STAT 1000Q Lecture Notes - Lecture 4: Interquartile Range, Standard Deviation, Percentile

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2, -2, -1, -1, 0, 0, 6, 0: find sample size, 8, sort data set, variance, -2, -2, -1, -1, 0, 0, 0, 6, (cid:1871)(cid:2870)= (cid:4666)(cid:3117) (cid:4667)+(cid:4666)(cid:3118) (cid:4667)+ +(cid:4666) (cid:4667, calculate sample mean. =(cid:882) (cid:2876) (cid:2869: sample standard deviation, = (cid:2870)+ (cid:2870)+ (cid:2869)+ (cid:2869)+(cid:2868)+(cid:2868)+(cid:2868)+(cid:2874) (cid:2876, (cid:1871)(cid:2870)= (cid:4666) (cid:2870) (cid:2868)(cid:4667)(cid:3118)+(cid:4666) (cid:2870) (cid:2868)(cid:4667)(cid:3118)+(cid:4666) (cid:2869) (cid:2868)(cid:4667)(cid:3118)+(cid:4666) (cid:2869) (cid:2868)(cid:4667)(cid:3118)+ (cid:4666)(cid:2868) (cid:2868)(cid:4667)(cid:3118)+(cid:4666)(cid:2868) (cid:2868)(cid:4667)(cid:3118)+(cid:4666)(cid:2868) (cid:2868)(cid:4667)(cid:3118)+(cid:4666)(cid:2874) (cid:2868)(cid:4667)(cid:3118) (cid:2872)(cid:2874)(cid:2875) (cid:888). (cid:887)(cid:889, (cid:888). (cid:887)(cid:889)=(cid:884). (cid:887)(cid:888)=(cid:1871, on average, most data points are around the mean standard, s , 2. 56 0. Empirical rule: in the case of bell-shaped distribution, in one standard deviation away from the deviation mean, 68% of the data set is included. 68: within 2 standard deviations away from the median, 95% of the data set is included. 95: within 3 standard deviations away, 99. 7% of data set is included. = (cid:2874) (cid:2868)(cid:2870). (cid:2873)(cid:2872) = |(cid:884). (cid:885)(cid:886)|

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