The mode is the most common answers in a data set. Sometimes there can be more than one mode so if there is a single mode it is unique. It there are two it is bimodal.
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No. Some distributions and some sets of observations can have more than one modes. In such cases there is no unique mode.
The mode need not be unique. Furthermore, it may not exist.
Take your dataArrange it so that you can count or tally the occurrence of each unique data itemFinalise your tally - the unique data item with the highest count is the mode.Sometimes you may find that you have more than one mode - i.e. there are two or more unique data items that have the same highest tally
none of the data repeat (they are all unique) so there is no mode.
I wouldn't, I would just say that there is no unique mode. While it is true that if all numbers have a frequency of 1 then every value is the mode, however this provides no analytical insight and thus it is pointless to say that all values are the mode. However it would be wise to note that if there is no mode then there is a uniform distribution which would indicate that all values are equally likely.