00:01
For this exercise, we are supposed to order these three histograms by standard deviation with the lowest standard deviation first and the highest standard deviation last.
00:13
Now recall that the standard deviation can be viewed as the typical distance from the mean that the data lies.
00:22
So it's sort of the average deviation from the mean.
00:25
And all of these histograms are symmetrical, so therefore for all of them, the mean is the is the middle bar.
00:39
So if we try to think of just looking at these visually, on average, how far is the rest of the data from the mean? for a, we can say that most of the data is close to the mean, because the biggest bar or the tallest bar coincides with the mean.
01:02
So a has a small standard deviation.
01:05
So this one comes in third.
01:09
B, on the other hand, has most of its data out on the outsides of the distribution, and less data in the mean of the distribution.
01:22
So that means much of this distribution lies far from the mean.
01:29
So b is associated with a higher standard deviation.
01:32
This one comes in first place...