6.2.2. Understanding Average Case Analysis

Try these first

1. 1.

   What does 'input size' refer to in algorithm analysis?

   Hint

   Think about how large the data set is.

2. 2.

   Define 'worst case' in relation to algorithms.

   Hint

   Consider scenarios that would take the most time.

3. 3.

   What does 'average case' in algorithm analysis represent?

   • The longest execution time
   • The typical performance
   • The fastest execution time

   Hint

   Think about what we usually expect in a typical operation.

4. 4.

   True or False: The worst-case performance analysis is always practical and applicable to real-world applications.

   • True
   • False

   Hint

   Consider how frequently worst-case scenarios happen.

5. 5.

   Design an algorithm for a small local café inventory check. Discuss how you would analyze both average and worst-case efficiencies.

   Hint

   Think about the patterns in customer behavior.

6. 6.

   Evaluate an online course registration system. Identify potential worst-case scenarios affecting performance and suggest improvements.

   Hint

   Consider peak times for registrations in a college setting.