Question

OMG CAN SOMEBODY PLEASE HELP ME PLLLLLLLLLLLSSS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Graduate Management Aptitude Test (GMAT) scores are widely used by graduate schools of business as an entrance requirement. Suppose that in one particular year, the mean score for the GMAT was 476, with a standard deviation of 107.

What values are two standard deviations above and below the mean?

Answer 1

So we want to start at 476. Then subtract and add 107 to find the standard deviation increments above and below.
476-107=369
369-107=199
199-107=29

Answer 2

The values that are two standard deviations above and below the mean are 690 and 262, respectively

How to determine the values?

The given parameters are:

Mean = 476

Standard deviation = 107

The values above and below the mean are calculated using:

$x = \bar x \pm n\sigma$

In this case n =2.

So, we have:

$x = \bar x \pm 2\sigma$

The value above is:

x = 476 + 2 * 107 = 690

The value below is:

x = 476 - 2 * 107 = 262

Hence, the values that are two standard deviations above and below the mean are 690 and 262, respectively

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