STAT-2126EL Chapter 5-6: Stats Ch. 5 & 6

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Section 5. 1: intro to z-scores: a score by itself does not necessarily provide much information about its position within a distribution, raw scores: the original, unchanged scores that are the direct result of measurement. The z-score formula: the formula for transforming scores into z-scores is, z = (x- )/ , the numerator , x- , is a deviation score which measures the distance in points between x & & indicated whether x is located above or below the mean: the deviation score is then divided by because we want the z-score to measure distance in terms of standard deviation units. Determining a raw score (x) from a z-score: the formula for transforming z-scores into x values, x = + z . In the formula, the value of z is the deviation of x & determines both the direction & the size of the distance from the mean.

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