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Answer: The area under the part of a normal curve that lies within standard deviations of the mean is approximately . The mean, median, and mode are located at the center of the distribution. The area under the part of a normal curve that lies within standard deviations of the mean is approximately . The area under the part of a normal curve that lies within standard deviation of the mean is approximately . The normal distribution curve is symmetric about the standard deviation. A normal distribution curve is bell shaped.
Step-by-step explanation:
The normal distribution refers to continuous variables as a continuous probability density function. It is used as a first approximation to describe random real value variables that tend to be grouped around an average value.
The normal distribution is followed either accurately or with a close approximation by most continuous phenomena.
Many discontinuous probability distributions can be accessed through the normal distribution. For example, many population characteristics, such as height, weight, scoring in a competition, etc.
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