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The lifetime of all the batteries produced by a certain comp [#permalink]
21 Sep 2010, 20:34

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25% (medium)

Question Stats:

70% (01:45) correct
30% (00:48) wrong based on 150 sessions

The lifetime of all the batteries produced by a certain company in a year have a distribution that is symmetric about the mean m. If the distribution has a standard deviation of d, what percent of the distribution is greater than m+d?

(1) 68 percent of the distribution lies in the interval from m-d to m+d, inclusive (2) 16 percent of the distribution is less than m-d

Can sum1 explain the concept behind this...Looking at the answer I have come up with my own assumptions...

Re: SD symmetric about the mean [#permalink]
21 Sep 2010, 20:59

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The lifetime of all the batteries produced by a certain company in a year have a distribution that is symmetric about the mean m. If the distribution has a standard deviation of d, what percent of the distribution is greater than m+d?

Symmetric about the mean means that the shape of the distribution on the right and left side of the curve are mirror-images of each other.

(1) 68% of the distribution lies in the interval from m-d to m+d, inclusive --> 100%-68%=32% is less than m-d and more than m+d. As distribution is symmetric about the mean then exactly half of 32%, or 16%, would be more than m+d. Sufficient.

(2) 16% of the distribution is less than m-d --> again, as distribution is symmetric about the mean then exactly 16%, will be more than m+d. Sufficient.

Re: SD symmetric about the mean [#permalink]
22 Sep 2010, 15:34

Thank you. I drew a diagram with normal distribution and came up with this assumptions...But now I am happy looking at ur explanations that my assumptions are true. +1 _________________

Re: SD symmetric about the mean [#permalink]
15 Mar 2011, 23:31

Bunuel wrote:

The lifetime of all the batteries produced by certain companies have a distribution which is symmetric about mean m. If the distribution has a standard deviation of d , what percentage of distribution is greater than m+d?

Symmetric about the mean means that the shape of the distribution on the right and left side of the curve are mirror-images of each other.

(1) 68% of the distribution lies in the interval from m-d to m+d, inclusive --> 100%-68%=32% is less than m-d and more than m+d. As distribution is symmetric about the mean then exactly half of 32%, or 16%, would be more than m+d. Sufficient.

(2) 16% of the distribution is less than m-d --> again, as distribution is symmetric about the mean then exactly 16%, will be more than m+d. Sufficient.

Answer: D.

Hope it helps.

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Re: SD symmetric about the mean [#permalink]
02 Feb 2012, 09:09

@ ghosh

bell curve is an important topic and often questions crop up. i got one such in my gmat, though it was east, but the qs stem is verbose and one has to make out that its a qs on bell curve. _________________

"To be Nobody but yourself in a world that's doing its best to make you somebody else, is to fight the hardest battle you are ever going to fight. never stop fighting" - E.E Cummings

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Mind is everything, u become what u think - Gautam Buddha

He who is not courageous enough to take risks will accomplish nothing in life - Muhammad Ali

Re: SD symmetric about the mean [#permalink]
02 Jul 2013, 05:57

Bunuel wrote:

The lifetime of all the batteries produced by a certain company in a year have a distribution that is symmetric about the mean m. If the distribution has a standard deviation of d, what percent of the distribution is greater than m+d?

Symmetric about the mean means that the shape of the distribution on the right and left side of the curve are mirror-images of each other.

(1) 68% of the distribution lies in the interval from m-d to m+d, inclusive --> 100%-68%=32% is less than m-d and more than m+d. As distribution is symmetric about the mean then exactly half of 32%, or 16%, would be more than m+d. Sufficient.

(2) 16% of the distribution is less than m-d --> again, as distribution is symmetric about the mean then exactly 16%, will be more than m+d. Sufficient.

Answer: D.

Hope it helps.

How valuable is the portion in red if you don't read the question carefully would have marked C instead of D! _________________

Re: The lifetime of all the batteries produced by a certain comp [#permalink]
04 Sep 2014, 10:39

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. _________________

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