The standard deviation decreases as the sample size increases.
The degree of data dispersion from the mean is measured by the standard deviation. Data are grouped around the mean when the standard deviation is low, and are more dispersed when the standard deviation is high.
A region containing 68 percent of the total number of data points would be defined by one standard deviation, or one sigma, shown above or below the average value on that normal distribution curve. Ninety-five percent of the data would be covered by two sigmas above or below, whereas three sigmas would cover 99.7 percent.
The standard deviation is significant because it reveals the degree of dispersion of the values in a particular dataset. Every time we examine a dataset, we look for the following metrics: the dataset's geographic center.
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