A cacher and I were discussing where we have placed caches. The question came up about where the arithmetic mean of our caches is located. Sometime after that, I decided that my first puzzle cache would involve the arithmetic mean for my caches. Because I have a virtual geocache in Wyoming, I had to place many caches to get it to a reasonable location.
If you don't know what an "arithmetic mean" is, it will be easy to find out. Since it is so easy, do not ask me because I won't tell you. The arithmetic mean is easy to calculate, if you had all of the coordinates. The twist is that I don't give you the actual coordinates of this cache but I do give you the arithmetic mean of all of my active caches (as of when this cache was published) including this one. Nothing fancy on calculating the coordinates: N41° 15.57378 is the arithmetic mean of the latitudes of all of my active caches (as of when this was published), including this one (whose latitude is unknown to you). W111° 56.30513 is the arithmetic mean of the longitudes including this one (whose longitude is unknown to you).
These are the caches you'll need to look at, my active caches as of when this cache was published. For all calculations, use the published coordinates of the cache.
You can check your answers for this puzzle on Geochecker.com. The coordinates you enter don't need to be exact, but within 25 feet.
Even though this is a white cache hiding in the snow, you won't need a hint since it is so big.