It is currently 18 Nov 2018, 22:49
My Tests

Close

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
Your Progress

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.

heights of the female students in a certain class is 13.2 in

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
2 KUDOS received
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4711
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 91

Kudos [?]: 1615 [2] , given: 376

CAT Tests
heights of the female students in a certain class is 13.2 in [#permalink] New post 04 Jan 2016, 18:50
2
This post received
KUDOS
Expert's post
00:00

Question Stats:

64% (01:14) correct 36% (01:51) wrong based on 25 sessions
The range of the heights of the female students in a certain class is 13.2 inches, and the range of the heights of the male students in the class is 15.4 inches.

Which of the following statements individually provide(s) sufficient additional information to determine the range of the heights of all the
students in the class?

Indicate all such statements.

A. The tallest male student in the class is 5.8 inches taller than the tallest female student in the class.
B. The median height of the male students in the class is 1.1 inches greater than the median height of the female students in the class.
C. The average (arithmetic mean) height of the male students in the class is 4.6 inches greater than the average height of the female students in the class.


Practice Questions
Question: 15
Page: 160
Difficulty: hard
[Reveal] Spoiler: OA

_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

2 KUDOS received
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4711
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 91

Kudos [?]: 1615 [2] , given: 376

CAT Tests
Re: heights of the female students in a certain class is 13.2 in [#permalink] New post 04 Jan 2016, 19:16
2
This post received
KUDOS
Expert's post
Here we have range of heights of males and females in a class.

13.2
A. Shortest Girl |-------------------------| Tallest Girl
|
15.4 |
Shortest Guy |-----------------------------| Tallest Guy
5.8
Since the tallest male student is 5.8 inches taller than taller Female student. Hence we have the range 13.2 +5.8

B. 13.2
Shortest Girl |-------------------------| Tallest Girl

15.4
Shortest Guy |-----------------------------| Tallest Guy

Now we donot know where the median in the two ranges lie. It can be that the median height is close to shortest or tallest depending upon the sample. Hence it is not possible to determine the range.

C. 13.2
Shortest Girl |-------------------------| Tallest Girl

15.4
Shortest Guy |-----------------------------| Tallest Guy

Similar to median we do not know where the average lies either. It can be close to the tallest or the shortest side and we cannot determine the range.
Hence the right answer is A alone.
_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

2 KUDOS received
GRE Instructor
User avatar
Joined: 10 Apr 2015
Posts: 1177
Followers: 44

Kudos [?]: 1054 [2] , given: 6

CAT Tests
Re: heights of the female students in a certain class is 13.2 in [#permalink] New post 31 May 2018, 17:50
2
This post received
KUDOS
Expert's post
sandy wrote:
The range of the heights of the female students in a certain class is 13.2 inches, and the range of the heights of the male students in the class is 15.4 inches.

Which of the following statements individually provide(s) sufficient additional information to determine the range of the heights of all the
students in the class?

Indicate all such statements.

A. The tallest male student in the class is 5.8 inches taller than the tallest female student in the class.
B. The median height of the male students in the class is 1.1 inches greater than the median height of the female students in the class.
C. The average (arithmetic mean) height of the male students in the class is 4.6 inches greater than the average height of the female students in the class.


A. The tallest male student in the class is 5.8 inches taller than the tallest female student in the class.
Let M = the height of the TALLEST male
This means M - 5.8 = the height of the TALLEST female

The range of the heights of the females is 13.2 inches
So, M - 5.8 - 13.2 = the height of the SHORTEST female
Simplify: M - 19 = the height of the SHORTEST female

The range of the heights of the males is 15.4 inches
So, M - 15.4 = the height of the SHORTEST male


Since M - 19 = the height of the SHORTEST female, and M - 15.4 = the height of the SHORTEST male, we can conclude that M - 19 = the height of the SHORTEST STUDENT
We also know that M = the height of the TALLEST STUDENT

So, the range = (height of the TALLEST STUDENT) - (height of the SHORTEST STUDENT)
= M - (M - 19)
= 19
So, the range of all student heights is 19 inches
So, statement A provides SUFFICIENT information to determine the range of all heights.



