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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 ## If the median and the range of the data set 1, 1, 2, 2, 3, 3 tagged by: Max@Math Revolution ##### This topic has 4 expert replies and 0 member replies ### GMAT/MBA Expert ## If the median and the range of the data set 1, 1, 2, 2, 3, 3 ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult [Math Revolution GMAT math practice question] If the median and the range of the data set 1, 1, 2, 2, 3, 3, 4, 4, m are the same, which of the following could be the value of m? A. -1 B. 0 C. 1 D. 2 E. 3 _________________ Math Revolution Finish GMAT Quant Section with 10 minutes to spare. The one-and-only Worldâ€™s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. Only$149 for 3 month Online Course
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Max@Math Revolution wrote:
[Math Revolution GMAT math practice question]

If the median and the range of the data set 1, 1, 2, 2, 3, 3, 4, 4, m are the same, which of the following could be the value of m?

A. -1
B. 0
C. 1
D. 2
E. 3
We can PLUG IN THE ANSWERS, which represent the value of m.
When the correct answer is plugged in, the median will be equal to the range.
Note:
When the prompt includes the phrase which of the following, the correct answer is likely to be D or E.

E: m=3
Resulting set: 1, 1, 2, 2, m=3, 3, 3, 4, 4
Median = 3
Range = 4-1 = 3
Success!

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Max@Math Revolution wrote:
[Math Revolution GMAT math practice question]

If the median and the range of the data set 1, 1, 2, 2, 3, 3, 4, 4, m are the same, which of the following could be the value of m?

A. -1
B. 0
C. 1
D. 2
E. 3
$$?\,\, = m\,\,\,\,\,\,\left( {{\rm{range = median}}} \right)$$
$$m < 4\,\,\,\left( {{\rm{alternative}}\,\,{\rm{choices}}} \right)\,\,\,\,\, \Rightarrow \,\,\,\,\,\,{\rm{range}} = \left\{ \matrix{ \,4 - 1 = 3\,\,\,{\rm{if}}\,\,\,m \in \left\{ {1,2,3} \right\}\,\,\,\,\left( * \right) \hfill \cr \,4 - 0 = 4\,\,\,{\rm{if}}\,\,\,m = 0 \hfill \cr \,4 - \left( { - 1} \right) = 5\,\,\,{\rm{if}}\,\,\,m = - 1 \hfill \cr} \right.$$
$$m = 3\,\,\,\,\, \Rightarrow \,\,\,\,\,{\rm{range}}\mathop = \limits^{\left( * \right)} 3 = {\rm{median}}\left( {\left\{ {1,1,2,2,3,3,4,4} \right\} \cup \left\{ 3 \right\}} \right)\,\,\,\,\,\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\,\,\,\,\left( {\rm{E}} \right)$$

This solution follows the notations and rationale taught in the GMATH method.

Regards,
Fabio.

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If 3 â‰¤ m â‰¤ 4, then the median is 3 and the range of the data is 3. Thus, any number between 3 and 4, inclusive, is possible.
If 2 â‰¤ m < 3, then the median is m and the range of the data is 3. Thus, there is no possible value of m in the interval 2 â‰¤ m < 3.
If m < 2, then the median is 2 and the range of the data is greater than 2. Thus, there is no possible value of m less than 2.
If m > 4, then the median is 3 and the range of the data is greater than 3. Thus, there is no possible value of m greater than 4.

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Only $149 for 3 month Online Course Free Resources-30 day online access & Diagnostic Test Unlimited Access to over 120 free video lessons-try it yourself Email to : info@mathrevolution.com ### GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 2791 messages Followed by: 18 members Upvotes: 43 Max@Math Revolution wrote: [Math Revolution GMAT math practice question] If the median and the range of the data set 1, 1, 2, 2, 3, 3, 4, 4, m are the same, which of the following could be the value of m? A. -1 B. 0 C. 1 D. 2 E. 3 If we let m = -1, then the median is 2, but the range is 4 - (-1) = 5. If we let m = 0, then the median is 2, but the range is 4 - 0 = 4. If we let m = 1, then the median is 2, but the range is 4 - 1 = 3. If we let m = 2, then the median is 2, but the rage is 4 - 1 = 3. If we let m = 3, then the median is 3 and the range is 3. Answer: E _________________ 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 • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE Available with Beat the GMAT members only code • 1 Hour Free BEAT THE GMAT EXCLUSIVE 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 • 5 Day FREE Trial Study Smarter, Not Harder Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

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