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Which of the following is a consequence of increasing variability in a dataset?

ID: 3022843 • Letter: W

Question

Which of the following is a consequence of increasing variability in a dataset?

A. The distance (difference) from one score to another tends to increase, and a single score tends to provide a more accurate representation of the entire distribution. B. The distance from one score to another tends to increase, and a single score tends to provide a less accurate representation of the entire distribution. C. The distance from one score to another tends to decrease, and a single score tends to provide a more accurate representation of the entire distribution. D. The distance from one score to another tends to decrease, and a single score tends to provide a less accurate representation of the entire distribution.

Explanation / Answer

B. The distance from one score to another tends to increase, and a single score tends to provide a less accurate representation of the entire distribution. [ANSWER]

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By definition, the distances of points will really increase. Now, as the distances of points increase, then each point will in its own right give little information about the other points.