Statistics: Percentiles, Z-scores, and Normal Distributions

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7 Terms

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Percentile

the value with p% of observations less than or equal to it

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Standardized Score (z-score)

tells us how many standard deviations from the mean the value falls and in what direction

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Cumulative Relative Frequency Graph

plots a point corresponding to the percentile of a given value in a distribution of quantitative data. Consecutive points are then connected with a line segment to form the graph

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Normal Curve

a symmetric, single-peaked, mound-shaped curve

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Normal Distribution

distribution described by a normal curve and completely specified by the mean and standard deviation

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The Empirical Rule

About 68% of the values fall within one standard deviation of the mean

About 95% of the values fall within two standard deviations of the mean

About 99.7% of the values fall within three standard deviations of the mean

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Standard Normal Distribution

the normal distribution with mean 0 and standard deviation 1