Which sorting algorithm has the best average-case time complexity?

₹0.0

Question: Which sorting algorithm has the best average-case time complexity?

Options:

Correct Answer: Merge Sort

Solution:

Merge Sort has an average-case time complexity of O(n log n), which is better than the average-case complexities of the other options.

Which sorting algorithm has the best average-case time complexity?

Which sorting algorithm has the best average-case time complexity?

Step 1: Understand what sorting algorithms are. They are methods used to arrange data in a specific order, like from smallest to largest.
Step 2: Learn about time complexity. This tells us how the time to sort data changes as the amount of data increases.
Step 3: Know that 'average-case time complexity' means how long an algorithm takes to sort data on average, not the best or worst case.
Step 4: Identify some common sorting algorithms: Bubble Sort, Quick Sort, and Merge Sort.
Step 5: Check the average-case time complexities of these algorithms: Bubble Sort is O(n^2), Quick Sort is O(n log n), and Merge Sort is O(n log n).
Step 6: Compare the average-case time complexities. O(n log n) is better than O(n^2).
Step 7: Conclude that Merge Sort and Quick Sort both have the best average-case time complexity of O(n log n), but Merge Sort is often preferred for its stability.

No concepts available.