explain the relationship between variance and standard deviation
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.
Both standard deviation and variance are derived from the mean
of a given data set. If the mean is simply the average of all data
points, the variance measures the average degree to which each
point differs from the mean. The greater the variance, the larger
the overall data range.
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