B. The median height of the male students in the class is 1.1 inches greater than the median height of the female students in the class.
This is NOT sufficient information.
Consider these two possible cases (since we're aren't told the number of males and females, let's say there are 3 male students and 3 female students):

Case a: The heights of the males are {50, 51, 65.4} (notice that the range of heights is 15.4 inches). Here, the MEDIAN height is 51 inches)
The heights of the females is {40, 52.1, 53.2} (notice that the range of heights is 13.2 inches). Here, the MEDIAN height is 52.1 inches)
In this case, the heights of ALL students are: {40, 50, 51, 52.1, 53.2, 65.4}
So, the range of all heights = 65.4 - 40 = 25.4 inches

Case b: The heights of the males are {50, 51, 65.4} (notice that the range of heights is 15.4 inches). Here, the MEDIAN height is 51 inches)
The heights of the females are {50, 52.1, 63.2} (notice that the range of heights is 13.2 inches). Here, the MEDIAN height is 52.1 inches)
In this case, the heights of ALL students are: {50, 50, 51, 52.1, 53.2, 65.4}
So, the range of all heights = 65.4 - 50 = 15.4 inches

Since the range can be 25.4 inches OR 15.4 inches, statement B does NOT provides suffient information to determine the range of all heights



C. The average (arithmetic mean) height of the male students in the class is 4.6 inches greater than the average height of the female students in the class.
This is NOT sufficient information.
Consider these two possible cases (since we're aren't told the number of males and females, let's say there are 3 male students and 3 female students):

Case a: The heights of the males are {50, 51, 65.4} (notice that the range of heights is 15.4 inches). Here, the MEAN height is 55.5 inches)
The heights of the females is {45, 49.5, 58.2} (notice that the range of heights is 13.2 inches). Here, the MEAN height is 50.9 inches)
In this case, the heights of ALL students are: {45, 49.5, 50, 51, 58.2, 65.4}
So, the range of all heights = 65.4 - 45 = 20.4 inches

Case b: The heights of the males are {50, 51, 65.4} (notice that the range of heights is 15.4 inches). Here, the MEAN height is 55.5 inches)
The heights of the females is {44, 51.5, 57.2} (notice that the range of heights is 13.2 inches). Here, the MEAN height is 50.9 inches)
In this case, the heights of ALL students are: {44, 51.5, 50, 51, 57.2, 65.4}
So, the range of all heights = 65.4 - 44 = 21.4 inches

Since the range can be 20.4 inches OR 21.4 inches, statement C does NOT provides suffient information to determine the range of all heights


KEY CONCEPT: Knowing the range of two different populations AND knowing the relative sizes of those populations' median or mean is not enough to determine the range of the COMBINED populations.


Cheers,
Brent
_________________

Brent Hanneson – Creator of greenlighttestprep.com
Image
Sign up for our free GRE Question of the Day emails

Intern
Intern
Joined: 10 Jun 2018
Posts: 32
Followers: 0

Kudos [?]: 14 [0], given: 4

Re: heights of the female students in a certain class is 13.2 in [#permalink] New post 03 Sep 2018, 17:06
GreenlightTestPrep wrote:
sandy wrote:
The range of the heights of the female students in a certain class is 13.2 inches, and the range of the heights of the male students in the class is 15.4 inches.

Which of the following statements individually provide(s) sufficient additional information to determine the range of the heights of all the
students in the class?

Indicate all such statements.

A. The tallest male student in the class is 5.8 inches taller than the tallest female student in the class.
B. The median height of the male students in the class is 1.1 inches greater than the median height of the female students in the class.
C. The average (arithmetic mean) height of the male students in the class is 4.6 inches greater than the average height of the female students in the class.


A. The tallest male student in the class is 5.8 inches taller than the tallest female student in the class.
Let M = the height of the TALLEST male
This means M - 5.8 = the height of the TALLEST female

The range of the heights of the females is 13.2 inches
So, M - 5.8 - 13.2 = the height of the SHORTEST female
Simplify: M - 19 = the height of the SHORTEST female

The range of the heights of the males is 15.4 inches
So, M - 15.4 = the height of the SHORTEST male


Since M - 19 = the height of the SHORTEST female, and M - 15.4 = the height of the SHORTEST male, we can conclude that M - 19 = the height of the SHORTEST STUDENT
We also know that M = the height of the TALLEST STUDENT

So, the range = (height of the TALLEST STUDENT) - (height of the SHORTEST STUDENT)
= M - (M - 19)
= 19
So, the range of all student heights is 19 inches
So, statement A provides SUFFICIENT information to determine the range of all heights.



