Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 22 Jul 2014, 15:43

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# A set of 15 different integers has median 25 and range 25.

Author Message
TAGS:
Manager
Joined: 15 Jul 2008
Posts: 210
Followers: 3

Kudos [?]: 21 [0], given: 0

A set of 15 different integers has median 25 and range 25. [#permalink]  12 Aug 2008, 03:50
2
This post was
BOOKMARKED
00:00

Difficulty:

(N/A)

Question Stats:

100% (02:06) correct 0% (00:00) wrong based on 2 sessions
A set of 15 different integers has median 25 and range 25. What could be the greatest possible integer in this set ?

OA is
[Reveal] Spoiler:
43
.

How
[Reveal] Spoiler:
43
? I am getting
[Reveal] Spoiler:
50
.
Director
Joined: 14 Aug 2007
Posts: 735
Followers: 7

Kudos [?]: 96 [2] , given: 0

Re: PS - median and range [#permalink]  12 Aug 2008, 04:16
2
KUDOS
bhushangiri wrote:
A set of 15 different integers has median 25 and range 25. What could be the greatest possible integer in this set ?

OA is 43.

How 43 ? I am getting 50.

50 can not be the highest number.

for the range to be 25, (50 - least number) = 25, i.e least number is 25
But it's given that 25 is median and since each number is different, there must be 7 smaller numbers than 25
Manager
Joined: 15 Jul 2008
Posts: 210
Followers: 3

Kudos [?]: 21 [0], given: 0

Re: PS - median and range [#permalink]  12 Aug 2008, 04:30
alpha_plus_gamma wrote:
bhushangiri wrote:
A set of 15 different integers has median 25 and range 25. What could be the greatest possible integer in this set ?

OA is 43.

How 43 ? I am getting 50.

50 can not be the highest number.

for the range to be 25, (50 - least number) = 25, i.e least number is 25
But it's given that 25 is median and since each number is different, there must be 7 smaller numbers than 25

Thanks. Realized that each number is different only when i read your post. O/w was taking all the lowest as 25.
Intern
Joined: 11 Aug 2013
Posts: 5
Followers: 0

Kudos [?]: 0 [0], given: 0

Re: A set of 15 different integers has median 25 and range 25. [#permalink]  02 Sep 2013, 13:05
bhushangiri wrote:
A set of 15 different integers has median 25 and range 25. What could be the greatest possible integer in this set ?

OA is 43.

How 43 ? I am getting 50.

Try to right down 25 in the middle as a median and 7 numbers to the left and 7 nubers to the right.
You will see clearly that the minimum possible least number is 18 to the left of 25.
Hence 18+25 -->43

18 19 20 21 22 23 24 25 ....... --> the least possible
Math Expert
Joined: 02 Sep 2009
Posts: 18683
Followers: 3232

Kudos [?]: 22199 [2] , given: 2601

Re: A set of 15 different integers has median 25 and range 25. [#permalink]  02 Sep 2013, 13:26
2
KUDOS
Expert's post
bhushangiri wrote:
A set of 15 different integers has median 25 and range 25. What could be the greatest possible integer in this set ?

OA is 43.

How 43 ? I am getting 50.

Similar question to practice:
Quote:
A set of 25 different integers has a median of 50 and a range of 50. What is the greatest possible integer that could be in this set?

(A) 62
(B) 68
(C) 75
(D) 88
(E) 100

Discussed here: a-set-of-25-different-integers-has-a-median-of-50-and-a-129345.html

Variation of this question: a-set-of-25-integers-has-a-median-of-50-and-a-range-of-128463.html

_________________
SVP
Joined: 06 Sep 2013
Posts: 1629
Location: United States
Concentration: Finance
GMAT 1: 710 Q48 V39
WE: Corporate Finance (Investment Banking)
Followers: 10

Kudos [?]: 132 [0], given: 254

Re: A set of 15 different integers has median 25 and range 25. [#permalink]  05 Oct 2013, 14:27
bhushangiri wrote:
A set of 15 different integers has median 25 and range 25. What could be the greatest possible integer in this set ?

OA is 43.

How 43 ? I am getting 50.

Might wanna use a spoiler in there
Thanks
Re: A set of 15 different integers has median 25 and range 25.   [#permalink] 05 Oct 2013, 14:27
Similar topics Replies Last post
Similar
Topics:
18 A set of 25 different integers has a median of 50 and a 18 19 Mar 2012, 14:46
7 A set of 25 integers has a median of 50 and a range of 50 3 02 Mar 2012, 06:20
A set of 15 diff integers has a median of 25 and a range of 5 09 Aug 2008, 18:01
A set of 15 different integers has a median of 25 and a 15 24 Mar 2008, 06:26
If set Z has a median of 19, what is the range of set Z? 6 21 Jan 2006, 00:49
Display posts from previous: Sort by