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The standard deviation is always positive or zero. The standard deviation provides a measure of the overall variation in a data set. The standard deviation provides a numerical measure of the overall amount of variation in a data set, and can be used to determine whether a particular data value is close to or far from the mean. The standard deviation is a number that measures how far data values are from their mean. The most common measure of variation, or spread, is the standard deviation. In some data sets, the data values are concentrated closely near the mean in other data sets, the data values are more widely spread out from the mean.
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