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  • Card 3 / 3:
    z-score

    The linear transformation of the form z = x − μ σ . If this transformation is applied to any normal distribution X ~ N ( μ , σ ) , the result is the standard normal distribution Z ~ N ( 0,1 ) . If this transformation is applied to any specific value x of the RV with mean μ and standard deviation σ , the result is called the z-score of x . Z-scores allow us to compare data that are normally distributed but scaled differently.

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Source:  OpenStax, Collaborative statistics. OpenStax CNX. Jul 03, 2012 Download for free at http://cnx.org/content/col10522/1.40
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