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Average Deviation. In statistics, the absolute deviation of an element of a data set is the absolute difference between that element and a given point. The average deviation of a data set is the average of the absolute deviations. The average deviation is also called the average absolute deviation.
Standard deviations are scores around the mean of a distribution. It measures how much a set of scores is dispersed around an average measure of variability. Deviations around the mean can be calculated to express it as a variance or a standard deviation. normal distribution of data means that the numbers in the standard deviation's data set are close to the mean. One standard deviation from the mean (red area) on the x-axis usually accounts for about 68% of the data set.