Additive manufacturing (AM), the process in which a three-dimensional (3D) object is built by adding subsequent layers of materials, enables novel material compositions and shapes, often without the need for specialized tooling. On March 11-13, 2024, the Board on Mathematical Sciences and Analytics of the National Academies held a workshop on Statistical and Data-Driven Methods for Additive Manufacturing. The workshop brought together researchers from different AM communities, statisticians, data scientists, and AI/machine learning (ML) experts to examine approaches that enhance dimensional accuracy and dimensional stability; recent advances and future directions in statistics, data analytics, AI, and ML; and the issues associated with a rapid advance of AM material qualification and part certification.