The Standard Normal Curve, Empirical Rule, & Z-Scores

In this video I explain how we can use the equation for a normal curve to generate a probability density function and use that to estimate probabilities. While normal curves may differ in where they are centered and how spread out they are, the probabilities associated with comparable sections will always be the same. This means that we can generate a standard version of the normal curve which is centered at 0 with a standard deviation of 1, and then use this estimate the probabilities for any normal curve by converting to standard deviation units, known as Z-scores. The Empirical Rule, or 68-95-99.7 rule tells us the percentage of scores in a normal distribution that will fall within 1, 2, and 3 standard deviations of the mean.

[@dødegeitersomharoraldød]

Thank you for this.

[@PsychExamReview]

You're welcome!