Final answer:
The generalized indexed collection that stores a data values associated with a key is called a dictionary. It contains pairs of unique keys and their corresponding values, which can be of any data type. Dictionaries allow for quick access to elements and are widely used in programming languages like Python.
Step-by-step explanation:
The generalized indexed collection called a dictionary, stores a set of data values associated with a key. A dictionary is a data structure that holds a pair where one is the key and the other is the value. Keys are unique within a dictionary while values may not be. The values of a dictionary can be any type of data values such as numbers, strings, lists, or even other dictionaries. The keys usually need to be immutable data types like numbers or strings.
Dictionaries are widely used because they explain direct relationships between data (the key and value pair), which allows for quicker access to an element without needing to search through the entire collection. In programming languages like Python, objects called dictionaries provide a way to store data in a key:value format.