As eva said, you can test it how well the noose tightens.
My stance on the issue of friction is that it's one of those things that people tend to overcomplicate. A rope that slides extremely easily is ideal, sure. But with the correct type of knot (e.g. a Noose Knot with a stopper knot, or a Poacher's Knot), I believe any rope will work. It will tighten enough so that the front and sides of the neck are compressed, and that's all what's needed.
In my opinion, the only property of the rope that really matters is its strength. And maybe its elasticity, but that's highly dependent on strength, so it's really just strength. A braided rope made of a synthetic material is preferable, but not a hard requirement. In that sense, that rope on the picture looks like a fine rope to me. But again, you can test it!