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welcome compadres today were going to learn how to mathematically model our data with a long normal distribution and then get our p90 p50 and p10 so if you recall in the introductory video we talked about putting our data on a plot and fitting it with a straight line in the case of a log normal distribution our straight line is going to be a equation of this form up here so the first step we want to do is we want to plot the natural log of our random variables or our data versus our z score so over here weve already determined our z score we just want to determine our natural log of our data values and then if we plot our z-score versus the natural log of our data values or random variables you plot that online right here so its already been plotted you can see that we fit a straight line through it using linear regression and we end up with the equation of this form so we can directly extract the standard v deviation and mean of our log normal variables right here so the next step