SOCY 211 Lecture Notes - Lecture 4: Central Limit Theorem, Standard Score, Simple Random Sample

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Using examples from the socy211 test 1. Mean: 30/40= 75% standard deviation (s)= 5. 68% of the class will fall within one standard deviation below the mean of 30 and one standard deviation above the mean of 30 (between 25-35 out of 40 62. 5%-87. 5%) We can compute z scores: i. e. , 15 students scored 32/40= 80% From z score to the mean= 0. 1554 area beyond the z score= 0. 3446. Calculation of the percentage of people that they did better than (people with a score of. Score that is above the mean has a positive z score; below the mean, negative z score. Students that scored 25/40 did better than 15. 9% of the class. If we add the area between their z scores and the mean (0. 3413) to the area above the mean (0. 5) we get 0. 8413; therefore 84% of the class scored better than students who scored 25/40.

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