Has anyone found credible research around mean, min, max, average vis-a-vis climate change? Quick search didn't surface anything beyond lots of average temperat

Has anyone found credible research around mean, min, max, average vis-a-vis climate change? Quick search didn't surface anything beyond lots of average temperatures and median forecasts, but less about the distribution of climate. Edit: trying to understand the decomposition of average temperatures increasing (more hot days, hotter hot days, etc)