Some followups to my post of last night.
First, I made a spreadsheet error on the HadCRUT4 monthly anomalies that slightly inflluenced the result. I replaced the plot with the corrected one.
Second, it was requested that I slso do a histogram for the annual anomalies, since that was being discussed. It's also clearly not normally distributed:
Third, a Twitter response to last night's post pointed to this post by Andy Cotgreave, who created this nice graph, which shows how the distribution has been changing over time, shifting to higher temperatures:
There are more good graphs on his post.