00:01
So in terms of the motivation, so to speak here, i'm guessing that means we're sort of looking for the logic of the arithmetic mean formula.
00:10
So let's first consider two values, just x1 and x2.
00:18
Let's say that x1 is 10 and x2 is 15 just to make these sort of concrete.
00:26
Let's say we want the middle of those values.
00:32
We want to meet in the middle.
00:34
So how do we find the middle? what really is the middle? well, a middle would be something that is equally distant from x1 and x2.
00:55
So we would expect that x1 minus, i'm just going to call it m, must be equal to x2 minus m.
01:08
So rearranging this, we could put all of our m's on one side.
01:14
Oh, pardon me, i need to be a little bit careful here...