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Standard Deviation Question: What is the mean?

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Intern
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Joined: 17 Feb 2008
Posts: 28

Kudos [?]: 19 [0], given: 5

Standard Deviation Question: What is the mean? [#permalink]

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New post 02 Mar 2009, 23:41
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

For a certain exam, a score of 58 was 2 Standard Deviation below the mean, and a score of 98 was 3 Standard Deviation above the mean. What was the mean score for the exam?

Ans: 74
------------------------------------------------------------------------------------------------------------------------------

Can someone please break this down for me, as Im stumped on how to calculate this.

Kudos [?]: 19 [0], given: 5

Director
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Joined: 27 May 2008
Posts: 540

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Re: Standard Deviation Question: What is the mean? [#permalink]

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New post 02 Mar 2009, 23:52
Forrester300 wrote:
For a certain exam, a score of 58 was 2 Standard Deviation below the mean, and a score of 98 was 3 Standard Deviation above the mean. What was the mean score for the exam?

Ans: 74
------------------------------------------------------------------------------------------------------------------------------

Can someone please break this down for me, as Im stumped on how to calculate this.


58 = M - 2x
98 = M + 3x

solve for M and x

x = 8
M = 74

This is a simple algebra question disguised as a complex statistics problem.... :)

Kudos [?]: 371 [0], given: 0

Re: Standard Deviation Question: What is the mean?   [#permalink] 02 Mar 2009, 23:52
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