How do you calculate the standard deviation of a data set, and what does it explain about the distribution of the data?

To calculate the standard deviation of a data set, first find the mean (average) of the data. Then, subtract the mean from each data point and square the result. Find the average of these squared differences, and finally, take the square root of this average. This value represents the standard deviation. It measures the amount of variation or dispersion in a data set, indicating how spread out the data points are around the mean. A low standard deviation means data points are close to the mean, while a high standard deviation indicates a wide range of values.

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