The mode is defined as the value that appears most frequently in a dataset. In statistical terms, it represents the number(s) with the highest frequency.
When it comes to a dataset where all the numbers are different, understanding the mode can be a bit perplexing. Since each number occurs only once, there is no number that appears more frequently than the others. Consequently, in this scenario, we say that there is no mode.
To illustrate this with an example, consider the following set of numbers: 3, 7, 1, 9, 5. Each of these numbers is unique. As a result, there’s no single number that appears more than once, and therefore, we conclude that this set has no mode.
In summary, if all values in a dataset are unique, then the mode of that dataset is undefined or nonexistent.