Whilst I respect Joanne Nova's opinion as a Scientist, it should be remembered that her field of expertise is Microbiology, not Climate Science.
The minimum daily temperature is recorded as higher than the maximum. Uh oh!
This point gets covered quite well in one of the comments made in
Flying Binghi's link.
BOMs new data set, ACORN, so bad it should be withdrawn (954 min temps larger than the max!) « JoNova: Science, carbon, climate and tax
Check out comment #22 by Adam Smith. (He's a brave lad, venturing into that Lions Den.
)
It's a bit too lengthy to cut and paste here, but does provide an insight into how it is possible to have the minimum higher than the maximum.