Posted by **sam** on Sunday, August 23, 2009 at 11:45am.

Find the z-score for the given raw score, mean, and standard deviation. Assume a normal probability distribution

score = 15, ì = 16 , and ó = 2

Could you show me how to do this. My instructor has tried but I just don't understand how to do it and I have several questions to answer that are just like this.

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**Marth**, Sunday, August 23, 2009 at 11:52am
z = (x-u)/s, where x is the value, u is the mean, and s is the standard deviation.

You have x = 15, u = 16, and s = 2. z =?

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**sam**, Sunday, August 23, 2009 at 12:01pm
but wouldn't that make it a negative?

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**Marth**, Sunday, August 23, 2009 at 12:03pm
You can have a negative z score.

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**sam**, Sunday, August 23, 2009 at 12:09pm
So anytime it is asking for a z score this is the formula to use? What if it was not normal distribution? Is their another formula?

Thank you for your help. I wish my instructor explained it that easy!

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**Marth**, Sunday, August 23, 2009 at 1:01pm
Z scores are used for finding probabilities with normal distributions.

If you cannot assume the distribution is normal, a z score would not be used.

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