Normal Distributions Objective In this lesson, you will Knowledge Article: Normal Distributions Section: Normal Distribution-Special Properties A normal distribution is symmetric: it is not to the left or to the right of the mean. Mean (u): Specifies the of a normal curve. . Symmetry (1): The curve of a normal distribution is about the axis x = u. . Peak (2): The highest point of the normal curve occurs at the value. This means the probability density is greatest at the_ . Probabilities (3): The areas under the curve to the left 1 and to the right of the mean are . This uto means a normal variable has probabilities of being greater than or smaller than the Standard Deviation (): Determines the and of a normal curve. . Height (1): Depends on the value of the standard deviation. A greater value of o implies a 1 height of the peak. . Width (2): Depends on the value of the standard deviation. A larger value of o gives a width, or , of the distribution. 3 . Probability density (3): Most of the area under the u- a uta normal curve lies within a few of the mean. Copyright @ 2019 Edmentum Inc. All Rights Reserved