STEM Excellence Series: Empowering the Next Generation

DATA CLUSTERING

Data Clustering

Definition Of Data Clustering

Data Clustering is the classification of a data set into a group of numbers, where members of each group surround a particular number.

More About Data Clustering

In two-way clustering, data is clustered by using its properties and is represented in a matrix.

Example of Data Clustering

The ages of 6 people participating in a swimming competition are 39, 34, 35, 34, 33, and 27. In this data, the cluster of ages 34, 35, 34, and 33 are close to the age 34.

Video Examples: Data Mining, Classification, Clustering, Association Rules, Regression,
 

Solved Example on Data Clustering

Ques: Identify the cluster in the given data set around the number 75. 
56, 61, 71, 75, 77, 74, 76, 75, 75, and 60

Choices:

A. 75, 77, 74, 76, 75, and 75
B. 71, 61, and 60 
C. 60 and 56 
D. 77 and 56 
Correct Answer: A

Solution:

Step 1: The numbers which are close around a particular number in a given set of data are called cluster.
Step 2: In the data set, the numbers 77, 74, and 76 are close around the number 75.
Step 3: So, 75, 77, 74, 76, 75, and 75 from the cluster of the number 75.

Quick Summary

  • Data clustering groups similar data points together.
  • Two-way clustering involves clustering data based on its properties in a matrix.
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🍎 Teacher Insights

Emphasize the importance of data preprocessing and algorithm selection. Use real-world examples to illustrate the applications of clustering.

🎓 Prerequisites

  • Basic Statistics
  • Linear Algebra
  • Programming Fundamentals

Check Your Knowledge

Q1: Which of the following is a characteristic of data clustering?

Q2: In the data set: 56, 61, 71, 75, 77, 74, 76, 75, 75, and 60. Which numbers cluster around 75?

Frequently Asked Questions

Q: What is the purpose of data clustering?
A: To discover natural groupings within data, allowing for better understanding and decision-making.

Q: How do I choose the right clustering algorithm?
A: The choice of algorithm depends on the data's characteristics and the desired outcome. Consider factors like data size, shape, and the need for overlapping clusters.

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