Ahhh, you have forced me to admit my Secret Shame: I do not "monitor" temp, per se.
The closet I use to store my fermenter, bottles and other brewing supplies is the hallway near, but not right next to the front door. It is on the north side of the house, in the center, so it receives no direct sunlight at any time of day. I believe it to be the place with the most stable (and lowest) temp in the house.
The thermostat in the hallway (which gets no direct forced air heat) usually reads between 60-70. Therefore, I assume the closet stays within that range. So, I creatively consider "assume" to be synonymous with "monitor".