To answer this question, you need to understand the concept of algorithmic complexity and the difference between average case and worst case analysis.
Option A) Much more complicated to analyze than that of the worst case - This option is correct because analyzing the average case complexity of an algorithm can often be more challenging than analyzing the worst case complexity. The average case analysis involves considering the statistical distribution of inputs and determining the expected performance of the algorithm for typical inputs. This requires a deeper understanding of the algorithm and its behavior under various input scenarios.
Option B) Much more simpler to analyze than that of the worst case - This option is incorrect because, as mentioned earlier, average case analysis is generally more complex than worst case analysis.
Option C) Sometimes more complicated and some other times simpler than that of the worst case - This option is incorrect because the average case analysis is consistently more complicated than worst case analysis. It is not a matter of sometimes being more complicated and sometimes being simpler.
Option D) None of the above - This option is incorrect because option A is the correct answer.
Therefore, the correct answer is option A. The complexity of the average case of an algorithm is much more complicated to analyze than that of the worst case.