Normal Distribution and Standard Deviation Worksheets

What is Normal Distribution and Standard Deviation? The normal distribution is the statistical phenomenon that tells us how the values are distributed over a dataset. It is a symmetric distribution that reflects most of the values collected around the central peak and other values taper away from the mean in both directions. Like probability distribution, the parameters of the normal distribution determine the probabilities and shape. The normal distribution uses two parameters that define its shape and probabilities, namely, mean and standard deviation. Mean is defined as the central tendency of the distribution. Most of the probability values are collected around the mean. Standard deviation is the statistical measure that calculates the dispersion of the dataset in relation to the square root of its variance. It calculates the variation or deviation of each point from the mean value. If the dataset values are further away from the mean value, the higher is the standard deviation; thus, the dataset is more dispersed.