---
title: How do you define the number of clusters in a clustering algorithm?
description: Though the Clustering Algorithm is not specified, this question is mostly in reference to K-Means clustering where “K” defines the number of clusters. The objective of clustering is to group similar e
---

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# How do you define the number of clusters in a clustering algorithm?

Though the Clustering Algorithm is not specified, this question is mostly in reference to K-Means clustering where “K” defines the number of clusters. The objective of clustering is to group similar entities in a way that the entities within a group are similar to each other but the groups are different from each other.

For example, the following image shows three different groups.

![Clustering - Data Science Interview Questions - Edureka](https://d1jnx9ba8s6j9r.cloudfront.net/blog/wp-content/uploads/2017/08/Clustering-Data-Science-Interview-Questions-Edureka.png)

Within Sum of squares is generally used to explain the homogeneity within a cluster. If you plot WSS for a range of number of clusters, you will get the plot shown below.

![Clustering Plots - Data Science Interview Questions - Edureka](https://d1jnx9ba8s6j9r.cloudfront.net/blog/wp-content/uploads/2017/08/Clustering-Plots-Data-Science-Interview-Questions-Edureka.png)

- The Graph is generally known as Elbow Curve.
- Red circled point in above graph i.e. Number of Cluster =6 is the point after which you don’t see any decrement in WSS.
- This point is known as bending point and taken as K in K – Means.

This is the widely used approach but few data scientists also use Hierarchical clustering first to create dendograms and identify the distinct groups from there.

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