MATH 1F92 Lecture Notes - Lecture 7: Aaron Rodgers, Standard Deviation

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Range, standard deviation and variance are all measures of dispersion. The higher the range, standard deviation or variance is, the more spread out the data is. Imagine having data that is roughly bell curved or symmetric . If this is the case, the empirical value allows us to approximate the percentage of data that lies within 1, 2 or 3 standard deviations of the mean. If the distribution is roughly bell shaped: approximately 68% of data will lie within 1 standard deviation of the mean or. 68% of data lies in between ( - ) and ( + : approximately 95% of data will lie within 2 standard deviations of the mean or. 95% of data lies in between ( - 2 ) and ( + 2 : approximately 99. 7% of data will lie within 3 standard deviations of the mean or. The following are 16 data points for aaron rodger"s 2015 football fantasy points(in ascending order):

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