What can be inferred from the five-number summary of credit hours for a specific group of students?

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The correct inference that can be drawn from the five-number summary regarding credit hours for a specific group of students is that the data has no outliers. The five-number summary consists of the minimum, first quartile, median, third quartile, and maximum, which provides a comprehensive view of the data distribution.

When analyzing outliers, the interquartile range (IQR) is crucial. Outliers are typically defined as values that lie beyond 1.5 times the IQR above the third quartile or below the first quartile. If the five-number summary does not indicate any extreme values beyond these thresholds, it suggests that there are no outliers in the data set. Therefore, if the summary reflects this condition, it confirms the absence of outliers.

Other options address aspects of data distribution and variability, but they do not necessarily follow from the five-number summary without additional context. For example, the relationship between median and mean, skewness, or variance cannot be conclusively determined from the five-number summary alone without examining the actual data distribution. Thus, the conclusion about outliers is the most straightforward inference supported by the five-number summary.

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