Probably just sloppy fasteners. Should be 15mm. Channellock makes a nice thin adjustable that can be handy for pedals (and other things) too. I can't always get any of my regular wrenches between the pedal and crank arm.
Another alternative would be a bike-specific tool kit from Chain Reaction Cycles - I think the one I have is branded "X-Tools" if I recall correctly. It was cheap and included some thin wrenches for pedals and headsets and the like. The kit isn't "fantastic" by any means, but sometimes it's nice to have a kit with bike-specific tools nonetheless. The tools aren't junk - they're just also not the pro-level tools I buy for more frequent use. I'd spend more if I worked on bikes often.
Just something to consider if, for example, working on your own bikes is likely to come up again in the future. That way you'll have an assortment of spoke wrenches, a chain breaker, a chain whip, some non-marring pry bars, a chainring nut wrench, a cassette remover, etc... Pretty much what you need to take any part of a typical bike apart. I added a couple extra items to remove headset bearings, work on my forks and a few other very specific tasks, but the kits usually have 90%+ of what you would ever need.
I don't always endorse buying big tool kits with mediocre versions of a bunch of tools just in case - often I prefer to buy "good" tools and only as I need them. Working on bikes though seems like an exception. It's handy to be ready and the tools work - and the need arises only occasionally for me.
I don't see the kit I bought on the website anymore - but it looks like they carry a new budget tool brand called "Lifeline" where some of it looks pretty similar. My kit was bigger than any of the kits I see now - but the 18 piece lifeline kit looks like a reasonable base.
Also, I realize I went way off on a tool tangent when your question was about the size of a pedal wrench, but you already got that answer and your thread might have died without me. You're welcome.
For the record, there are smaller sizes on pedals - but those are usually on small kids bikes (or maybe something old).