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hi in this video were going to work with the normal distribution and find cutoff points corresponding to a given percentile lets try it with an example the average daily high temperature in June and ly is 77 degrees Fahrenheit with a standard deviation of 5 degrees Fahrenheit suppose that the temperatures in June closely follow a normal distribution how cold are the coldest 10% of the days during June in LA were given a normal distribution so the first thing we should do is to draw a curve and Mark our mean then we want to think about where does this observation live the cutoff point for the coldest 10% of the days in June in LA since as the coldest 10% its going to be located at the lower end of the distribution were kind of guesstimating a cut-off your ear there and were interested in this unknown observation X were working with a normal distribution we have some percentiles it makes sense to think about z-scores usually we calculate a z-score as an observation minus the mean
