How do you find the mode of a data set without two of the same numbers?

If none of the numbers in a set of data are repeated you have two options:

Options 1: leave the data set as it is and call every value a mode. One instance when the mode is hardly a useful measure.

Option 2: Group the data and find the class interval with the highest frequency density. This would be the modal interval. Note, though, that the class intervals that you choose will influence the result.