PSYC 2301 Lecture Notes - Lecture 5: Raw Score, Standard Deviation
Document Summary
Chapter 5: z-scores: location of scores and standardized distributions. Tools you will need: the mean (chapter 3, the standard deviation (chapter 4, basic algebra (math review, appendix a) Identify and describe location of every score in the distribution: standardize an entire distribution, take different distributions and make them equivalent and comparable. 5. 2 z-scores and location in a distribution: exact location is described by z-score. Sign tells whether score is located above or below the mean. Number tells distance between score and mean in standard deviation units. Equation (5. 1) for z-score: numerator is a deviation score, denominator expresses deviation in standard deviation units. X: algebraically solve for x to reveal that , raw score is simply the population mean plus (or minus if z is below the mean) z multiplied by population the standard deviation. 5. 3 standardizing a distribution: every x value can be transformed to a z-score, characteristics of z-score transformation. Sat has = 500 and = 100.
