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STAT1051_lesson8-1

# STAT1051_lesson8-1 - Density Curves and the Normal...

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Density Curves and the Normal Distribution NORMAL DISTRIBUTION

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Density Curves Density curve is a curve that is (a) is always above the x-axis(horizontal axis) (b) Has total area under the curve to be 1. It describes the overall pattern of distribution Area under the curve over any interval gives the proportion of observations that fall in that interval.
3 Normal Distribution An important distribution that models population distributions with a symmetric mound shaped distribution Probability density function is a bell shaped curve Normal distribution keeps showing throughout the rest of the course

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4 Normal Distribution Curve is symmetric about the mean µ Total area under the curve is 1 Area to the right of µ is 0.5 Area to the left of µ is 0.5 σ determines the spread of the distribution. μ 0.5 0.5 X
5 Normal Distribution Symmetric about the mean μ f(x) 0, as x →∞ or x - ; f(x) > 0, for all x.

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6 The Normal Distribution The mean and standard deviation affect the flatness and center of the curve, but not the basic shape
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STAT1051_lesson8-1 - Density Curves and the Normal...

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