The standard deviation of a normal distribution of data is 2 : GMAT Problem Solving (PS)
Check GMAT Club App Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

It is currently 08 Dec 2016, 06:19
GMAT Club 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.

Close

Request Expert Reply

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

The standard deviation of a normal distribution of data is 2

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

Hide Tags

1 KUDOS received
Manager
Manager
User avatar
Joined: 20 Nov 2009
Posts: 167
Followers: 8

Kudos [?]: 196 [1] , given: 64

The standard deviation of a normal distribution of data is 2 [#permalink]

Show Tags

New post 16 Aug 2010, 10:15
1
This post received
KUDOS
14
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

68% (01:41) correct 32% (00:48) wrong based on 485 sessions

HideShow timer Statistics

The standard deviation of a normal distribution of data is 2, and 3 standard deviations below the mean is greater than 43. What is a possible value for the mean of the distribution?

A. 46
B. 47
C. 48
D. 49
E. 50
[Reveal] Spoiler: OA

_________________

But there’s something in me that just keeps going on. I think it has something to do with tomorrow, that there is always one, and that everything can change when it comes.
http://aimingformba.blogspot.com

Expert Post
8 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 35912
Followers: 6852

Kudos [?]: 90046 [8] , given: 10402

Re: Statistics question [#permalink]

Show Tags

New post 16 Aug 2010, 10:21
8
This post received
KUDOS
Expert's post
5
This post was
BOOKMARKED
aiming4mba wrote:
The standard deviation of a normal distribution of data is 2, and 3 standard deviations below the mean is greater than 43. What is a possible value for the mean of the distribution?

a.46
b.47
c.48
d.49
e.50


The standard deviation ({SD}) = 2;

3 standard deviations below the mean is greater than 43:

{Mean} - 3*{SD} > 43;
{Mean} - 6 > 43;
{Mean} > 49.

Answer: E.
_________________

New to the Math Forum?
Please read this: 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

Expert Post
2 KUDOS received
e-GMAT Representative
User avatar
Joined: 04 Jan 2015
Posts: 420
Followers: 126

Kudos [?]: 1021 [2] , given: 84

Re: The standard deviation of a normal distribution of data is 2 [#permalink]

Show Tags

New post 29 May 2015, 01:10
2
This post received
KUDOS
Expert's post
Hi All,

Presenting the visual representation of the normal distribution curve:

A normal distribution curve is also known as the bell curve.

Image


Such questions on standard deviation are centered around the following 4 variables:

I. Mean of the distribution
II. Standard Deviation of the distribution
III. A data point of the distribution
IV. Distance of data point from the mean

These variables are related as

Data Point = Mean +/- Distance from the mean where the distance from mean is expressed in terms of standard deviation

Out of these 4 variables, the question is likely to give you 3 and ask you to find the fourth variable.

Let's see what have we been given in the question statement

I. Mean- Need to find (let's assume it to be \(m\))
II. Standard deviation of the distribution - \(2\)
III. A data point of the distribution- \(43\)
IV. Distance of data point from the mean - \(3\) standard deviations below mean

We can write

\(43 < m - 3 * 2\) ( we put in a '-' sign as the data point is below mean)

\(m > 49\). Out of the given options only Option E has a value greater than \(49\).


Hope this helps :)

Regards
Harsh
_________________

Image


| '4 out of Top 5' Instructors on gmatclub | 70 point improvement guarantee | www.e-gmat.com

Expert Post
1 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 35912
Followers: 6852

Kudos [?]: 90046 [1] , given: 10402

Re: The standard deviation of a normal distribution of data is 2 [#permalink]

Show Tags

New post 27 Sep 2013, 03:25
1
This post received
KUDOS
Expert's post
1
This post was
BOOKMARKED
Similar questions to practice:
arithmetic-mean-and-standard-deviation-of-a-certain-normal-104117.html
70-75-80-85-90-105-105-130-130-130-the-list-shown-consist-of-100361.html
for-a-certain-exam-a-score-of-58-was-2-standard-deviations-b-128661.html
a-certain-characteristic-in-a-large-population-has-a-143982.html
a-vending-machine-is-designed-to-dispense-8-ounces-of-coffee-93351.html
the-residents-of-town-x-participated-in-a-survey-83362.html
the-standard-deviation-of-a-normal-distribution-of-data-is-99221.html
the-mean-and-the-standard-deviation-of-the-8-numbers-shown-98248.html
the-lifetime-of-all-the-batteries-produced-by-a-certain-comp-101472.html
_________________

New to the Math Forum?
Please read this: 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

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 12895
Followers: 561

Kudos [?]: 158 [0], given: 0

Premium Member
Re: The standard deviation of a normal distribution of data is 2 [#permalink]

Show Tags

New post 27 Sep 2013, 01:54
1
This post was
BOOKMARKED
Hello from the GMAT Club BumpBot!

