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How Decision Tree Algorithms Work in Machine Learning: A Step-by-Step Explanation

This blog explains the decision tree algorithm in machine learning, breaking down its structure, working, and key concepts like the Gini Index. It also provides a practical example to help you understand how decision trees make predictions.
Apr 11, 2025
12 min read

In the world of machine learning, where complex models and deep learning networks often take the spotlight, sometimes the most effective solutions are also the simplest. One such classic and beginner-friendly model is the Decision Tree algorithm in machine learning.

Decision trees mimic human decision-making—step-by-step, asking the right questions to narrow down to an answer. They are easy to understand, interpret, and implement, making them a favorite for both beginners and experienced data scientists.

In this article, we’ll walk you through exactly how decision tree algorithms work in machine learning, one step at a time. We’ll also explore important concepts like the Gini index in machine learning, and build a decision tree machine learning example to make things crystal clear.

Whether you're preparing for an interview or brushing up on your ML basics, this guide will give you the practical and intuitive understanding you need.

Also Read: Random Forest: Why Ensemble Learning Outperforms Individual Models

Understanding the Decision Tree Algorithm in Machine Learning

At its core, a decision tree is a flowchart-like structure used for making decisions. In machine learning, it's a supervised learning algorithm used for both classification and regression tasks. The model works by learning simple decision rules inferred from the features of the data.

Let’s break down its components to understand how it operates:

Basic Structure of a Decision Tree

  • Root Node:
    This is the first node of the tree and represents the feature that best splits the dataset. It’s the starting point for decision-making.

  • Internal Nodes:
    These nodes represent the decision points based on feature values. Each internal node asks a question about a specific feature (e.g., Is age < 30?).

  • Branches:
    Branches emerge from internal nodes, representing the outcome of a decision (e.g., Yes or No, True or False).

  • Leaf Nodes (Terminal Nodes):
    These nodes represent the final output or prediction—either a class label in classification or a continuous value in regression.

How It Works Conceptually

The decision tree splits the dataset based on the values of input features. The goal is to segment the data in such a way that each resulting subset (at the leaf level) is as “pure” as possible—meaning it contains data points mostly belonging to a single class.

This “purity” is measured using mathematical criteria like Gini Index or Information Gain, which we’ll cover in detail soon.

Why Use Decision Trees?

  • They're intuitive and mimic human decision-making

  • Easy to visualize and explain to non-technical stakeholders

  • No need for feature scaling or normalization

  • Can handle both numerical and categorical data

Also Read: A Beginner's Guide to Linear Regression: Understanding the Fundamentals

Step-by-Step Working of Decision Tree Algorithm

Understanding the logic behind how a decision tree is built will give you the confidence to implement and tweak it for your own datasets. Let’s walk through the process in five key steps:

Step 1: Selecting the Root Node

The very first step is to identify the best feature to place at the top of the tree—the root node.

How do we decide what’s “best”?
We evaluate each feature using a splitting criterion like Gini Index or Information Gain. The goal is to choose the feature that best separates the data into distinct classes or values. The Gini Index machine learning is a popular metric used to determine the best feature for splitting data in decision trees. 

Step 2: Calculating the Splitting Criteria

Once we’ve chosen a feature, we calculate how well it splits the data. This is done using impurity measures like:

  • Gini Index: Common in classification tasks (we'll explore this in the next section)

  • Information Gain (based on entropy)

  • Variance Reduction (used for regression trees)

The lower the impurity, the better the split.

Step 3: Splitting the Dataset

After identifying the best feature to split on, we divide the dataset into subsets based on that feature’s values.

For example:

  • If we split on “Weather”, we create subsets for Sunny, Rainy, and Overcast.

  • For numerical values, we split using thresholds (e.g., Age < 30 vs. Age ≥ 30).

Step 4: Recursively Building the Tree

Each subset from the previous split becomes the input for a new node. The algorithm repeats Steps 1 to 3 on each subset, choosing the best feature, calculating impurity, and splitting again.

This recursive process continues until a stopping condition is met.

