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The area under the curve lying between the mean and any given distance from the mean is measured in standard deviation units.
Define normal distribution.
The theoretical curve that shows the probability that an experiment will produce a particular result in statistics. The symmetrical and bell-shaped curve shows that whereas trials frequently provide results that are near to the average, they can also vary significantly from it on occasion.
The standard normal distribution is a type of normal distribution that has a mean of 0 and a standard deviation of 1. The standard deviation shows how far a given measurement deviates from the mean, and the standard normal distribution is centered at zero. Sixty-eight percent of the observations for the normal distribution are within one standard deviation of the mean, ninety-five percent are within two standard deviations of the mean, and 99 percent of the data are three standard deviations or less from the mean.
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