Thanks for that stats roundup GW .
Some truly amazing sunshine totals there. More modest where I am but still as sunny as I've ever known, 966.2 hours in the past 4 months and 1084 hours for Jan-Jun 2020. This despite June being extremely average with 99.7% of the normal hours.
The short but potent hot spell, setting two date records here, had a dramatic effect on the June-to-date temp anomaly (v. 1981-2010), which rose from +0.02°C on 23rd to +0.71°C on 26th. However, a cool finish then mostly countered that with the anomaly to 30th coming in at +0.19°C.
I imagine it may be a similar story for the CET when comparing with 1981-2010 (as severnside implies), as opposed to the 1961-1990 baseline that's displayed in the current year Hadley CET stats.
Looking at the model projections for the next 10 days or so, I wonder if July 2020 might display a similar tendency to be mainly near average but with a few markedly warmer interludes. Much depends on the 2nd half of the month, when several sources including the Met Office and the CFSv2 long-range model are keen on breaking us out of this pattern, with some longer warm spells developing.