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

 It is currently 17 Oct 2019, 21:12 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.  What is the median value of the data displayed in the following frequ

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

Hide Tags

Math Revolution GMAT Instructor V
Joined: 16 Aug 2015
Posts: 8014
GMAT 1: 760 Q51 V42 GPA: 3.82
What is the median value of the data displayed in the following frequ  [#permalink]

Show Tags 00:00

Difficulty:   35% (medium)

Question Stats: 68% (01:11) correct 32% (01:06) wrong based on 71 sessions

HideShow timer Statistics

[GMAT math practice question]

What is the median value of the data displayed in the following frequency table?

Attachment: a.png [ 2.35 KiB | Viewed 695 times ]

$$1) x=2$$
$$2) y=5$$

_________________
Retired Moderator D
Joined: 25 Feb 2013
Posts: 1178
Location: India
GPA: 3.82
What is the median value of the data displayed in the following frequ  [#permalink]

Show Tags

MathRevolution wrote:
[GMAT math practice question]

What is the median value of the data displayed in the following frequency table?

Attachment:
a.png

$$1) x=2$$
$$2) y=5$$

As the data is arranged in ascending order, so $$y>5$$. This implies that minimum numbers in the set will be $$= 1+2+3+4+5=15$$.

Hence median will be a number that will in the $$8th$$ or higher position depending upon the value of $$y$$. Hence $$x$$ cannot be median because last $$x$$ will be at $$6th$$ position if $$0<x<3$$.

So essentially we need to know the value of $$y$$

Statement 1: nothing mentioned about $$y$$. Insufficient

Statement 2: directly provides the value of $$y$$. Sufficient

Option B
Manager  G
Joined: 04 Apr 2015
Posts: 104
Re: What is the median value of the data displayed in the following frequ  [#permalink]

Show Tags

niks18 wrote:
MathRevolution wrote:
[GMAT math practice question]

What is the median value of the data displayed in the following frequency table?

Attachment:
a.png

$$1) x=2$$
$$2) y=5$$

As the data is arranged in ascending order, so $$y>5$$. This implies that minimum numbers in the set will be $$= 1+2+3+4+5=15$$.

Hence median will be a number that will in the $$8th$$ or higher position depending upon the value of $$y$$. Hence $$x$$ cannot be median because last $$x$$ will be at $$6th$$ position.

So essentially we need to know the value of $$y$$

Statement 1: nothing mentioned about $$y$$. Insufficient

Statement 2: directly provides the value of $$y$$. Sufficient

Option B

we dont know the value of x. we cant assume that x will take value b/w 1 and 3
Retired Moderator D
Joined: 25 Feb 2013
Posts: 1178
Location: India
GPA: 3.82
What is the median value of the data displayed in the following frequ  [#permalink]

Show Tags

varundixitmro2512 wrote:
niks18 wrote:
MathRevolution wrote:
[GMAT math practice question]

What is the median value of the data displayed in the following frequency table?

Attachment:
a.png

$$1) x=2$$
$$2) y=5$$

As the data is arranged in ascending order, so $$y>5$$. This implies that minimum numbers in the set will be $$= 1+2+3+4+5=15$$.

Hence median will be a number that will in the $$8th$$ or higher position depending upon the value of $$y$$. Hence $$x$$ cannot be median because last $$x$$ will be at $$6th$$ position.

So essentially we need to know the value of $$y$$

Statement 1: nothing mentioned about $$y$$. Insufficient

Statement 2: directly provides the value of $$y$$. Sufficient

Option B

we dont know the value of x. we cant assume that x will take value b/w 1 and 3

hi varundixitmro2512

I am not saying that the value of x is between 1 & 3. The question states that the frequency of x is 3, hence it will not impact the median because frequency of y is more than 5

For eg. let x=100 & y=5,So if you arrange the numbers in ascending order, then it will be as follows -

0,1,1,3,3,3,4,4,4,4,4,100,100, you can calculate the median of this set.

you may take any value of x, as long as y>5, it will not impact the median.

For clarity I have edited the post
Math Revolution GMAT Instructor V
Joined: 16 Aug 2015
Posts: 8014
GMAT 1: 760 Q51 V42 GPA: 3.82
Re: What is the median value of the data displayed in the following frequ  [#permalink]

Show Tags

=>

Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution.

The first step of the VA (Variable Approach) method is to modify the original condition and the question. We then recheck the question.

If $$y = 1$$, the median is $$x$$.
If $$y = 2$$, the median is $$\frac{( x + 3 )}{2}$$
If $$3 ≤ y ≤ 9$$, the median is $$3$$.
If $$y = 10$$, the median is $$\frac{( 3 + 4 )}{2} = 3.5$$
If $$y ≥ 10$$, the median is $$4$$.

Thus, the condition 2) is sufficient.

Therefore, the answer is B.

_________________
Intern  B
Joined: 24 Mar 2016
Posts: 4
GMAT 1: 710 Q50 V37 Re: What is the median value of the data displayed in the following frequ  [#permalink]

Show Tags

Statement 1 is anyways insufficient because value of y will make the median very from 2 to 4.

As per Statement 2, when y=5, 2 scenarios arise:

Situation 1: x=2, median =3
Situation 2: x=3.5, median =3.5

Thus, this statement also becomes insufficient. In my opinion, the answer should be C)

Am I missing something here?
Retired Moderator D
Joined: 25 Feb 2013
Posts: 1178
Location: India
GPA: 3.82
Re: What is the median value of the data displayed in the following frequ  [#permalink]

Show Tags

mb2202 wrote:
Statement 1 is anyways insufficient because value of y will make the median very from 2 to 4.

As per Statement 2, when y=5, 2 scenarios arise:

Situation 1: x=2, median =3
Situation 2: x=3.5, median =3.5

Thus, this statement also becomes insufficient. In my opinion, the answer should be C)

Am I missing something here?

Hi mb2202

When frequency table is presented then generally data are arranged in ascending order. However it would have been great if the question stem had mentioned that the arrangement is in ascending order. The solution is based on the assumption that the data is in ascending order hence x<3, so x=3.5 is not possible here.
Intern  B
Joined: 29 Mar 2015
Posts: 20
GMAT 1: 590 Q44 V23 What is the median value of the data displayed in the following frequ  [#permalink]

Show Tags

Quote:

I am not saying that the value of x is between 1 & 3. The question states that the frequency of x is 3, hence it will not impact the median because frequency of y is more than 5

For eg. let x=100 & y=5,So if you arrange the numbers in ascending order, then it will be as follows -

0,1,1,3,3,3,4,4,4,4,4,100,100, you can calculate the median of this set.

you may take any value of x, as long as y>5, it will not impact the median.

For clarity I have edited the post

Hi niks18,
Your answer is BASING on the assumption that x is not between 1&3. It actually MATTERS if x is between 1&3 and x is NOT between 1&3. If x =2 the Median is 3 and if x = 100 the median is 4. (x is repeated THREE TIMES NOT TWO TIMES) What is the median value of the data displayed in the following frequ   [#permalink] 09 Apr 2018, 10:12
Display posts from previous: Sort by

What is the median value of the data displayed in the following frequ

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne  