Last visit was: 30 Dec 2024, 08:07 It is currently 30 Dec 2024, 08:07
Decision Tracker
My Rewards
New comers' posts
New posts
Unanswered

Close

GRE Prep 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 GRE 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.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel
PREVIOUS TOPIC
NEXT TOPIC

Set A: {7, 4, 1, 0, 5, 8, 10, 10, 13, 21} In Set A above,

Tags :
Find Similar Topics  About  Add a Tag

Show Tags
Hide Tags

User avatar
sandy
Retired Moderator
Joined: 07 Jun 2014
Posts: 4815
Own Kudos [?]: 11278 [1]
Given Kudos: 0
GRE 1: Q167 V156
WE:Business Development (Energy and Utilities)
Send PM
Set A: {7, 4, 1, 0, 5, 8, 10, 10, 13, 21} In Set A above, [#permalink] New post   Updated on: 06 Dec 2022, 06:06
Expert Reply
1
Bookmarks
00:00

Question Stats:

23% (01:25) correct 76% (02:14) wrong based on 30 sessions

Hide Show timer Statistics

Set A: {−7, −4, −1, 0, 5, 8, 10, 10, 13, 21}

In Set A above, if positive integer x is subtracted from the 3 largest numbers in the list and x is added to the 3 smallest even numbers in the list, which of the following will be true ?

Indicate all that apply

A. The average of the set will increase by x.
B. The average of the set will decrease by x.
C. The average of the set will stay the same.
D. There will be no mode in the new set.
E. The standard deviation of the set will stay the same.
F. The median of the set will stay the same.
G. The median of the set will increase by x.

Drill 3
Question: 7
Page: 529
ShowHide Answer
Official Answer
C

Originally posted by sandy on 08 Dec 2017, 20:47.
Last edited by Carcass on 06 Dec 2022, 06:06, edited 2 times in total.
Fixed timer
User avatar
sandy
Retired Moderator
Joined: 07 Jun 2014
Posts: 4815
Own Kudos [?]: 11278 [0]
Given Kudos: 0
GRE 1: Q167 V156
WE:Business Development (Energy and Utilities)
Send PM
Re: Set A: {7, 4, 1, 0, 5, 8, 10, 10, 13, 21} In Set A above, [#permalink] New post   29 Dec 2017, 15:18
Expert Reply
Explanation

There are variables in the answer choices, so Plug In.

Try x = 3. Now write out your new set of numbers. Since you are subtracting 3 and adding 3 the same number of times, the sum and average stay the same, so eliminate choices (A) and (B). The median decreases by 0.5, so eliminate choices (F) and (G). There are now two modes in the set, so eliminate choice (D).

The distance of the numbers from the mean changes in the new set, so the standard deviation is not the same. Eliminate choice (E). The correct answer is choice C.
avatar
san9090
Intern
Intern
Joined: 10 Aug 2019
Posts: 16
Own Kudos [?]: 6 [0]
Given Kudos: 0
Send PM
Re: Set A: {7, 4, 1, 0, 5, 8, 10, 10, 13, 21} In Set A above, [#permalink] New post   24 Sep 2019, 04:35
1
How does the median decrease by 0.5?
avatar
pranab223
Retired Moderator
Joined: 20 Apr 2016
Posts: 1307
Own Kudos [?]: 2281 [0]
Given Kudos: 251
WE:Engineering (Energy and Utilities)
Send PM

Top Member of the Month
Re: Set A: {7, 4, 1, 0, 5, 8, 10, 10, 13, 21} In Set A above, [#permalink] New post   01 Oct 2019, 05:57
1
san9090 wrote:
How does the median decrease by 0.5?



Here, SET A ={−7, −4, −1, 0, 5, 8, 10, 10, 13, 21} , and median = \(\frac{{5+8}}{2} = 6.5\)

As we are assuming \(x = 3\)

the new SET A =\((-7, -1 ,-1, 3, 5, 11, 5, 5, 8, 16) = ( -7, -1, -1, 3, 5, 5, 5, 8, 11, 16)\) ( Subtracting X from 3 largest numbers in the list and x is added to the 3 smallest even numbers )

median = \(\frac{{5+5}}{2} = 5\)

Therefore the median decreased by \(0.5\)

You can pick any value for X and the median will decrease
User avatar
bumpbot
GRE Prep Club Legend
GRE Prep Club Legend
Joined: 07 Jan 2021
Posts: 5094
Own Kudos [?]: 76 [0]
Given Kudos: 0
Send PM
Re: Set A: {7, 4, 1, 0, 5, 8, 10, 10, 13, 21} In Set A above, [#permalink] New post   21 Sep 2023, 19:54
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Prep Club for GRE Bot
gmatclubot
Re: Set A: {7, 4, 1, 0, 5, 8, 10, 10, 13, 21} In Set A above, [#permalink]
21 Sep 2023, 19:54
Moderators:
adewale223
GRE Instructor
88 posts
bronaugust
GRE Forum Moderator
37 posts
BrushMyQuant
Moderator
1116 posts
VibhuAnurag
GRE Instructor
234 posts

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

Main navigation

Partners

GRE Resources

www.ets.org/gre | About | Terms and Conditions and Privacy Policy | Prep Club for GRE Rules | Contact