What best defines an algorithm?

• A. A random sequence of operations
• B. A graphical representation of data
• C. A step-by-step procedure for solving a problem
• D. A type of mathematical equation

Answer: (C)

An algorithm is best defined as a step-by-step procedure for solving a problem. This definition captures the essence of what algorithms do—they provide a clear, systematic method for addressing specific tasks or challenges, whether in mathematics, computer science, or other fields. Each step in an algorithm is clearly defined, ensuring that anyone following it can achieve the desired outcome consistently.

For example, in computer programming, an algorithm can guide the process of sorting a list of numbers or finding the shortest path in a network. The structured approach ensures that all necessary steps are followed logically, which is crucial for effective problem-solving.

The other choices do not accurately describe an algorithm. A random sequence of operations lacks the organization and purpose characteristic of an algorithm. A graphical representation of data pertains to how information is visually displayed, while a mathematical equation is a statement of equality containing numbers and variables; neither term captures the procedural nature of an algorithm.