Hard Evaluate Hash Tables open_ended

LFU Cache (LC 460): what is different from LRU and what data structures does it use?

Evaluate — Tests ability to make judgments and justify decisions.

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This question is from the Hash Tables topic (Data Structures).

What is the average time complexity of inserting into a hash table?

What is the time complexity of checking if a string is an anagram of another using a frequency array?

What is the difference between a JS Map and a plain Object for use as a hash map?

In Two Sum (LC 1), what is stored as key and value in the hash map?

Why does grouping anagrams with a sorted-string key cost O(n*k*log k) while a frequency-count key costs O(n*k)?