"Oh, the little fiddly things?" said Dumbledore. "They came with the Headmaster's office and I have absolutely no idea what most of them do. Although this dial with the eight hands counts the number of, let's call them sneezes, by left-handed witches within the borders of France, you would not believe how much work it took to nail that down."

Chapter 17.

I know it's supposed to be a joke, but.... How? Is Dumbledore monitoring every wizard and witch's sex life? And how did he manage to crunch that data? Do wizards have calculating machines?

Or maybe he meant to say "the documentation took a lot of work to find and decipher"?

ETA: If it was Rowling writing this, the 'device with the golden wibblers' mentioned in the very next sentence would become a major plot point later in the series.