This data set consists of exposure ages for glacial deposits on nunataks and ice-free areas adjacent to Scott Glacier, Transantarctic Mountains. Most samples are glacially transported clasts deposited during the last glacial period or exposed by subsequent retreat of the glacier, ca. 16,000 yr B.P. to present. These ages are based on concentrations of the cosmic-ray-produced nuclide Be-10. There ... are also data from bedrock samples on Mt Rigby, which have longer and more complicated exposure histories. For these samples, concentrations of the cosmogenic nuclides Al-26 and Be-10, and associated "ages" are the result of repeated exposure punctuated with periods of ice cover and may have been affected by glacial erosion. Apparent ages for the bedrock samples should not be taken as indicative of prolonged single-stage exposure. The primary data are sample locations and exposure ages. Ages are calculated using currently accepted nuclide production rates and correction factors, as described in the footnotes. The data set also contains chemical and isotopic data needed to re-compute exposure ages if nuclide production rates or correction factors are revised in future.