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When data is grouped and each of the intervals or categories has the same relative frequency, then no mode can be calculated. This can happen when the dataset is very limited. If all numbers in a dataset are the same, then it is impossible to calculate a mode, no matter how the data is grouped. Sometimes the level of variation is so much less than our measurement capability that we can not detect variations in variables.

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Q: When does a set of numbers have no mode?
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