00:01
So we want to see which of these is unaffected by outliers, or if any of them are affected by outliers, unaffected by outliers, we need to take a look at what they actually, what we're computing in each one.
00:13
So i think the easiest one to first understand is the mean, right? the mean is the sum of all of the numbers divided by the amount of numbers i have, right? it's the average.
00:23
And you probably expect that if i have a very, very large number, this is going to get skewed.
00:28
It's going to get affected a lot if i have.
00:30
Let's say numbers one, two, three, four, five, six, seven, and then a million, you know, the average is going to be, you know, around a hundred thousand.
00:37
And that's not really representative of the center.
00:39
Well, that is a representation of the center, but it's not really, really accurate.
00:44
And so we would say that this is affected.
00:46
So the mean is affected, definitely.
00:48
The range.
00:50
Well, the max minus the min.
00:52
If i have a much higher maximum or much higher, much lower minimum, then this number is going to get affected pretty much.
00:57
So this would get, you know, a lot bigger.
01:02
And so that's affected.
01:04
Now we have to kind of consider standard deviation in the third quartile.
01:07
Let's take a look at the standard deviation.
01:08
In the standard deviation formula, we're computing here how far away we are from the mean and adding this up, basically.
01:17
So it's dependent on the mean...