It is currently 15 Dec 2017, 21:40

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.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Which of the following sets has the smallest standard deviation?

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

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42618

Kudos [?]: 135771 [0], given: 12708

Which of the following sets has the smallest standard deviation? [#permalink]

Show Tags

New post 06 Dec 2016, 10:16
Expert's post
2
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

93% (00:11) correct 7% (00:58) wrong based on 60 sessions

HideShow timer Statistics

Which of the following sets has the smallest standard deviation?

A. {2, 2, 2, 2, 2, 2}
B. {3, 4, 4, 4, 4, 5}
C. {1, 2, 3, 4, 5, 6}
D. {1, 1, 5, 8, 9, 11}
E. {1, 4, 4, 7, 9, 12}
[Reveal] Spoiler: OA

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 135771 [0], given: 12708

Manager
Manager
avatar
B
Joined: 02 Nov 2013
Posts: 95

Kudos [?]: 11 [0], given: 10

Location: India
Re: Which of the following sets has the smallest standard deviation? [#permalink]

Show Tags

New post 06 Dec 2016, 23:06
The definition of Standard deviation itself tell you that "a quantity expressing by how much the members of a group differ from the mean value for the group".
By looking at answer A is having minimum values differs from mean i.e. 0.

Clearly, answer is A.

Kudos [?]: 11 [0], given: 10

Board of Directors
User avatar
G
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 3115

Kudos [?]: 1150 [0], given: 327

Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User Premium Member
Re: Which of the following sets has the smallest standard deviation? [#permalink]

Show Tags

New post 07 Dec 2016, 08:42
prashantrchawla wrote:
The definition of Standard deviation itself tell you that "a quantity expressing by how much the members of a group differ from the mean value for the group".
By looking at answer A is having minimum values differs from mean i.e. 0.

Clearly, answer is A.


Standard deviation = Mean - Element

Among the given options Mean of set A is 2 & SD will be 0

Hence, the correct answer will be (A)..

_________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )

Kudos [?]: 1150 [0], given: 327

Expert Post
1 KUDOS received
EMPOWERgmat Instructor
User avatar
P
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 10412

Kudos [?]: 3694 [1], given: 173

Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: 340 Q170 V170
Re: Which of the following sets has the smallest standard deviation? [#permalink]

Show Tags

New post 25 Nov 2017, 14:29
1
This post received
KUDOS
Expert's post
Hi All,

Standard Deviation is a relatively rare concept on the GMAT (you'll likely see it just once on Test Day). In addition, the GMAT will NEVER ask you to actually calculate S.D., so you really just need to understand the 'concept' behind that math. In simple terms, S.D. is about how 'spread out' a group of numbers is. The more 'spread out' the numbers, the higher the S.D.; the more 'close together' the numbers are, the lower the S.D. The smallest possible S.D. is 0 - and that's when all of the numbers in a group are the SAME.

Based on that last concept, the smallest S.D. among the 5 answer choices is...

Final Answer:
[Reveal] Spoiler:
A


GMAT assassins aren't born, they're made,
Rich
_________________

760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save $75 + GMAT Club Tests Free
  Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/

***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***********************

Kudos [?]: 3694 [1], given: 173

Expert Post
1 KUDOS received
SVP
SVP
User avatar
G
Joined: 08 Jul 2010
Posts: 1857

Kudos [?]: 2408 [1], given: 51

Location: India
GMAT: INSIGHT
WE: Education (Education)
Reviews Badge
Re: Which of the following sets has the smallest standard deviation? [#permalink]

Show Tags

New post 26 Nov 2017, 01:32
1
This post received
KUDOS
Expert's post
Bunuel wrote:
Which of the following sets has the smallest standard deviation?

A. {2, 2, 2, 2, 2, 2}
B. {3, 4, 4, 4, 4, 5}
C. {1, 2, 3, 4, 5, 6}
D. {1, 1, 5, 8, 9, 11}
E. {1, 4, 4, 7, 9, 12}



Standard deviation is the measure of the separation among the terms.

No deviation among the term = ZERO Standard deviation


Option A will have ZERO standard deviation

The increasing order of the standard deviation of the sets given in 5 options will be as follows

A < B < C < D and E are close but as per my observation standard deviation of D should be greater than the SD of E because two repeated elements in E are closer to mean and two repeated elements in D are closer to extreme

_________________

Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION

Kudos [?]: 2408 [1], given: 51

Re: Which of the following sets has the smallest standard deviation?   [#permalink] 26 Nov 2017, 01:32
Display posts from previous: Sort by

Which of the following sets has the smallest standard deviation?

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


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

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

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.