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Chapter 9 – The Normal Distribution Math 22 Introductory Statistics Properties of the Normal Distribution Basic properties of all normal distributions: The total area under the curve is equal to 1 The distribution is bell shaped and symmetric The curve extends to infinity in both directions The distribution is centered at the mean The mean is equal to the median Properties of the Normal Distribution The area under the curve between any two points of the normal distribution is equal to the probability of observing a value between those two points. z - Score Number of standard deviations an observation resides from the mean. observatio n - mean z standard deviation x x z x The Standard Normal Distribution The mean is equal to 0. The standard deviation is equal to 1. Finding Probabilities probabilities using the TI – 83. Percentiles Finding