Final answer:
Divergent and convergent thinking represent two approaches to problem-solving, with divergent thinking associated with creativity and multiple solutions, while convergent thinking entails finding the most acceptable answer. Analytical intelligence is used when examining trends in data, which involves both inductive and deductive reasoning - key components in the scientific method.
Step-by-step explanation:
When referring to Darren as a divergent thinker and Leah as a convergent thinker, we are discussing different cognitive approaches. Divergent thinking is characterized by the ability to generate creative ideas by exploring many possible solutions, often associated with out-of-the-box thinking. On the other hand, convergent thinking involves narrowing down the multiple possibilities to find the best answer to a problem, typically the one that is most acceptable or correct.
When examining data to look for trends, the type of intelligence most likely being used is analytical intelligence. This form of intelligence is involved when analyzing, comparing, evaluating, and synthesizing information. In scientific contexts, these cognitive processes can include both inductive and deductive reasoning, which are key components of the scientific method.
The pathway between observing specific phenomena and formulating broader generalizations or hypotheses is a cornerstone of scientific inquiry. Whether through descriptive science, which involves observation and inductive reasoning, or hypothesis-based science, which often begins with a hypothesis tested through deductive reasoning, logical thinking is critical for understanding and discovering new insights about the world.