What’s the difference between Mean, Mode, and Median? Which one is the Average?
I think most of the confusion around this is more about the terminology rather than the mathematics involved.
The first source of confusion, I believe, arises out of the term ‘Average’. To most people ‘Average’ means adding up a group of numbers to find the total and then dividing that by how many you have in the group. For example:
Unfortunately, in mathematics, the term ‘Average’ means something a little different. It’s used to refer to any of a number of different methods of describing a typical value from the group.
The second source of confusion is that one of those different methods is exactly that method above that most people refer to as the ‘Average’. In mathematics, however, it is called the Mean (or Arithmetic Mean to be absolutely precise).
So the thing you normally think of as the average is actually just an average and is called the Mean.
It gets simpler from here, I promise 
The Mode and Median are also types of averages. They are different methods of describing a typical value from a group of numbers.
The Mode is the result that is most common. So from the example above, the Mode would be 8 because it appears twice – all the other numbers only appear once.
The Median is the result that is in the middle once you’ve ordered the numbers from lowest to highest. In the example above, the Median would be 7 because the 7 is the result that is in the very middle of the ordered numbers.
Hope that helps.