Thanks to another GMAT 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.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Intern
Intern
User avatar
Joined: 16 Mar 2014
Posts: 16
GMAT Date: 08-18-2015
Followers: 0

Kudos [?]: 6 [0], given: 123

GMAT ToolKit User Premium Member CAT Tests
Re: The standard deviation of a normal distribution of data is 2 [#permalink]

Show Tags

New post 04 May 2014, 02:29
Hello Bunuel,
Could you mind explaining what "2 (or 3) deviation below/above mean' means? I could apply formula to solve such question but I don't really understand the nature of the problem?

Thank you indeed,
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 35912
Followers: 6852

Kudos [?]: 90046 [0], given: 10402

Re: The standard deviation of a normal distribution of data is 2 [#permalink]

Show Tags

New post 04 May 2014, 07:39
yenh wrote:
Hello Bunuel,
Could you mind explaining what "2 (or 3) deviation below/above mean' means? I could apply formula to solve such question but I don't really understand the nature of the problem?

Thank you indeed,


The standard deviation of a set is some number as well as the mean. We are told that 3 standard deviations below the mean is greater than 43. 3 standard deviations below the mean is {Mean} - 3*{SD}, which we are told that is greater than 43.

Hope that similar questions given here will help to understand better.
_________________

New to the Math Forum?
Please read this: 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

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 12895
Followers: 561

Kudos [?]: 158 [0], given: 0

Premium Member
Re: The standard deviation of a normal distribution of data is 2 [#permalink]

Show Tags

New post 28 May 2015, 15:12
Hello from the GMAT Club BumpBot!

Thanks to another GMAT 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.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 12895
Followers: 561

Kudos [?]: 158 [0], given: 0

Premium Member
Re: The standard deviation of a normal distribution of data is 2 [#permalink]

Show Tags

New post 12 Jun 2016, 05:27
Hello from the GMAT Club BumpBot!

Thanks to another GMAT 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.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Top Contributor
Director
Director
User avatar
Joined: 11 Sep 2015
Posts: 858
Location: Canada
Followers: 89

Kudos [?]: 740 [0], given: 93

Re: The standard deviation of a normal distribution of data is 2 [#permalink]

Show Tags

New post 12 Jun 2016, 10:51
Top Contributor
yenh wrote:
Hello Bunuel,
Could you mind explaining what "2 (or 3) deviation below/above mean' means? I could apply formula to solve such question but I don't really understand the nature of the problem?

Thank you indeed,

Here's a video lesson on this topic:


Here's a practice question for reinforcement:


Cheers,
Brent
_________________

Brent Hanneson – Founder of gmatprepnow.com

Image

Brent also tutors students for the GMAT

Re: The standard deviation of a normal distribution of data is 2   [#permalink] 12 Jun 2016, 10:51
    Similar topics Author Replies Last post
Similar
Topics:
6 Experts publish their posts in the topic Which of the following data sets has the third largest standard deviat Bunuel 1 18 May 2016, 10:44
4 Experts publish their posts in the topic A data set with a mean of 60 has a standard deviation of 3.5 HarveyS 6 04 Jan 2014, 18:54
2 If the mean of a data set is 75 and the standard deviation is 10, what enigma123 3 23 Nov 2011, 13:02
4 Experts publish their posts in the topic Arithmetic mean and standard deviation of a certain normal anilnandyala 4 02 Nov 2010, 04:32
8 A Bell Curve (Normal Distribution) has a mean of − 1 and a standard hemanthp 6 26 Sep 2010, 08:53
Display posts from previous: Sort by

The standard deviation of a normal distribution of data is 2

  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 and phpBB SEO

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®.