The problem is as mentioned above. A pound of feathers and a pound of rocks is still a pound. Measuring exactly how much mass you've gained in one or the other is incredibly difficult to do. On top of that, not all of our weight is just fat and muscle, either. We also have waste that hasn't been excreted, water weight from glycogen repletion from carbohydrate intake, and air from breathing, among dozens of other factors that can add up.
Largely, when people begin losing, or adding weight, water is the first to change. Give me 48 hours, and I can drop at least 10 lbs via fasting. At most, depending on my activity, 1.5 - 2 lbs of that will be fat. The rest of it is water being depleted as my body begins to burn through my glycogen stores to maintain brain glucose requirements. Actually, this is part of why low-carbing is so popular, because of the large weight loss seen in the beginning. Water weight.
That said, this also works in the reverse. Anyone who is doing some heavy exercising or trying to gain mass is going to eat more. A portion of this weight is going to be fat, but it is largely going to be water you put on during a bulking phase.
The point I'm trying to get across? Don't worry about it. There are so many things that influence weight to such varying degrees that you'll largely never get a straight answer. Too many things complicate it, such as diet, routine, calorie intake, carbohydrate consumption, metabolic health, etc....