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Find the z-score for raw score X = 93

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spock7 | Student, Undergraduate | Honors

Posted August 2, 2012 at 3:35 PM via web

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Find the z-score for raw score X = 93

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lfryerda | High School Teacher | (Level 2) Educator

Posted August 2, 2012 at 11:39 PM (Answer #1)

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The z-score is used with a normal distribution and requires the mean and standard deviation in addition to the raw score X in order to determine the z-score using the formula `z={X-mu}/sigma` where X is the raw score, `mu` is the mean and `sigma` is the standard deviation.

For example, if the mean is `mu=89`, the standard deviation is `sigma=2` then we can calculate the z-score by using the formula

`z={X-mu}/sigma`

`={93-89}/2`

`=4/2`

`=2`

So in this example, the z-score is z=2.

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