They're box and whisker plots.
They show where the majority of runs are clustered, as well as the median (which is in the middle - as in half the runs are milder, half the runs are colder). Note that the median is not always the same as the mean! The long "whiskers" show the absolute warmest and coldest runs.
As an example, for the 1st Jan:
The median is 3C. The absolute wamest run shows a high of 12C and the absolute coldest run shows a high of -4.
The wider cyan box means that 50% of the runs were between +1C and +7C, with a further 15% of the runs being between +7 and +9C. Another 15% of the runs were between -1C and +1C. Finally 10% of the runs showed a high between +9C and +12C, the same number showed a high between -4C and -1C.
The longer the boxes and whiskers, the more variance there is. You'll see they gradually lengthen over the course of the run, with the early time periods showing very short boxes and whiskers - much higher confidence here!
Originally Posted by: Retron