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Find the raw score (X) for z-score = -1.50

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spock5 | Student, Undergraduate | (Level 1) Honors

Posted August 2, 2012 at 3:26 PM via web

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Find the raw score (X) for z-score = -1.50

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sciencesolve | Teacher | (Level 3) Educator Emeritus

Posted August 2, 2012 at 3:35 PM (Answer #1)

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You should evaluate the raw score using the next formula:

`z = (x - mu)/sigma`

x represents the raw score, `sigma`  represents the standard deviation and `mu`  is the mean.

Since the problem offers only the value of z score, you should substitute it in the formula above such that:

`-1.5 = (x - mu)/sigma =gt -1.5 sigma = x - mu`

`x = mu - 1.5 sigma`

Hence, evaluating the raw score if only the z score is given yields `x = mu - 1.5 sigma` .

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