STAT 100 Lecture Notes - Lecture 4: Standard Deviation, Normal Distribution, Random Variable

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The density curves are deined by probability density funcions. Always on or above the horizontal axis. Has an area of exactly 1 underneath curve. Area under the curve and above any range of values is the proporion of all observaions that fall in that range. Describes the overall patern of a distribuion. The median of a density curve is the equal-areas point, the point that divides the area under the curve in half. The mean of a density curve is the balance point, at which the curve would balance if made of solid material. The mean and the median are the same for a symmetric density curve. The mean and standard deviaion of the idealized distribuion of the data represented by the density curve are denoted by and . The distribuion normal curves describe are normal distribuions. A normal distribuion is described by a normal density curve.

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