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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 ## Statistics and set problems tagged by: BTGmoderatorRO ##### This topic has 2 expert replies and 0 member replies ## Statistics and set problems During an experiment, the temperature of a liquid was measured several times. The temperatures, in degree Celsius, listed in increasing order, are 21, 25, x, 40, and 50. If the arithmetic mean of these temperatures is equal to the median, what is the value of x? A. 34 B. 35 C. 36 D. 37 E. 38 OA is a Can anyone help me here with approach to use in getting the best fit answer to the question? statistics is always a problem for me Thank you so much for your help ### GMAT/MBA Expert Elite Legendary Member Joined 23 Jun 2013 Posted: 10197 messages Followed by: 497 members Upvotes: 2867 GMAT Score: 800 Hi Roland2rule, We're given 5 numbers in INCREASING order: 21, 25, X, 40, and 50 and we're told that the AVERAGE of these temperatures is equal to the MEDIAN of the numbers. We're asked for the value of X. The median of 5 numbers (in order) will be the 3rd number (in this case, since we know the 5 numbers are in INCREASING order, the median will be X). Since the average equals the median, we can set up the following equation: (21+25+X+40+50)/5 = X 136+X = 5X 136 = 4X 34 = X Final Answer: A GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at Rich.C@empowergmat.com ### GMAT/MBA Expert GMAT Instructor Joined 04 Oct 2017 Posted: 551 messages Followed by: 11 members Upvotes: 180 Quote: During an experiment, the temperature of a liquid was measured several times. The temperatures, in degree Celsius, listed in increasing order, are 21, 25, x, 40, and 50. If the arithmetic mean of these temperatures is equal to the median, what is the value of x? A. 34 B. 35 C. 36 D. 37 E. 38 OA is a Can anyone help me here with approach to use in getting the best fit answer to the question? statistics is always a problem for me Crying or Very sad Thank you so much for your help Hi Roland2rule, Let's take a look at your question. The temperatures, in degree Celsius, listed in increasing order, are: $$21,\ 25,\ X,\ 40,\ 50$$ We know that if we have odd number of values arranged in ascending or descending order, the middle value is known as median. Hence, for the temperatures, listed in increasing order: MEDIAN = X Now, let's find the arithmetic mean of the temperatures. Arithmetic Mean = Sum of Values / Number of Values $$=\frac{\left(21+25+X+40+50\right)}{5}$$ $$=\frac{\left(136+X\right)}{5}$$ Th question states: If the arithmetic mean of these temperatures is equal to the median, what is the value of x? MEDIAN = ARITHMETIC MEAN $$X=\frac{\left(136+X\right)}{5}$$ $$5X=136+X$$ $$5X-X=136$$ $$4X=136$$ $$X=\frac{136}{4}$$ $$X=34$$ Therefore, Option A is correct. Hope it helps. I am 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 Veritas GMAT Class Experience Lesson 1 Live Free Available with Beat the GMAT members only code • Free Trial & Practice Exam 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 • Award-winning private GMAT tutoring Register now and save up to$200

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