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# Know it All About the K-Means Clustering Algorithm

Let’s get our heads around clustering first, then dive into the technique. Clustering is the method of discovering inherent data groups using automated means. The human visual system is very efficient in quickly and easily constructing discrete clusters whenever information is supplied that may be represented on a two- or three-dimensional plane. Machines have a little more trouble with this, however. This issue requires clustering strategies for resolution. In addition, this is expanded to higher dimensions to group information that is invisible to the human eye. Let’s move on to the k-means clustering now that it’s out of the way.

### First, choose on a desired cluster size (k).

The number of clusters whose existence has to be verified is given by the letter k in k-means clustering. We set k = 3 since we anticipated there would be three distinct clusters.

## K is your option. Points Picked At Random

The initial step in cluster detection is to choose three locations at random (which need not be the same as our data points). The centres, or centroids of K-Means Clustering Algorithm, of the clusters we’re about to form will be located at the following coordinates:

## Prepare k Groups.

Distances from each data point to the three cluster centres will be calculated to kick off the clustering process. The group that is physically closer to the objective is awarded the points. Here’s an example of how the distances will look for a certain point:

Just by looking at it, we can see that the point is closest to the green cluster’s centroid and hence belongs to that group. In a two-dimensional plane, the distance between any two points may be calculated using the following equation:

Using the previously-mentioned process on the remaining points and the aforementioned formula, we get clusters with the following configurations:

## Determine a brand-new centroid for every cluster.

After identifying the three clusters, we can next calculate the new cluster centres. For instance, if we know the x-coordinates of the three points that make up the blue cluster—x1, x2, and x3—we may calculate its centroid’s location. Each of the three blue specks that make up the cluster is located at y=y1, y2, and y3. The total number of coordinates is multiplied by three before being added up since there are three data points included inside the blue cluster. Analyse the Performance of Each ClusterHere are the locations of the centres of the clusters that were given the colours pink and green.

K-means assesses the quality of the data by measuring the dispersion between clusters since it cannot witness the grouping in the same way that people do. The k-means clustering technique’s main objective is to form clusters in a manner that minimises the dissimilarities between them.

## Go back and do Steps 3-5 again.

Once we have the data on the variance and the prior clusters, we may start again. In this iteration, however, we make use of the previously calculated centroids to perform the following: generate three more clusters, recalculate the new clusters’ centres, and get the aggregate sum of the variance present inside all of the clusters.