The relation between the standard deviation and the variability of the data
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The standard deviation is the square root of the variance. The standard deviation is expressed in the same units as the mean is, whereas the variance is expressed in squared units, but for looking at a distribution, you can use either just so long as you are clear about what you are using
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There are many ways of describing the variability in some data set. ... The standard deviation is usually presented in conjunction with the mean and is measured in the same units.
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