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# Given that the mean of Set A is 10, what is the range of two

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Intern
Joined: 11 Feb 2012
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Given that the mean of Set A is 10, what is the range of two [#permalink]

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05 Nov 2012, 21:09
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Given that the mean of Set A is 10, what is the range of two standard deviations above and below the mean?

(1) One standard deviation above and below the mean ranges from 7 to 13.

(2) The median of set A is 11.
[Reveal] Spoiler: OA
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Re: Given that the mean of Set A is 10, what is the range of two [#permalink]

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06 Nov 2012, 20:07
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smartass666 wrote:
Given that the mean of Set A is 10, what is the range of two standard deviations above and below the mean?

(1) One standard deviation above and below the mean ranges from 7 to 13.

(2) The median of set A is 11.

1. standard deviation = 3 since mean = 10... 3 units below and 3 units above. can calculate range of 2 standard deviations above and below mean by: 10-6 = 4 and 10+6 = 16... range of 2 standard deviations above and below mean = (4, 16)
2. gives no information on standard deviation. insufficient.

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Posts: 39622
Re: Given that the mean of Set A is 10, what is the range of two [#permalink]

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07 Nov 2012, 05:17
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smartass666 wrote:
Given that the mean of Set A is 10, what is the range of two standard deviations above and below the mean?

(1) One standard deviation above and below the mean ranges from 7 to 13.

(2) The median of set A is 11.

Similar questions to practice:
70-75-80-85-90-105-105-130-130-130-the-list-shown-consist-of-100361.html
the-standard-deviation-of-a-normal-distribution-of-data-is-99221.html
for-a-certain-exam-a-score-of-58-was-2-standard-deviations-b-128661.html

Hope it helps.
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Re: Given that the mean of Set A is 10, what is the range of two [#permalink]

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04 Jan 2013, 06:00
watwazdaquestion wrote:
smartass666 wrote:
Given that the mean of Set A is 10, what is the range of two standard deviations above and below the mean?

(1) One standard deviation above and below the mean ranges from 7 to 13.

(2) The median of set A is 11.

1. standard deviation = 3 since mean = 10... 3 units below and 3 units above. can calculate range of 2 standard deviations above and below mean by: 10-6 = 4 and 10+6 = 16... range of 2 standard deviations above and below mean = (4, 16)
2. gives no information on standard deviation. insufficient.

how did u calculate the standard deviation to be 3?
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Re: Given that the mean of Set A is 10, what is the range of two [#permalink]

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20 Feb 2013, 16:53
1. says that 1 standard deviation above and below the mean ranges from 7 to 13. Calculate the range. Range=6.

Now, standard deviation for a set is constant. Let us draw a number line.

---------|----------------|---------------|------------------
-m mean +m

In this line segment, mean is at the center and the distance between 2 equal points -m and +m from mean is 6. These two points are equidistant as they are mentioned to be one standard deviation above and below the mean. Hence, the range of values between them=2m
2m=6
Hence, m=3

Hope this clarifies any doubts!

Sachin9 wrote:
watwazdaquestion wrote:
smartass666 wrote:
Given that the mean of Set A is 10, what is the range of two standard deviations above and below the mean?

(1) One standard deviation above and below the mean ranges from 7 to 13.

(2) The median of set A is 11.

1. standard deviation = 3 since mean = 10... 3 units below and 3 units above. can calculate range of 2 standard deviations above and below mean by: 10-6 = 4 and 10+6 = 16... range of 2 standard deviations above and below mean = (4, 16)
2. gives no information on standard deviation. insufficient.

how did u calculate the standard deviation to be 3?
Intern
Joined: 11 Mar 2014
Posts: 9
Given that the mean of Set A is 10, what is the range of two [#permalink]

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21 Aug 2014, 23:42
The solutions provided above are still not clear. Could someone please make an attempt to give a detailed solution as I am very weak at mean median mode problems
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Re: Given that the mean of Set A is 10, what is the range of two [#permalink]

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22 Aug 2014, 03:11
neeti1813 wrote:
The solutions provided above are still not clear. Could someone please make an attempt to give a detailed solution as I am very weak at mean median mode problems

Hi Neeti,

You need to review basics.

Go through the link below and then comeback to the question to see if you can answer it

math-standard-deviation-87905.html
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Re: Given that the mean of Set A is 10, what is the range of two [#permalink]

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01 Sep 2015, 19:38
Hello from the GMAT Club BumpBot!

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Re: Given that the mean of Set A is 10, what is the range of two [#permalink]

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15 May 2016, 14:44
Statement 1 states that 7 is one standard deviation below the mean and 13 is one standard deviation above the mean , clearly we can calculate range of two standard deviations above and below the mean which would be
lower range below mean - 4
upper range above mean - 16
So clearly sufficient
Statement 2 states the median of the set which is of no use in standard deviation calculations so clearly inufficient
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Re: Given that the mean of Set A is 10, what is the range of two [#permalink]

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13 Jun 2017, 23:28
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).

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Re: Given that the mean of Set A is 10, what is the range of two   [#permalink] 13 Jun 2017, 23:28
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