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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 ## Which of the following distribution of numbers has the great tagged by: rolandprowess ##### This topic has 1 expert reply and 0 member replies ## Which of the following distribution of numbers has the great Which of the following distribution of numbers has the greatest standard deviation? (A) {-3, 1, 2} (B) {-2, -1, 1, 2} (C) {3, 5, 7} (D) {-1, 2, 3, 4} (E) {0, 2, 4} I'm confused between A and D. Can any experts help? ### GMAT/MBA Expert GMAT Instructor Joined 04 Oct 2017 Posted: 551 messages Followed by: 11 members Upvotes: 180 Hello. Let's take a look at your question. We first need to calculate the mean value of each set of numbers: $$M_A=0;\ M_B=0;\ M_C=5;\ M_D=2;\ M_E=2.$$ Now, we have to calculate the standard deviation of each set of numbers: $$SD_A=\sqrt{7};\ SD_B=\sqrt{\frac{10}{3}};\ SD_C=2;\ SD_D=\sqrt{\frac{14}{3}}\ and\ SD_E=\ 2.$$ So, set A has the greatest standard deviation. The correct option is A. You can discard option D because $$7>14/3,\ so\ \sqrt{7}>\sqrt{\frac{14}{3}}.$$ I hope this explanation can help you. Let me know if you have another doubt. I'm available if you'd like a 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. • Award-winning private GMAT tutoring Register now and save up to$200

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