MAT232 Ashford Normal Distribution via The Binomial Distribution Paper

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There will be a video clip you must watch to help with post.

This video explains the normal distribution via the binomial distribution: The distribution of the number of heads thrown on 20 coins approximates the normal. This is used to explain that the normal distribution is the mathematical consequence of adding up a large number of random events. Some examples are given of normal distributions in the natural world (mass of ants) and social world (age of marathon runners) and explained in terms of these phenomena resulting from the aggregation of random events.

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What is the link between the normal distribution and Video 5: Variation 2 (and Egg Roulette), where we relied on statements such as “about two-thirds of observations are within one standard deviation of the
mean”?

https://mediaplayer.pearsoncmg.com/assets/_jGvVe5Jbkm44I2D0TWEMnsz6A6Y7fin