The normal curve is symmetrical about the mean the mean is at. In probability theory, a normal distribution is a type of continuous probability distribution for a. The normal distribution is an extremely important continuous probability distribution that arises very. Because the normal distribution approximates many natural phenomena so well, it has developed into a standard of reference for many probability problems. Characteristics of the normal distribution symmetric, bell shaped. An introduction to the normal distribution, often called the gaussian distribution.
Properties of probability density function pdf are also explained here along with their derivations. Like its one dimensional counterpart, the bivariate normal distribution has the following properties. The more formal name of a histogram of this shape is a normal curve. The shape of the curve is shown in the following figure. Some of the major characteristics of normal probability curve are as follows. Npc is the frequency polygon of any normal distribution. The mean is directly in the middle of the distribution.
An introduction to the normal distribution youtube. This article throws light upon the fifteen main principles of normal probability curve. Normal probability curve,is bell shaped curve and a graph representing a distribution of scores. In this video lecture, we will discuss what is probability density function pdf. Moreover, gaussian distributions have some unique properties that are valuable. The distribution has a mound in the middle, with tails going down to the left and right. It is an ideal symmetrical frequency curve and is supposed to be based on the data of a population. When any body of observations conforms to this mathematical form, it can be represented by a bell shaped curve with definite characteristics. If a coin is tossed unbiased it will fall either head h or tail t. Suppose that the total area under the curve is defined to be 1. A normal distribution is sometimes informally called a bell curve. Properties of normal probability curve for this curve mean, median and mode are the same at the centre of the curve. The curve is symmetrical about the mean m, bellshaped and the two tails on the right and left sides of the mean extends to the infinity.
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