Oct 14 08:00 PM PDT  11:00 PM PDT Join a 4day FREE online boot camp to kick off your GMAT preparation and get you into your dream bschool in R2.**Limited for the first 99 registrants. Register today! Oct 15 12:00 PM PDT  01:00 PM PDT Join this live GMAT class with GMAT Ninja to learn to conquer your fears of long, kooky GMAT questions. Oct 16 08:00 PM PDT  09:00 PM PDT EMPOWERgmat is giving away the complete Official GMAT Exam Pack collection worth $100 with the 3 Month Pack ($299) Oct 19 07:00 AM PDT  09:00 AM PDT Does GMAT RC seem like an uphill battle? eGMAT is conducting a free webinar to help you learn reading strategies that can enable you to solve 700+ level RC questions with at least 90% accuracy in less than 10 days. Sat., Oct 19th at 7 am PDT Oct 20 07:00 AM PDT  09:00 AM PDT Get personalized insights on how to achieve your Target Quant Score.
Author 
Message 
TAGS:

Hide Tags

Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 8001
GPA: 3.82

If the median and the range of the data set 1, 1, 2, 2, 3, 3, 4, 4, m
[#permalink]
Show Tags
16 Jan 2019, 01:21
Question Stats:
72% (00:59) correct 28% (01:27) wrong based on 45 sessions
HideShow timer Statistics
[ 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 \(m\)? \(A. 1\) \(B. 0\) \(C. 1\) \(D. 2\) \(E. 3\)
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
MathRevolution: Finish GMAT Quant Section with 10 minutes to spareThe oneandonly World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only $79 for 1 month Online Course""Free Resources30 day online access & Diagnostic Test""Unlimited Access to over 120 free video lessons  try it yourself"



Senior Manager
Joined: 21 Jan 2015
Posts: 458
Location: India
Concentration: Strategy, Marketing
GMAT 1: 620 Q48 V28 GMAT 2: 690 Q49 V35
WE: Sales (Consumer Products)

Re: If the median and the range of the data set 1, 1, 2, 2, 3, 3, 4, 4, m
[#permalink]
Show Tags
16 Jan 2019, 02:04
Ans: E There are 9 numbers so median in the series is 5th number which is 3. Now for Range to be 3: Max element Min element = 3 so m1 = 3; so m=4, which is not in the answers. Now if m =3 then median remains the same and range = median so m=3 is the answer. check if m=2 then range is 3 but median will be 2; not possible. Ans: E MathRevolution 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 \(m\)? \(A. 1\) \(B. 0\) \(C. 1\) \(D. 2\) \(E. 3\)
_________________
 The Mind is Everything, What we Think we Become.



Manager
Joined: 01 May 2017
Posts: 82
Location: India

If the median and the range of the data set 1, 1, 2, 2, 3, 3, 4, 4, m
[#permalink]
Show Tags
16 Jan 2019, 02:12
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?
'm' may take any value median can take only two values, 1) median = 2 if m <= 2 2) median = 3 if m>=3
But m <= 2 doesn't satisfy the condition median = range Range = Max  Min consider m = 2 median = 2 Range = 4(2) = 6 median != Range
Or m = 2 Range = 41 = 3 median = 2
2) Let median = 3, range should be 3 implies max  min = 3 41 = 3 So, in order to satisfy above condition m should be 3 OR 4
OR we can solve it logically 1) median = 2 if m <= 2 2) median = 3 if m>=3
From given 41 = 3 (Range) and clearly it can't be less than 3, so m = 3 OR 4 are the only possibilities But in option we have only 3
Option E is correct



Senior Manager
Joined: 04 Aug 2010
Posts: 474
Schools: Dartmouth College

Re: If the median and the range of the data set 1, 1, 2, 2, 3, 3, 4, 4, m
[#permalink]
Show Tags
16 Jan 2019, 04:23
MathRevolution 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 = 41 = 3 Success!
_________________
GMAT and GRE Tutor Over 1800 followers GMATGuruNY@gmail.com New York, NY If you find one of my posts helpful, please take a moment to click on the "Kudos" icon. Available for tutoring in NYC and longdistance. For more information, please email me at GMATGuruNY@gmail.com.



