I would find it fascinating if someone drew up a 'potential absolute maximum' for the UK perhaps using interpolation of some of the highest date records.
Originally Posted by: Bertwhistle
I had previously tried to do that for the record breaking 38.5C recorded on 10 August 2003
The only way I could get a handle on it was to do a statistical analysis of all the daytime maxima for that area to see if a calculation based on standard deviation / return period would give the answer
I used the CEDA Daily Maxima data (1960-2016) for the 5km grid square that included Faversham. Kent where the max was recorded
I found that day's max was a significant outlier (and I suspect it should not have been verified) for that grid square and that data set was not useful
I went to the next highest reading (Kew Gardens, London at 37.9) and this one had a much more consistent history with many readings between 34.0 and 37.9C in the date range 15 July to 15 August for 1960-2016
Unfortunately, the data is not "normally" distributed and has an increasingly "fat tail" at the high end but not the low end. The mean max is 23C for this grid square and date range but there are 13 occurrences of days 10C above this mean (33C or more) but no occurrences of 10C or more below this mean (13C or less)
After some adjustment, however, the nearest I could get (with some interpolation) was for a return period of about 90 years for a temperature of 38.5C to occur somewhere in the UK and about 270 years for 40C or more. If the long term UK mean temperature rises, however, these return periods will be shorter