educe
Educe is a transitive verb meaning to draw out or bring forth, especially information, qualities, or conclusions, from evidence or data. It is used to describe the process of eliciting latent facts or arguments as well as the act of reasoning to a conclusion from given facts. In practice, you educe a pattern from a dataset, or you educe a conclusion from a set of observations.
The word comes from Latin educere, “to lead out.” It entered English in the 16th century. Educe
Usage notes and examples: In formal or literary writing, "educe" can convey a careful extraction of information