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# If the mean of a data set is 75 and the standard deviation is 10, what

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Director
Status: Finally Done. Admitted in Kellogg for 2015 intake
Joined: 25 Jun 2011
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Location: United Kingdom
GMAT 1: 730 Q49 V45
GPA: 2.9
WE: Information Technology (Consulting)
If the mean of a data set is 75 and the standard deviation is 10, what [#permalink]

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23 Nov 2011, 14:02
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If the mean of a data set is 75 and the standard deviation is 10, what is the range of scores that fall within one standard deviation of the mean?

How can I solve these kind of questions guys? What's the meaning of one SD from the mean? I am struggling badly.
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Best Regards,
E.

MGMAT 1 --> 530
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GMAT ==> 730

Kudos [?]: 3953 [0], given: 217

Senior Manager
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Re: If the mean of a data set is 75 and the standard deviation is 10, what [#permalink]

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23 Nov 2011, 14:59
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score ranges between 85 and 65, where 85 is within one Standard deviation above the mean and 65 is within one standard deviation below the mean
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Re: If the mean of a data set is 75 and the standard deviation is 10, what [#permalink]

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23 Nov 2011, 16:02
So range is 85 - 65 = 20

Kudos [?]: 189 [0], given: 46

Senior Manager
Status: D-Day is on February 10th. and I am not stressed
Affiliations: American Management association, American Association of financial accountants
Joined: 12 Apr 2011
Posts: 259

Kudos [?]: 353 [1], given: 52

Location: Kuwait
Schools: Columbia university
Re: If the mean of a data set is 75 and the standard deviation is 10, what [#permalink]

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24 Nov 2011, 04:43
1
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if the mean of a data set is 75 and the standard deviation is 10, what is the range of scores that fall within one standard deviation of the mean?

what I meant is that the range of scores within one standard deviation from the mean, which is 75, falls between 85 and 65.

got the 85 by adding 10 to 75
got 65 by subtracting 10 from 75
this range falls within one SD from the mean of 75.

further expl.

if you want to get the range of scores that fall within 2SD from the mean is by:
adding 20, to 75 ,which results in 95
subtracting 20 from 75, which results in 55.
so the range of scores that falls between 2 SD from the mean is scores from 55 to 95.

so, you just need to add SD to the mean, and subtract the SD from the mean in order to get the range of scores that falls within one standard deviation

hope this helps,
_________________

Sky is the limit

Kudos [?]: 353 [1], given: 52

Re: If the mean of a data set is 75 and the standard deviation is 10, what   [#permalink] 24 Nov 2011, 04:43
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