why standard deviation is the best measure of spread and how?

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why standard deviation is the best measure of spread and how?

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  1. Answer:

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    Step-by-step explanation:

    Standard deviation measures the spread of a data distribution. The more spread out a data distribution is, the greater its standard deviation. Interestingly, standard deviation cannot be negative. A standard deviation close to 0 indicates that the data points tend to be close to the mean (shown by the dotted line).

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  2. Answer:

    The most common measure of variation, or spread, is the standard deviation. … The standard deviation provides a numerical measure of the overall amount of variation in a data set, and can be used to determine whether a particular data value is close to or far from the mean.

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