It is currently 24 Oct 2020, 09:53
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.

The average (arithmetic mean) of 7 different numbers is 5

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
1 KUDOS received
Active Member
Active Member
User avatar
Joined: 07 Jan 2018
Posts: 694
Followers: 11

Kudos [?]: 774 [1] , given: 88

The average (arithmetic mean) of 7 different numbers is 5 [#permalink] New post 13 Jun 2018, 22:24
1
This post received
KUDOS
00:00

Question Stats:

77% (00:11) correct 22% (00:33) wrong based on 27 sessions
The average (arithmetic mean) of 7 different numbers is 5.

Quantity A
Quantity B
Median of the 7 numbers
5
[Reveal] Spoiler: OA
VP
VP
Joined: 20 Apr 2016
Posts: 1302
WE: Engineering (Energy and Utilities)
Followers: 22

Kudos [?]: 1329 [0], given: 251

Re: The average (arithmetic mean) of 7 different numbers is 5 [#permalink] New post 29 Jun 2018, 08:47
amorphous wrote:
The average (arithmetic mean) of 7 different numbers is 5.

Quantity A
Quantity B
Median of the 7 numbers
5


Here before we start we should know : The median is the number that is halfway into the set. To find the median, the data should be arranged in order from least to greatest. If there is an even number of items in the data set, then the median is found by taking the mean (average) of the two middlemost numbers.

Now the 7 nos. can be any number, no more details is given; so median can be any number

which may be 5
less than 5
or greater than 5

Hence option D
_________________

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


Rules for Posting

Got 20 Kudos? You can get Free GRE Prep Club Tests

GRE Prep Club Members of the Month:TOP 10 members of the month with highest kudos receive access to 3 months GRE Prep Club tests

Director
Director
User avatar
Joined: 22 Jun 2019
Posts: 517
Followers: 5

Kudos [?]: 106 [0], given: 161

CAT Tests
Re: The average (arithmetic mean) of 7 different numbers is 5 [#permalink] New post 02 Feb 2020, 07:47
Text Explanation

We know that the average of seven different numbers is 5. The word "different" implies that no number appears twice on the list. For example, having a set in which all the entries equals 5 would be excluded by this restriction.

Certainly, we could have a symmetrical set of consecutive integers, centered on 5. This would be the set {2, 3, 4, 5, 6, 7, 8}. Both the mean and the median of this set are 5. This choice for the set makes the columns equal, suggesting the answer (C) for at least this choice.

If we can select another set that fits the criteria, mean = 5, and makes one column bigger than the other, then we would have chosen two different possibilities that give two different relationships, and BAM! right away we would know that (D) would be the answer. Can we find another set that fits the requirements?

Well, we could subtract one from each of the first six numbers, to get the consecutive integers 1-6. To keep the same average and same sum, we would have to add six to the highest number, 8 + 6 = 14. This gives us another set with an average of 5, the set {1, 2, 3, 4, 5, 6, 14}. This set has a median of 4, which is less than the 5. This choice suggests column (B) as a relationship.

Two different choices, two different relationships between the columns. BAM! This means that the answer has to be (D).
_________________

New to the GRE, and GRE CLUB Forum?
GRE: All About GRE | Search GRE Specific Questions | Download Vault
Posting Rules: QUANTITATIVE | VERBAL

Questions' Banks and Collection:
ETS: ETS Free PowerPrep 1 & 2 All 320 Questions Explanation. | ETS All Official Guides
3rd Party Resource's: All In One Resource's | All Quant Questions Collection | All Verbal Questions Collection | Manhattan 5lb All Questions Collection
Books: All GRE Best Books
Scores: Average GRE Score Required By Universities in the USA
Tests: All Free & Paid Practice Tests | GRE Prep Club Tests
Extra: Permutations, and Combination
Vocab: GRE Vocabulary
Facebook GRE Prep Group: Click here to join FB GRE Prep Group

Re: The average (arithmetic mean) of 7 different numbers is 5   [#permalink] 02 Feb 2020, 07:47
Display posts from previous: Sort by

The average (arithmetic mean) of 7 different numbers is 5

  Question banks Downloads My Bookmarks Reviews Important topics  


cron

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®.