The normal distribution is a theoretical distribution of values for a population and has a precise mathematical definition. Data values that are a sample from a normal distribution are said to be "normally distributed." The standard normal distribution is a normal distribution of standardized values called z-scores. A z-score is measured in units of the standard deviation. For example, if the mean of a normal distribution is five and the standard deviation is two, the value 11 is three standard deviations above (or to the right of) the mean. The Normal Distribution is used to analyze data when there is an equal chance for the data to be above and below the average value of the continuous data. It is named after the famous mathematician and physicist Carl Friedrich Gauss. The 5 common properties of Normal Distribution are: Normal Distribution Curve is symmetric about the mean. Normal Distributions. The normal distribution is the most important and most widely used distribution in statistics. It is sometimes called the "bell curve," although the tonal qualities of such a bell would be less than pleasing. It is also called the "Gaussian curve" of Gaussian distribution after the mathematician Karl Friedrich Gauss. .

what is normal distribution used for