Patient Experience Practice Test

Which statement describes standard deviation?

The middle value in a list of numbers The number that is repeated the most; the most frequent value A measure of how spread out numbers are. The formula: the square root of the variance; measures variability and separates normal variation from true variation; the average deviation from the mean. The lower the number, the less the variation, the closer to the mean The average of the squared differences from the Mean; the average squared deviation from the mean. It measures the dispersion of the data set.

Correct Answer:

A measure of how spread out numbers are. The formula: the square root of the variance; measures variability and separates normal variation from true variation; the average deviation from the mean. The lower the number, the less the variation, the closer to the mean

Explanation:

Standard deviation is a measure of how spread out the numbers in a data set are. It is defined as the square root of the variance, which is the average of the squared deviations from the mean. Because it uses squared deviations, it reflects dispersion in the same units as the data and grows as data become more spread out. A smaller standard deviation means the values cluster tightly around the mean, while a larger one indicates more variability. The other statements describe different concepts: the middle value is the median, the most frequent value is the mode, and the average of the squared differences from the mean is the variance, not the standard deviation.

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