Why is a Z score a standard score? Why can standard scores be used to compare scores from different distributions? Why is it useful to compare different distributions?

A Z score is a standard score because it compares various variables through distribution standardization. This facilitates the establishment of how far a data point is from the mean. As such, scores above the mean possess positive z scores, and those below have negative z scores. However, since standard scores apply to the standard deviation and mean, they cannot be used to compare different distribution scores but only for normal distribution scores. Nonetheless, it is essential to compare various distributions because this allows for normal distribution probability distributions, including different normal distributions.

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Academic.Tips. 2022. "Why is a Z score a standard score? Why can standard scores be used to compare scores from different distributions? Why is it useful to compare different distributions?" November 28, 2022. https://academic.tips/question/why-is-a-z-score-a-standard-score-why-can-standard-scores-be-used-to-compare-scores-from-different-distributions-why-is-it-useful-to-compare-different-distributions/.

1. Academic.Tips. "Why is a Z score a standard score? Why can standard scores be used to compare scores from different distributions? Why is it useful to compare different distributions?" November 28, 2022. https://academic.tips/question/why-is-a-z-score-a-standard-score-why-can-standard-scores-be-used-to-compare-scores-from-different-distributions-why-is-it-useful-to-compare-different-distributions/.


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