B. The median height of the male students in the class is 1.1 inches greater than the median height of the female students in the class.
This is NOT sufficient information.
Consider these two possible cases (since we're aren't told the number of males and females, let's say there are 3 male students and 3 female students):

Case a: The heights of the males are {50, 51, 65.4} (notice that the range of heights is 15.4 inches). Here, the MEDIAN height is 51 inches)
The heights of the females is {40, 52.1, 53.2} (notice that the range of heights is 13.2 inches). Here, the MEDIAN height is 52.1 inches)
In this case, the heights of ALL students are: {40, 50, 51, 52.1, 53.2, 65.4}
So, the range of all heights = 65.4 - 40 = 25.4 inches

Case b: The heights of the males are {50, 51, 65.4} (notice that the range of heights is 15.4 inches). Here, the MEDIAN height is 51 inches)
The heights of the females are {50, 52.1, 63.2} (notice that the range of heights is 13.2 inches). Here, the MEDIAN height is 52.1 inches)
In this case, the heights of ALL students are: {50, 50, 51, 52.1, 53.2, 65.4}
So, the range of all heights = 65.4 - 50 = 15.4 inches

Since the range can be 25.4 inches OR 15.4 inches, statement B does NOT provides suffient information to determine the range of all heights



C. The average (arithmetic mean) height of the male students in the class is 4.6 inches greater than the average height of the female students in the class.
This is NOT sufficient information.
Consider these two possible cases (since we're aren't told the number of males and females, let's say there are 3 male students and 3 female students):

Case a: The heights of the males are {50, 51, 65.4} (notice that the range of heights is 15.4 inches). Here, the MEAN height is 55.5 inches)
The heights of the females is {45, 49.5, 58.2} (notice that the range of heights is 13.2 inches). Here, the MEAN height is 50.9 inches)
In this case, the heights of ALL students are: {45, 49.5, 50, 51, 58.2, 65.4}
So, the range of all heights = 65.4 - 45 = 20.4 inches

Case b: The heights of the males are {50, 51, 65.4} (notice that the range of heights is 15.4 inches). Here, the MEAN height is 55.5 inches)
The heights of the females is {44, 51.5, 57.2} (notice that the range of heights is 13.2 inches). Here, the MEAN height is 50.9 inches)
In this case, the heights of ALL students are: {44, 51.5, 50, 51, 57.2, 65.4}
So, the range of all heights = 65.4 - 44 = 21.4 inches

Since the range can be 20.4 inches OR 21.4 inches, statement C does NOT provides suffient information to determine the range of all heights


KEY CONCEPT: Knowing the range of two different populations AND knowing the relative sizes of those populations' median or mean is not enough to determine the range of the COMBINED populations.


Cheers,
Brent



Key takeaway from the answer -
Knowing the range of two different populations AND knowing the relative sizes of those populations' median or mean is not enough to determine the range of the COMBINED populations.
Intern
Intern
Joined: 27 Aug 2018
Posts: 36
Followers: 0

Kudos [?]: 16 [0], given: 7

Re: heights of the female students in a certain class is 13.2 in [#permalink] New post 04 Sep 2018, 08:15
Only A is sufficient.
Say, we have 6 people - 3 male and 3 female.
[a, b, c], [d, e, f]. By knowing only averages and medians, we can't find combined range
Moderator
Moderator
User avatar
Joined: 18 Apr 2015
Posts: 4914
Followers: 74

Kudos [?]: 978 [0], given: 4499

CAT Tests
Re: heights of the female students in a certain class is 13.2 in [#permalink] New post 17 Nov 2018, 10:54
Expert's post
The two explanations above provided by sandy and Brent, respectively, are really rock solid.

Thank you.

Regards
_________________

Get the 2 FREE GREPrepclub Tests

Re: heights of the female students in a certain class is 13.2 in   [#permalink] 17 Nov 2018, 10:54
Display posts from previous: Sort by

heights of the female students in a certain class is 13.2 in

  Question banks Downloads My Bookmarks Reviews Important topics  


GRE Prep Club Forum Home| About| Terms and Conditions and Privacy Policy| GRE Prep Club Rules| Contact

Powered by phpBB © phpBB Group

Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.