00:02
For this question, which of the statistics is unaffected by outliers? so we have mean, we have iqr, we have standard deviation, and we have the range.
00:19
So which of these statistics is unaffected by outliers, right? so outliers means, let's say we have a set of data, right, and we have most of the data right here, and then we have some outlier that's really far away over here.
00:32
So, and that's compared to data that would just look normal like this.
00:39
So in this case, when we compare the two means of this, right, of these two data, right? the mean of this normal looking data will be close to the center, approximately, not exactly center, but close to the center.
00:53
We have the mean of this with the outlier.
00:55
The mean is going to be shifted from wherever it is right here, it doesn't matter.
00:59
It's going to be shifted this way on this graph.
01:01
So the mean will be closer to it like right there.
01:03
So mean definitely just changes when there's outliers.
01:07
And that's because here, so we have the same data as this compared to this, right? but in this graph right here, we have one or two extra points over here, which bring the average up.
01:21
The iqr, however, is different.
01:23
We'll come back to that.
01:24
That's quartile -based.
01:30
And then next we have standard deviation.
01:35
Standard deviation works very much the same way.
01:38
Standard deviation is the difference of each point from the mean.
01:44
And we know that if the mean is shifted between the two, that means the standard deviation will also be shifted between the two...