The mode is the average that is probably the easiest to find but surprisingly, also the one that people get wrong the most.
This is because, in certain situations, it doesn't exist.
What is the mode:
The definition of mode is 'The value that has the highest frequency'
In reality, for a small data set, all we have to do is to find the number that is in the list most often.
How do we find the mode?
Simple, just count up the times something appears in the list, if it's there more than anything else, it's the mode.
Example 1: Find the mode for 2 1 4 2 5 5 6 8 5 5 7
There is one number that appears more than anything else.
The mode is 5
Example 2: Find the mode for 4 5 8 7 9 1 6 2 3
In this list, there isn't a single number that appears more than anything else
This means this data has no mode
Example 3: Find the modes for 4 5 9 9 7 6 4 4 2 9 5
In this data, there are 3 fours and 3 nines.
Technically, this means the data doesn't have a mode as one value doesn't appear more than anything else.
What is normally said is that the mode is both 4 and 9. This is called Bimodal data.