The met office are now saying that “Early statistics from the Met Office National Climate Information Centre show that this has been one of the warmest Junes in records dating back to 1910. Based on figures up until 25 June the mean temperature for the UK for the month is 14.4 °C, making it joint 6th at the moment”. (link)
So, in 104 years, this is the sixth. There are six chances in 104 of being sixth or better. So the chances are around 5.7%.
There are however 12 months in a year. Plus four seasons that are potential records, plus the year itself. That makes 17 potential records each year. So the chances of one of these being a record is … 98%
In other words we expect one such record each year.
If however, we include “coldest”, “wettest”, “windiest”, “driest”, there are a half dozen or so such records each year.
If we then start adding records such as “the coldest 1st may” … then there are 365 x 5 … or over a thousand such records each year.
So not remarkable at all.