Ah, the dear old BoM. I am not denigrating the organisation, in fact if I could give it some sort of collective hug for the information it supplies so freely I would. Whilst the data included in your link are interesting I found the text a little 'non-BoM' style. By the way, Chez Dujon recorded a pretty normal summer temperature of but 37.9ºC yesterday, although some of the more coastal (offical) sites reported around and about the 43º forecast.
(Duj) I think OZBOM is pretty good, one of the best national services. 37.9°C normal? Hmm, I'd guess your mean max in January is just below 30°C. I shall retaliate with a -9.2°C max on 12 Jan 1987. Sunny all day; it was weird.
Your 30ºC is probably a pretty good estimate. The 37.9ºC I experienced yesterday is, nevertheless, not some sort of extraordinary event - after all it's only just over the old 'ton', a not unexpected event here. Your minus readings you can, like many in North America, Siberia and such high latitude places, keep to yourself. [To the rest of you] Sorry about the weather stuff.