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Z-SCORES - Coggle Diagram
Z-SCORES
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A z-score always consists of two parts: a sign (+ or −) and a magnitude (the numerical value). Both parts are necessary to describe completely where a raw score is located within a distribution.
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A standardized distribution is composed of scores that have been transformed to create predetermined values for
μ and σ. Standardized distributions are used to make dissimilar distributions comparable.
A z-score distribution is an example of a standardized distribution with μ=0 and σ=1.That is, when any distribution (with any mean or standard deviation) is transformed into z-scores, the transformed distribution will always have μ=0 and σ=1
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Shape The distribution of z-scores will have exactly the same shape as the original distribution of scores.
If the original distribution is negatively skewed, for example, then the z-score distribution will also be negatively skewed
If the original distribution is normal, the distribution of z-scores will also be normal
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