You'll use the **mall customers** dataset, which contains the following columns:

You should also follow these steps before clustering:
     
1.  **Load the data:** you'll use `pandas` to load the CSV file;
2.  **Select relevant features:** you'll focus on `'Annual Income (k$)'` and `'Spending Score (1-100)'` columns;
3.  **Data scaling (important for DBSCAN):** since DBSCAN uses distance calculations, it's crucial to scale features to have similar ranges. You can use `StandardScaler` for this purpose.

## Interpretation 

The code creates **5 clusters** in this case. It's important to analyze the resulting clusters to gain insights into **customer segmentation**. For example, you might find clusters representing: 

- High-income, high-spending customers;     

- High-income, low-spending customers;    

- Low-income, high-spending customers;     

- Low-income, low-spending customers; 

- Middle-income, middle-spending customers. 

Gain a solid understanding of cluster analysis, a key unsupervised learning technique for uncovering patterns in unlabeled data. Explore the essentials of K-Means, Hierarchical Clustering, DBSCAN, and GMMs, and get hands-on experience with real datasets to build confidence in applying clustering to real-world problems.

Dive into the fundamentals of clustering and discover how it differs from classification. Explore essential algorithms, tools, and libraries that power this unsupervised learning technique to uncover hidden patterns in data.

Gain a solid understanding of key preprocessing techniques that ensure effective clustering. Learn how to handle missing values, encode categorical features, normalize data, and choose appropriate distance measures and linkages to boost clustering accuracy.

Master the skills needed to apply K-Means clustering effectively. Learn how the algorithm works, determine the optimal number of clusters, and gain hands-on experience by implementing K-Means on both synthetic and real-world datasets.

Explore the essentials of hierarchical clustering and learn how to group data into meaningful clusters using dendrograms. Build confidence in identifying the optimal number of clusters and implementing the technique on both synthetic and real-world datasets.

Discover how DBSCAN excels at detecting clusters of varying shapes and handling noise in data. Learn the mechanics behind this density-based algorithm, how to assign points to clusters, and apply it to both synthetic and real datasets with confidence.

Gain a solid understanding of Gaussian Mixture Models and how they use probability to model complex cluster shapes. Learn the principles of Gaussian distribution, explore how GMMs work, and build confidence by applying them to both dummy and real-world data.

Cluster Analysis

Implementing on Real Dataset

Interpretation

Concluding Remarks