And eventually we will get a little picture here called the

Dendrogram, and it shows us how the various points got clustered together.

So you can see on the very right side we, there's, there's points five and six

that are grouped together, and then in the middle there you got points ten and 11.

And so the farther down the tree.

In terms of the, the points

that are kind of further down the tree are the ones that got clustered first.

And the points that are farther up kind of got clustered later.

And and so you can see that there are the the kind of points five

and six when they got merged together, then

they got kind of clustered with point seven.

And then when points five, six and seven,

they all merged together into a single super point.

And they got merged with point 8 and etcetera.

And so one of the things

about the dendrogram that's produced by the clustering algorithm is that

it doesn't actually tell you how many clusters there are, right?

You'll notice that there's no specific label on the plot that

tells you there are two clusters or three clusters or whatever.

And so, what you have to do is you have to cut

this tree at a certain point to determine how many clusters there are.

And so, for example, if I were to cut

it at the point that's labeled on the y-axis, 2.0.

For example, if I were to draw a horizontal line.