What information is provided by the sign (+/–) of a z-score? What information is provided by the numerical value of the z-score?

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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What information is provided by the sign (+/–) of
a z-score? What information is provided by the
numerical value of the z-score?
Transcribed Image Text:What information is provided by the sign (+/–) of a z-score? What information is provided by the numerical value of the z-score?
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Step 1

Let, the dataset scores have a mean µ and standard deviation σ.

Then the z score of a given score , z score = score - µσ

Now, z score > 0 if score > µ

and, z score < 0 if score < µ

So, the sign of z  score provide the information whether the data point is greater than mean or less than mean.

If z score is greater than 0 then score is greater than mean.

and, if the z score is less than 0 then score is less than mean.

 

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