Step 5: Applying Stopping Conditions

To prevent the tree from growing endlessly or overfitting the data, we define stopping rules like:

  • All data in a node belongs to the same class

  • Maximum tree depth is reached

  • Minimum number of samples in a node (e.g., min_samples_split)

  • No further gain from splitting (impurity is already minimal)

Once any of these are met, the algorithm stops growing that branch and labels the node as a leaf with a final prediction.

Also Read: Support Vector Machines (SVM): From Hyperplanes to Kernel Tricks

Understanding the Gini Index in Machine Learning

When building a decision tree, choosing the right feature to split the data is crucial. One of the most popular criteria for this is the Gini Index—a measure of impurity used in classification tasks.

Let’s explore what it means and how it works.

What is the Gini Index?

The Gini Index measures how often a randomly chosen element from the set would be incorrectly labeled if it were randomly labeled according to the distribution of labels in the set.

  • It ranges between 0 (perfectly pure) and 1 (completely impure).

  • Lower Gini Index = Better split.

Gini impurity formula for decision tree classification

Example: Calculating Gini Index

Suppose you have a node with 10 samples:

  • 6 belong to class A

  • 4 belong to class Bx$

Gini impurity calculation example for two classes

A lower Gini Index indicates a more “pure” node (i.e., mostly containing one class). A lower Gini Index machine learning value signifies a more effective and pure split, improving the model's predictive accuracy. So, while building the tree, the algorithm looks for the feature split that results in the lowest weighted average Gini Index of child nodes. 

Why Use Gini Index?

  • It's fast to compute, making it ideal for large datasets.

  • Often yields similar results to Information Gain but with better performance.

  • It's the default splitting criterion used in scikit-learn's DecisionTreeClassifier.

Decision Tree Machine Learning Example

A simple decision tree machine learning example can involve predicting whether a customer will purchase a product based on age, income, and student status. This decision tree machine learning example helps visualize how data is split at each node to reach a final decision.

Problem Statement

Imagine we want to predict whether a person will buy a laptop based on the following dataset:

Decision tree data: age, income, student status, laptop purchase

Step-by-Step Tree Building (Simplified)

Choose the root node:
Calculate the Gini Index for all features and pick the one with the lowest Gini after splitting.

Suppose splitting on Student gives the lowest Gini. We make that the root:

Simple decision tree split based on "Student?" feature
  1. Split the data:


    • If Student = No → most examples are "No" for buying → leaf = No

    • If Student = Yes → more people buy → move further to split using another feature (say, Income)

 

  1. Continue until leaf nodes are pure or meet stopping conditions.
Partial decision tree: Student? then Income for laptop buying

Final Tree (Illustrative)

Decision tree fragment: Student? then Income for classification.

This simplified decision tree helps us predict whether a person will buy a laptop based on just a few attributes. It also demonstrates how splitting based on the Gini Index in machine learning leads to a clean and interpretable decision path.

Also Read: End-to-End Guide to K-Means Clustering in Python: From Preprocessing to Visualization

Conclusion

The decision tree algorithm in machine learning stands out as one of the most intuitive and powerful tools available for solving both classification and regression problems. Its tree-like structure closely mimics human decision-making, making it easy to interpret and explain to both technical and non-technical audiences. By systematically breaking down datasets into smaller subsets based on key feature values, decision trees create a flow of “if-then” rules that lead to accurate predictions.

A key aspect of their effectiveness lies in the use of splitting criteria like the Gini Index in machine learning, which ensures that each split increases the homogeneity of resulting nodes. As demonstrated in our decision tree machine learning example, the algorithm works step by step—from choosing the best feature using impurity measures to recursively building branches until final predictions are made. While they are prone to overfitting if not properly tuned, decision trees are the foundation for more advanced ensemble methods like Random Forest and Gradient Boosting, which significantly improve predictive performance.

With their balance of simplicity, flexibility, and effectiveness, decision trees remain a crucial component of every data scientist's toolbox, especially when model interpretability is key.

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