GMATH Teacher
Status: GMATH founder
Joined: 12 Oct 2010
Posts: 935

Re: If the median and the range of the data set 1, 1, 2, 2, 3, 3, 4, 4, m
[#permalink]
Show Tags
16 Jan 2019, 05:17
MathRevolution 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 \(m\)? \(A. 1\) \(B. 0\) \(C. 1\) \(D. 2\) \(E. 3\) \(?\,\, = m\,\,\,\,\,\,\left( {{\rm{range = median}}} \right)\) \(m < 4\,\,\,\left( {{\rm{alternative}}\,\,{\rm{choices}}} \right)\,\,\,\,\, \Rightarrow \,\,\,\,\,\,{\rm{range}} = \left\{ \matrix{ \,4  1 = 3\,\,\,{\rm{if}}\,\,\,m \in \left\{ {1,2,3} \right\}\,\,\,\,\left( * \right) \hfill \cr \,4  0 = 4\,\,\,{\rm{if}}\,\,\,m = 0 \hfill \cr \,4  \left( {  1} \right) = 5\,\,\,{\rm{if}}\,\,\,m =  1 \hfill \cr} \right.\) \(m = 3\,\,\,\,\, \Rightarrow \,\,\,\,\,{\rm{Med}}\left( {\left\{ {1,1,2,2,3,3,4,4} \right\} \cup \left\{ 3 \right\}} \right)\,\,\, = \,\,\,3\,\,\,\mathop = \limits^{\left( * \right)} \,\,\,{\rm{range}}\,\,\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\,\,\,\left( {\rm{E}} \right)\) This solution follows the notations and rationale taught in the GMATH method. Regards, Fabio.
_________________
Fabio Skilnik :: GMATH method creator (Math for the GMAT) Our highlevel "quant" preparation starts here: https://gmath.net



Director
Joined: 09 Mar 2018
Posts: 997
Location: India

If the median and the range of the data set 1, 1, 2, 2, 3, 3, 4, 4, m
[#permalink]
Show Tags
16 Jan 2019, 05:38
Lets see, Median = Range For this to be true, whichever term you enter will be responsible in making the median = Range(higest number  lowest number) Since it is a series of 9 numbers Median will be the 5th term And in this series the only number which will make the question true is 3 5th term = 3 Range = 41 = 3 Posted from my mobile device
_________________
If you notice any discrepancy in my reasoning, please let me know. Lets improve together.
Quote which i can relate to. Many of life's failures happen with people who do not realize how close they were to success when they gave up.



GMAT Club Legend
Joined: 18 Aug 2017
Posts: 4987
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)

Re: If the median and the range of the data set 1, 1, 2, 2, 3, 3, 4, 4, m
[#permalink]
Show Tags
16 Jan 2019, 06:14
MathRevolution 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 plugin given options option e 3 gives us both mean and range as 3 IMO E
_________________
If you liked my solution then please give Kudos. Kudos encourage active discussions.



Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 8001
GPA: 3.82

Re: If the median and the range of the data set 1, 1, 2, 2, 3, 3, 4, 4, m
[#permalink]
Show Tags
18 Jan 2019, 05:10
=> If \(3 ≤ m ≤ 4\), then the median is \(3\) and the range of the data is \(3\). Thus, any number between \(3\) and \(4\), inclusive, is possible. If \(2 ≤ m < 3\), then the median is \(m\) and the range of the data is \(3\). Thus, there is no possible value of \(m\) in the interval \(2 ≤ m < 3\). 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 \(4\). Therefore, the answer is E. Answer: E
_________________
MathRevolution: Finish GMAT Quant Section with 10 minutes to spareThe oneandonly World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only $79 for 1 month Online Course""Free Resources30 day online access & Diagnostic Test""Unlimited Access to over 120 free video lessons  try it yourself"




Re: If the median and the range of the data set 1, 1, 2, 2, 3, 3, 4, 4, m
[#permalink]
18 Jan 2019, 05:10






