In a dataset, if there are no repeating numbers, how is the mode characterized?

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In a dataset where all the numbers are unique and there are no repeating numbers, the mode, which represents the most frequently occurring value, cannot be defined. The mode specifically requires at least one number to appear more than once in order to be determined. Since each number in this situation occurs exactly once, there is no single value that qualifies as the most frequent. Therefore, the mode is characterized as undefined because it simply does not exist in a dataset lacking repetition.

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