The measurement of spread in a data set is the variance, which equals the standard deviation squared.

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Multiple Choice

The measurement of spread in a data set is the variance, which equals the standard deviation squared.

Explanation:
Spread in a data set is captured by variance, which is defined as the average of squared deviations from the mean. The standard deviation is the square root of the variance, so the variance is the standard deviation squared. Therefore the statement is correct: the measurement of spread is the variance, which equals the standard deviation squared. The mean describes center, not spread, and the mode is the most frequent value, which isn’t a measure of spread.

Spread in a data set is captured by variance, which is defined as the average of squared deviations from the mean. The standard deviation is the square root of the variance, so the variance is the standard deviation squared. Therefore the statement is correct: the measurement of spread is the variance, which equals the standard deviation squared. The mean describes center, not spread, and the mode is the most frequent value, which isn’t a measure of spread.

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