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Deviation from the Mean - GMATPrep

Expert replies
Source: — Problem Solving |

by onesome » Sun Jul 06, 2008 7:49 pm
Lets say mean = m
And standard deviation = s

Now as per the question:
98 = m + 3s
58 = m - 2s

Solving the above equations for m gives m = 74.

Therefore 74.
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by sethids » Mon Jul 07, 2008 7:15 am
The difference between the two given data points is 98-58 = 40.
The distance between these points is of 5 standard deviations.
=> Standard Deviation = 40/5 = 8.
Mean = 98 - 3*8 or 58 + 2*8 which indicates 74 is the answer.
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