Chp. 5 z-Scores: Location of Scores and Standardized Distributions Flashcards
Raw Score
Original, unchanged scores that are the result of measurement
Deviation Score
x - µ
The Numerator of the from the z-score formula Z = (x - µ) ÷ σ. It measures the distance in points between X and µ and the sign of the deviation indicates whether X is located above or below the mean.
Standardized Distribution
A standard 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.
z-Score
Z = (x - µ) ÷ σ
A z-score specifies the precise location of each X value within a distribution. The sign of the z-score (+ or -) signifies whether the score is above the mean (positive) or below the mean (negative). The numerical value of the z-score specifies the distance from the mean by counting the number of standard deviations between X and μ
z-Score Transformation
The process that changes a distribution of X values into a new distribution of z-scores. One can think of the z-score transformation as simply relabeling the values along the X-axis. The distribution is the same.
Standardized Score
Scores resulting form a standardized distribution.