back guarantee. Our average student improves 98 points. Free 7-Day Test Prep with Economist GMAT Tutor - Receive free access to the top-rated GMAT prep course including a 1-on-1 strategy session, 2 full-length tests, and 5 ask-a-tutor messages. Get started now. • 5 Day FREE Trial Study Smarter, Not Harder Available with Beat the GMAT members only code • 1 Hour Free BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • Award-winning private GMAT tutoring Register now and save up to$200

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