A ________ standard deviation represents an overall wide spread of data points while a ________ standard deviation represents a closely clustered set of points.

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A   larger   standard deviation represents an overall wide spread of data points while a   smaller   standard deviation represents a closely clustered set of points.

Keep in mind the standard deviation cannot be negative. A standard deviation of 0 means that every data value is the same number; hence it is the most clustered set possible. There is no upper limit on how big the standard deviation can be.

If needed, replace "larger" with "large". And if needed, replace "smaller" with "small". I think it will depend on how your teacher wants you to word it. In all honesty, I'm not very good with grammar.

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