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Intro to Stat Ch 5 Z-Scores I

AB
z-scoretells exactly where the score is located relative to all the other scores in the distribution
The sign of the z-score (+ or –)identifies whether the X value is located above the mean (positive) or below the mean (negative)
The numerical value of the z-scorecorresponds to the number of standard deviations between X and the mean of the distribution
raw scoreAn original, untransformed observation or measurement
z-score transformationchanges raw scores (X values) into z-scores.
standard scoreA score that has been transformed into a standard form.
standardized distributionAn entire distribution that has been transformed to create predetermined values for μ and σ.
formula, z-score for a populationz = X – μ / σ
formula, z-score for a samplez = X-M / s


Assistant Professor(s) of Nursing
Roseman University of Health Sciences
Henderson, NV

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