Chapter 9 – The Normal Distribution Math 22 Introductory Statistics.

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Presentation transcript:

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.

The Standard Normal Distribution  The mean is equal to 0.  The standard deviation is equal to 1.

Finding Probabilities  Finding probabilities using the TI – 83.  Percentiles