Central Tendency: Mode of Different Numbers

When all the numbers are different, all of them serve as modes which means there are multiple modes in this set of data.

What's the Mode when All Numbers are Different?

Let's say you have a data set: $$1,2,3,4,5,6,7,8,9,10$$

Each number in the above data set occurs only once, so, you can easily find the median and mean, but what about the mode?

Well, since each element occurs the same number of times (once), then that means each element is a mode!

In real life, you will rarely come upon data where there are single occurrences for each element. However, if you do have data like what is shown above, you can categorize it into bins, such as Numbers 1<x<4, Numbers 4<x<6, Numbers 6<x<10, and find a mode that way! Using that method for our example above, we would get a mode of Numbers 6<x<10, which includes $6,7,8,9$ and $10$.