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What is the relationship among the mean, median and mode in a symmetric distribution?Select one:A. Mean is always the smallest valueB. Mode is the largest valueC. All equalD. Mean is always the largest value

Question

What is the relationship among the mean, median and mode in a symmetric distribution?Select one:A. Mean is always the smallest valueB. Mode is the largest valueC. All equalD. Mean is always the largest value

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Solution

C. All equal

In a symmetric distribution, the mean, median, and mode are all equal. This is because symmetry in a distribution implies that the data is evenly distributed around the center, so the average (mean), middle value (median), and most frequently occurring value (mode) are all the same.

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