[STA 2023] - Final Exam Guide - Ultimate 63 pages long Study Guide!
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Section 3. 3/3. 4 measures of position and exploratory data analysis (eda) A z-score represents the number of standard deviations a value is above or below the mean. Example 1- comparing z-scores. section, the average (mean) was 64 and her score was 74. Suppose tina and jack are in two different sections of the same course. In jack" section, the mean was (cid:889)(cid:884) and his score was (cid:890)(cid:884). The standard deviation in jack"s section was (cid:883)(cid:882). How did tina and jack perform on each test with respect to the other student"s in the section: find the z-score for tina"s score and jack"s score. Tina did better relative to her class: find the z-score for each test score. The standard deviation measures how spread out observations are with respect to the mean. But if we don"t use the mean, then it doesn"t make sense to use the standard deviation.
