The Navy has PT standards.
It once wasn't that way. Physical fitness was generally ignored or given short shrift, like small arms training. Sailors were supposed to be fit enough to do their jobs and if they weren't, that's what evaluations were for. There really wasn't a height and weight standard, other than for sea-going sailors, who were supposed to be able to fit through a 18" scuttle.
There was one sailor on my first ship who was pretty damned obese. The XO told him that if he became too fat to fit through a scuttle, that he'd be medically discharged. So the sailor went on an eating program to get that fat. When he got too fat to get through a scuttle, the XO didn't have him discharged. The sailor was bitterly disappointed and felt that the XO had broken a promise.
That began to change in the mid-`80s. An annual PT test was ordered into effect. First-class petty officers had to submit full-body photos of them, standing sideways, against a contrasting background, because the Navy had gotten tired of making chiefs out of fat-assed PO1s. They might still end up sitting in the Goat Locker on the ROAD program, but not because they were too fat.
The initial reaction from the Fleet was basically one of: "OK, get into shape, but do it on yer own goddamned time." I can recall one (count it) one command PT session on two ships. A command PT session took a hell of a lot of time, from changing out of the work uniform into PT gear, going to the exercise field (not enough room on most ships for this), warming up, doing the exercises, ending with a run, then going back to the ship, taking a shower (for the office pukes, anyway) and then getting back into the working uniform.
Other than the command PT coordinator (if there was one) and maybe the XO, everyone hated it. It took too much time out of the work day on ships that really needed a 30-hour day to get done what needed to be done (except for the Ops pukes and most of the Pork Chops, that is). So command PT was seen being done by those commands that had the time: Airdales and shore pukes.
I don't imagine that things have changed overly much.