This dataset contains post-processed output from a study with the Norwegian Earth System Model (NorESM) that uses proxy-based stochastic volcanic forcing to assess the effects of volcanic uncertainty on probabilistic 21st century climate projections. The experiments are described in detail in Bethke etal., 2017, Potential volcanic effects on 21st century climate projections (submitted to Nature Climate Change). The dataset contains raw output from extra simulations (member 61-120) for the reference experiment rcp45NoVolc (NoVOLC), which has a temporal coverage 2006-2099 and no volcanic forcing. It includes high-frequent daily output in addition to monthly and annual mean output.