1. The geometric center or point of balance of a shape, object, or system of points.
Usage: Common in mathematics, physics, and engineering
2. In statistics, the mean position of all data points in a dataset or cluster.
Usage: Used in data analysis and machine learning

Examples

• The centroid of a triangle is located where its three medians intersect.
• Engineers calculate the centroid of a beam to determine how weight is distributed.
• In clustering algorithms, each group is represented by its centroid.
• The centroid of a uniform disk lies at its geometric center.
• To find the centroid of an irregular shape, you can use integration or numerical methods.
• The centroid of a dataset helps identify the typical location of all observations.