Stout General Knowledge Practice Test

A data concept: Which statement best defines standard deviation?

A measure of the center of a data set A measure of the most frequent value A measure of spread or dispersion around the mean A measure of total sum

Correct Answer:

A measure of spread or dispersion around the mean

Explanation:

Standard deviation describes how spread out data are around the average. It measures dispersion, not location. When values cluster near the mean, the standard deviation is small; when they spread out, it grows larger. This differs from a measure of center like the mean, and it isn’t the most frequent value (mode) or the total sum. The standard deviation is computed from deviations from the mean, typically by squaring those deviations, averaging, then taking the square root, yielding a value in the same units as the data that conveys typical distance from the mean.

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