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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 ## The various prices that a certain product were sold... tagged by: BTGmoderatorLU ##### This topic has 1 expert reply and 0 member replies ### Top Member ## The various prices that a certain product were sold...$10, $11,$11, $12,$12, $14,$16, $17,$21, $22 The various prices that a certain product were sold for at retailers in City X is shown above. How many prices were greater than the median price but less than the mean price? (A) None (B) One (C) Two (D) Three (E) Four The OA is B. Can any expert explain this PS question, please? I don't have it clear. Thanks. ### GMAT/MBA Expert GMAT Instructor Joined 04 Oct 2017 Posted: 551 messages Followed by: 11 members Upvotes: 180 Hello LUANDATO. Let's take a look at your question. The median price of the set consist in sum the two numbers in the middle of the set (12 and 14) and then divide the result by 2. In our case, the median price is $$\frac{12+14}{2}=\frac{26}{2}=13.$$ By the other hand, the mean price is the sum of all the numbers and then divide by the total of numbers in the set. In our case, the mean price is $$\frac{10+11+11+12+12+14+16+17+21+22}{10}=\frac{146}{10}=14,6.$$ Now, the only number on the list that satisfy the condition is 14. So, there is only ONE number such that it is greater than the median price but less than the mean price. That is why the correct option is B. I hope this clarify it to you. I'm available if you'd like any follow up. _________________ 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. • Free Practice Test & Review How would you score if you took the GMAT Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

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