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Standard deviation is a measure of the amount of variation in a set of numbers. It is calculated by finding the distance from the mean to each individual number in a dataset. This distance is then divided by the square root of the number of values.

The standard deviation is a measurement of how far data values deviate from the mean. The square root of the sum of squared variations from the mean divided by the size of the data set is the formula for standard deviation.

By calculating each data point's divergence from the mean, the standard deviation is calculated as the square root of variance. There is a bigger variance within the data set if the data points are further from the mean; consequently, the more spread out the data, the higher the standard deviation.

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