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hi in this video were going to work with the normal distribution and find cut off points corresponding to a given percentile lets try it with an example the average daily high temperature in Jun and ala is 77 f with a standard deviation of 5 fite 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 cut off point for the coldest 10% of the days in June in La since its the coldest 10% its going to be located at the lower end of the distribution were kind of guesstimating a cut off area 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 zores usually we calculate a zcore as an observation minus a mean divided by a standard deviation and