What does a symmetric distribution indicate about the data values?

Prepare for ASU's STP226 Elements of Statistics Exam 1. Enhance your statistical skills with multiple choice questions, detailed explanations, and practice materials. Master statistical concepts effectively!

A symmetric distribution indicates that the data values are evenly distributed around the mean. In a symmetric distribution, the left half of the distribution is a mirror image of the right half, meaning that data values are equally likely to fall on both sides of the center. This property suggests that the majority of the data points cluster around the mean, reinforcing the idea of balance in the distribution.

When analyzing the other options, the presence of outliers is not directly indicated by symmetry; they may affect the distribution in such a way that it becomes asymmetric. While symmetric distributions can indeed be unimodal, this alone does not fully capture the nature of the symmetry. Although a distribution might have a single peak, simply being symmetric does not inherently imply that aspect without further context. Therefore, the choice that best captures the meaning of symmetry in distributions is that the data is evenly distributed.

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