GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 12 Dec 2019, 01:31 ### 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

#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # T is a set of y integers, where 0 < y < 7. If the average of

Author Message
TAGS:

### Hide Tags

Manager  B
Joined: 22 Jan 2018
Posts: 52
T is a set of y integers, where 0 < y < 7. If the average of  [#permalink]

### Show Tags

Bunuel wrote:
as $$y$$ is an integer from 1 to 6 then $$\frac{2}{7}y$$ is neither an $$integer$$ nor $$\frac{integer}{2}$$. So $$\frac{2}{7}y$$ could not be the median.

Can you please explain the above. "y" is just the number of elements in the set..right? So, how can we conclude the above, just based upon the number of elements?
Manager  G
Joined: 11 Feb 2013
Posts: 229
Location: United States (TX)
GMAT 1: 490 Q44 V15 GMAT 2: 690 Q47 V38 GPA: 3.05
WE: Analyst (Commercial Banking)
T is a set of y integers, where 0 < y < 7. If the average of  [#permalink]

### Show Tags

Learnings from this question:
[Assumption: all entities of the dataset are integers]
(1) in case of ONE ENTITY or EVERY ENTITY EQUAL data set, Mean=Median.

(2) Median can an Integer or a fraction in the form of multiple of 0.5.

Median is integer if the dataset has
(a) odd nuodd number of entities
(b) even number of entities with the condition that middle twos are either both odd or both even.

Median is integer if the dataset has
even number of entities with the condition that middle twos are odd and even.

(3) Irrespective of the mean (positive, negative or zero), Median can be anything (positive, negative or zero).
Because mean be affected by extreme values, but Median isn’t affected by extremes. Median is based on POSITION middle value in ascending or descending order).

Posted from my mobile device
ISB School Moderator G
Joined: 08 Dec 2013
Posts: 619
Location: India
Concentration: Nonprofit, Sustainability
Schools: ISB '21
GMAT 1: 630 Q47 V30 WE: Operations (Non-Profit and Government)
Re: T is a set of y integers, where 0 < y < 7. If the average of  [#permalink]

### Show Tags

Zaur wrote:
T is a set of y integers, where 0 < y < 7. If the average of Set T is the positive integer x, which of the following could NOT be the median of Set T?

A. 0
B. x
C. –x
D. (1/3)y
E. (2/7)y

My method was to find a median in the answer options.

A. -1 0 7
B. 1 1 1
C. -3 -2 11
D. 1 1 1
E. now I couldn't find an integer y so that (2/7)y is an integer and avg. is positive integer x, so E. Re: T is a set of y integers, where 0 < y < 7. If the average of   [#permalink] 20 May 2019, 21:19

Go to page   Previous    1   2   [ 23 posts ]

Display posts from previous: Sort by

# T is a set of y integers, where 0 < y < 7. If the average of  