Edporch, In my case the training staff simply did height and weight and tape measured my wrists, chest, waist, legs etc, and used calipers on my belly and thighs. They didn't have the electronic deal that you stand on barefooted or weigh me in a water tank. I think they were just guessing and guessed wrong. All I know is their plan was making me sick. Common sense made me well.
We tested some different methods in my Physiology of Exercise class.
The most accurate practical way to measure body fat is by underwater weighing.
I don't trust the electronic things, because they use body resistance.
People vary to much as far as body resistance.
We studied and did various ways, and the underwater weighing worked the best.
To underwater weigh, we just went to the indoor pool, had the subject wear as brief of a bathing suit as possible (I wore a brief racing suit), then had somebody hold a round hand scale with a small chain on the end.
The subject simply forcefully exhaled all the air they could so they would sink.
The person holding the scale noted the weight.
By using this weight, with the dry on land weight, and using a formula that took into account the residual air volume in the lungs (to account for a slight buoyancy when underwater weighed) we got a body fat measurement.
I still have my notes from that class around here somewhere.