GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 06 Apr 2020, 00:58

### 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

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

# A data set with a mean of 60 has a standard deviation of 3.5

Author Message
TAGS:

### Hide Tags

Manager
Joined: 14 Jan 2013
Posts: 127
Concentration: Strategy, Technology
GMAT Date: 08-01-2013
GPA: 3.7
WE: Consulting (Consulting)
A data set with a mean of 60 has a standard deviation of 3.5  [#permalink]

### Show Tags

Updated on: 05 Jan 2014, 04:44
1
4
00:00

Difficulty:

5% (low)

Question Stats:

79% (00:46) correct 21% (00:43) wrong based on 243 sessions

### HideShow timer Statistics

A data set with a mean of 60 has a standard deviation of 3.5. Which of the following is the smallest number that falls within one standard deviation of the mean?

A. 53
B. 56
C. 59
D. 63.5
E. 65

Originally posted by HarveyS on 04 Jan 2014, 18:54.
Last edited by Bunuel on 05 Jan 2014, 04:44, edited 1 time in total.
Edited the question.
Math Expert
Joined: 02 Sep 2009
Posts: 62498
Re: A data set with a mean of 60 has a standard deviation of 3.5  [#permalink]

### Show Tags

05 Jan 2014, 04:47
1
4
##### General Discussion
Senior Manager
Joined: 17 Sep 2013
Posts: 343
Re: A data set with a mean of 60 has a standard deviation of 3.5  [#permalink]

### Show Tags

05 Jan 2014, 10:21
1
1
Bunuel wrote:

56 is smaller than 56.5 and does not lie in between 56.5 and 63.5 (the specified range here). I think you meant 59. Answer C. No?
_________________
GMAT Club Legend
Joined: 11 Sep 2015
Posts: 4587
GMAT 1: 770 Q49 V46
Re: A data set with a mean of 60 has a standard deviation of 3.5  [#permalink]

### Show Tags

06 Aug 2018, 08:27
1
Top Contributor
HarveyS wrote:
A data set with a mean of 60 has a standard deviation of 3.5. Which of the following is the smallest number that falls within one standard deviation of the mean?

A. 53
B. 56
C. 59
D. 63.5
E. 65

-----------ASIDE-----------------------
A little extra background on standard deviations above and below the mean

If, for example, a set has a standard deviation of 4, then:
1 standard deviation = 4
2 standard deviations = 8
3 standard deviations = 12
1.5 standard deviations = 6
0.25 standard deviations = 1
etc

So, if the mean of a set is 9, and the standard deviation is 4, then:
2 standard deviations ABOVE the mean = 17 [since 9 + 2(4) = 17]
1.5 standard deviations BELOW the mean = 3 [since 9 - 1.5(4) = 3]
3 standard deviations ABOVE the mean = 21 [since 9 + 3(4) = 21]
etc.
-----------ONTO THE QUESTION-----------------------

A data set with a mean of 60 has a standard deviation of 3.5.
So, 1 standard deviation ABOVE the mean = 60 + 3.5 = 63.5
And 1 standard deviation BELOW the mean = 60 - 3.5 = 56.5

Which of the following is the smallest number that falls within one standard deviation of the mean?
The values within one standard deviation of the mean are all values that are greater than or equal to 56.5 AND less than or equal to 63.5
So, when we check the answer choices, we see that 59 is the smallest value that fits with the above range of values.

Cheers,
Brent
_________________
Test confidently with gmatprepnow.com
Director
Joined: 03 Feb 2013
Posts: 838
Location: India
Concentration: Operations, Strategy
GMAT 1: 760 Q49 V44
GPA: 3.88
WE: Engineering (Computer Software)
Re: A data set with a mean of 60 has a standard deviation of 3.5  [#permalink]

### Show Tags

04 Jan 2014, 23:13
Mountain14 wrote:
A data set with a mean of 60 has a standard deviation of 3.5. Which of the following is the smallest number that falls within one standard deviation of the mean?

53

56

59

63.5

65

I guess the question is little ambiguous. I didn't understand what "one standard deviation" meant. I took at as a number.
As [(59-60)^2]^1/2 = 1
So 59 satisfies that criteria.
Math Expert
Joined: 02 Sep 2009
Posts: 62498
Re: A data set with a mean of 60 has a standard deviation of 3.5  [#permalink]

### Show Tags

05 Jan 2014, 10:24
gmatbugsme84 wrote:
Bunuel wrote:

56 is smaller than 56.5 and does not lie in between 56.5 and 63.5 (the specified range here). I think you meant 59. Answer C. No?

Yes. Edited the typo. Thank you.
_________________
CrackVerbal Representative
Affiliations: CrackVerbal
Joined: 03 Oct 2013
Posts: 564
Location: India
GMAT 1: 780 Q51 V46
Re: A data set with a mean of 60 has a standard deviation of 3.5  [#permalink]

### Show Tags

05 Jan 2014, 22:43
Mountain14 wrote:
A data set with a mean of 60 has a standard deviation of 3.5. Which of the following is the smallest number that falls within one standard deviation of the mean?

A. 53
B. 56
C. 59
D. 63.5
E. 65

One standard deviation of the mean = 60 - 3.5 = 56.5 OR 60 + 3.5 = 63.5

From the answer options only 59 falls in this criteria hence answer is C.
_________________
- CrackVerbal Prep Team

Register for the Free GMAT Kickstarter Course : http://bit.ly/2DDHKHq

Register for our Personal Tutoring Course : https://www.crackverbal.com/gmat/personal-tutoring/

Join the free 4 part GMAT video training series : http://bit.ly/2DGm8tR
Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4874
Location: India
GPA: 3.5
Re: A data set with a mean of 60 has a standard deviation of 3.5  [#permalink]

### Show Tags

12 Feb 2017, 01:39
HarveyS wrote:
A data set with a mean of 60 has a standard deviation of 3.5. Which of the following is the smallest number that falls within one standard deviation of the mean?

A. 53
B. 56
C. 59
D. 63.5
E. 65

Range is = $$Mean$$ + $$SD$$

$$Range = 60$$ + $$3.5$$

Ie, Range is 56.5 to 63.5

Thus, among the given options only (C) 59 falls within the given range, answer will be (C)

_________________
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 )
Target Test Prep Representative
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2801
Re: A data set with a mean of 60 has a standard deviation of 3.5  [#permalink]

### Show Tags

18 Aug 2018, 18:56
HarveyS wrote:
A data set with a mean of 60 has a standard deviation of 3.5. Which of the following is the smallest number that falls within one standard deviation of the mean?

A. 53
B. 56
C. 59
D. 63.5
E. 65

Since one standard deviation below the mean is 60 - 3.5 = 56.5, 53 and 56 will fall outside one standard deviation of the mean. So 59 is the smallest number in the given answer choices that falls within one standard deviation of the mean.

Alternate Solution:

One standard deviation below the mean is 60 - 3.5 = 56.5, and one standard deviation above the mean is 60 + 3.5 = 63.5. Thus, we are looking for the smallest data value that falls in the interval from 56.5 to 63.5. We see from the answer choices that 59 meets the requirement.

_________________

# Jeffrey Miller

Jeff@TargetTestPrep.com
197 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Non-Human User
Joined: 09 Sep 2013
Posts: 14471
Re: A data set with a mean of 60 has a standard deviation of 3.5  [#permalink]

### Show Tags

05 Feb 2020, 13:01
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.
_________________
Re: A data set with a mean of 60 has a standard deviation of 3.5   [#permalink] 05 Feb 2020, 13:01
Display posts from previous: Sort by