SDS 306 Lecture Notes - Lecture 11: Standard Deviation, Normal Distribution, Unimodality

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M (read mew ) represents the population mean. S (read sigma ) represents the population standard deviation. N(m, s) represents a normal distribution with mean m and standard deviation s. N(0, 1) is called the standard normal model, or the standard normal distribution. Where do values fall in the normal distribution: the 68-95-99. 7 rule. 68% of the values fall within 1 standard deviation of the mean. 95% of the values fall within 2 standard deviations of the mean. 99. 7% of the values fall within 3 standard deviations of the mean. In the 2010 winter olympics men"s slalom, li lei"s time was 120. 86 sec, about 1 standard deviation slower than the mean. Given the normal model, how many of the. About 68% are within 1 standard deviation of the mean. 100% 68% = 32% are outside. 32% / 2 = 16% are slower. About 7 are slower than li lei.

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