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What is a statistic that measures the width of dispersion ("looseness" or "tightness") of the population data about its mean?

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Where do I find the definition of what is called the distribution of a data population?
I need to find the statistic that measures the width of dispersion ("looseness" or "tightness") of the population data about its mean.

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A statistic that measures the width of dispersion ("looseness" or "tightness") of the population data about its mean is discussed. The solution is detailed and well presented. The response was given a rating of "5/5" by the student who originally posted the question.

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The parameter which indicates the tightness or looseness of the spread of data about the mean is called the 'Standard Deviation'. It is the square root of the variance, which is simply the sum of squares of deviation of all data points with respect to the mean, divided by the number of data points.
The standard deviation is a measure of the degree of dispersion of the data from the mean value. Stated another way, the standard deviation is simply the "average" or "expected" variation around an average (i.e., square all ...

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