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A series of 5 numbers is 3, 4, 5, 5, x, is the range greater than 2?
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06 Jun 2011, 10:53
Question Stats:
41% (02:36) correct 59% (02:20) wrong based on 122 sessions
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A series of 5 numbers is 3, 4, 5, 5, x, is the range greater than 2? (1) The median of the numbers is greater than the mean (2) The median is 4
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Re: A series of 5 numbers is 3, 4, 5, 5, x, is the range greater than 2?
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06 Jun 2011, 11:32
From B it is easy to determine that its not sufficient alone. the value of x can be for example 2, 3 or 4.
For A, i only have one method of solution, that is 2 plug in atleast two different values of x and try to prove the statement otherwise. And the statement doesn't suffice.



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Re: A series of 5 numbers is 3, 4, 5, 5, x, is the range greater than 2?
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06 Jun 2011, 11:42
Isnt there a more "mathematical" way to increase certainty?
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Re: A series of 5 numbers is 3, 4, 5, 5, x, is the range greater than 2?
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07 Mar 2017, 05:02
(1) Let's pick number 4 for "x" In this case mean=4,4 R=53=2 (equal to 2) Now pick number 6 for "x" In this case ,mean=4,6 R=63=3 (more than 2) Insufficient. (2) Median=4 thus "x" lies in the interval x<=4 Pick number 4, then R=53=2 (equal to 2) Pick number 0, then R=50=5 (more than 2) Insufficient. (1)+(2) Median=4 and median should be more than mean These constrains gives us that x should be less then 3 to conform to both the conditions, in all those cases R will be more than 2. x=4, mean =4,2 doesn't conform to (1) x=3, mean=4 doesn't conform to (1) x=2, mean=3,8; R=52=3 more than 2 OK x=1, mean= 3,6; R=51=4 more than 2 OK Hence both (1) and (2) are sufficient to state that R in subject set would be more than 2. Answer C.



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Re: A series of 5 numbers is 3, 4, 5, 5, x, is the range greater than 2?
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19 Jan 2018, 09:17
VeritasPrepKarishma, BunuelWould appreciate if you can share your approach to this problem.



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Re: A series of 5 numbers is 3, 4, 5, 5, x, is the range greater than 2?
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19 Jan 2018, 21:23
sushforgmat wrote: VeritasPrepKarishma, BunuelWould appreciate if you can share your approach to this problem. In increasing order: 3, 4, 5, 5 x could be placed anywhere  "before 3", "between 3 and 4", "between 4 and 5", "at 5" or "after 5" The range will be greater than 2 in case x is placed "before 3" or "after 5". I  the median of the numbers is greater than the mean Median can only be 4 or 5, no matter where x is placed. If median is 4, then mean is lower than 4 which means x is lower than 3 (to balance the deviation on the right). If median is 5, then mean is lower than 5 and x must be 5 or greater. Not sufficient II  the median is 4 If median is 4, it means x is either "before 3" or "between 3 and 4". Not sufficient. Using both, we know that the median is 4 and mean is lower than 4 which implies that x is lower than 3. So range will be more than 2. Sufficient. Answer (C) If you are unsure of the deviations concept, check: https://www.veritasprep.com/blog/2012/0 ... eviations/
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Re: A series of 5 numbers is 3, 4, 5, 5, x, is the range greater than 2? &nbs
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19 Jan 2018, 21:23






