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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 arithmetic mean of a data set is 46 and the standard tagged by: Gmat_mission ##### This topic has 3 expert replies and 0 member replies ### Top Member ## The arithmetic mean of a data set is 46 and the standard ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult The arithmetic mean of a data set is 46 and the standard deviation of the set is 4. Which of the following contains the interval two standard deviations from the mean of the set? (A) 38 to 46 (B) 38 to 54 (C) 42 to 50 (D) 44 to 48 (E) 46 to 50 OA=B Source: Princeton Review ### GMAT/MBA Expert GMAT Instructor Joined 08 Dec 2008 Posted: 12982 messages Followed by: 1249 members Upvotes: 5254 GMAT Score: 770 Top Reply Gmat_mission wrote: The arithmetic mean of a data set is 46 and the standard deviation of the set is 4. Which of the following contains the interval two standard deviations from the mean of the set? (A) 38 to 46 (B) 38 to 54 (C) 42 to 50 (D) 44 to 48 (E) 46 to 50 OA=B Source: Princeton Review -----------ASIDE----------------- A little extra background on standard deviations above and below the mean If, for example, a set has a standard deviation of 4, then: 1 standard deviation = 4 2 standard deviations = 8 3 standard deviations = 12 1.5 standard deviations = 6 0.25 standard deviations = 1 etc So, if the mean of a set is 9, and the standard deviation is 4, then: 2 standard deviations ABOVE the mean = 17 [since 9 + 2(4) = 17] 1.5 standard deviations BELOW the mean = 3 [since 9 - 1.5(4) = 3] 3 standard deviations ABOVE the mean = 21 [since 9 + 3(4) = 21] etc. ---------------------------------- The arithmetic mean of a data set is 46 and the standard deviation of the set is 4. Which of the following contains the interval two standard deviations from the mean of the set? 2 standard deviations ABOVE the mean = 46 + 2(4) = 54 2 standard deviations BELOW the mean = 46 - 2(4) = 38 The range = 38 to 54 Answer: B Cheers, Brent _________________ Brent Hanneson â€“ Creator of GMATPrepNow.com Use my video course along with Sign up for free Question of the Day emails And check out all of these free resources GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMATâ€™s FREE 60-Day Study Guide and reach your target score in 2 months! ### GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 2801 messages Followed by: 18 members Upvotes: 43 Gmat_mission wrote: The arithmetic mean of a data set is 46 and the standard deviation of the set is 4. Which of the following contains the interval two standard deviations from the mean of the set? (A) 38 to 46 (B) 38 to 54 (C) 42 to 50 (D) 44 to 48 (E) 46 to 50 OA=B Source: Princeton Review Two standard deviations above the mean is 46 + 2(4) = 46 + 8 = 54. Two standard deviations below the mean is 46 - 2(4) = 46 - 8 = 38. Answer: B _________________ Scott Woodbury-Stewart Founder and CEO scott@targettestprep.com See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews Joined 31 Dec 1969 • Free Trial & Practice Exam BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • 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 • 5-Day Free Trial 5-day free, full-access trial TTP Quant Available with Beat the GMAT members only code • Free Practice Test & Review How would you score if you took the GMAT Available with Beat the GMAT members only code • Magoosh Study with Magoosh GMAT prep Available with Beat the GMAT members only code • Free Veritas GMAT Class Experience Lesson 1 Live Free Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

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