Arrays in JavaScript

Explain the concept of arrays in JavaScript, including their declaration, indexing, and common methods such as push, pop, and splice. Provide at least 5 examples demonstrating the use of arrays with different data types (e.g., numbers, strings, objects) and scenarios (e.g., sorting, filtering, mapping). Ensure the response includes a clear structure, code snippets, and concise explanations. The output should be a comprehensive guide to using arrays in JavaScript, suitable for beginners and experienced developers alike.