Final answer:
Fluid intelligence is the ability to see complex relationships and solve problems, essential for learning quickly and flexibly. Crystallized intelligence pertains to knowledge accumulation and retrieval. Analytical intelligence is used for tasks like examining data and identifying trends.
Step-by-step explanation:
The basic intelligence that makes learning quick and flexible is referred to as fluid intelligence. This dynamic form of intelligence includes the ability to see complex relationships and solve problems that you may not have encountered before. In contrast to crystallized intelligence, which is the accumulation of knowledge and facts one has learned and the ability to retrieve it, fluid intelligence is the capacity to think logically and process information in novel or complex situations, without necessarily relying upon pre-existing knowledge.
When examining data to look for trends, the type of intelligence you are using most is analytical intelligence. This domain of intelligence refers to the ability to analyze, evaluate, judge, compare, and contrast. In educational psychology, fluid intelligence is crucial in problem-solving and understanding abstract concepts, while analytical intelligence is key in assessing information and solving problems with a well-defined answer.