to or at a source, origin, center, or the like: to follow a stream up to its source. 7. to or at a higher point or degree, as of rank, size, value, pitch, loudness, brightness, maturity, or speed: to move up in a firm; to pump up a tire; to turn a lantern up; Prices are going up.
What is 'Standard Deviation'. Standard deviation is a measure of the dispersion of a set of data from its mean. If the data points are further from the mean, there is higher deviation within the data set. Standard deviation is calculated as the square root of variance by determining the variation between each data point relative to the mean.
For example, in the population {4, 8}, the mean is 6 and the deviations from mean are {-2, 2}. Those deviations squared are {4, 4} the average of which (the variance) is 4. Therefore, the standard deviation is 2. In this case 100% of the values in the population are at one standard deviation of the mean. The standard deviation is the most common measure of statistical dispersion, measuring how widely spread the values in a data set are. If the data points are close to the mean, then the standard deviation is small.