Thanks for making the attempt, at least. I thought you might have used a dictionary, though. Volatility is variance with respect to time. That is, it's a measure of speed of variance or, if you like, of acceleration of change. If some dumb clucks in mathematics don't understand English, that is not my concern. If they have really used a word counter-intuitively like that, it doesn't mean that their useage takes precendence over anything. They are, after all, only mathematicians. (My son's a mathematician but I'm sure he understands the meanings of words.)
Are you a mathematics student?
No. If you think that's so, can you please give a link to some kind of scholarly article?
For instance, volatility on the stock market on in precious metals' prices does not refer to a range of prices but a tendency towards abrupt change due to apparently small impetus to cause it. An example is that up to about a couple of years ago, a tiny change in the gold price would trigger a big change in silver. Gold could change from 1500 to 1550, a change of 3% and trigger a change in silver from 15 to 18, which is a change of 20%. However, the price range of gold is 1550 and the price range of silver is 18 or whatever. Silver would be referred to as more volatile than gold.
It's a direct comparison: between gold prices and rating variation. They both refer to values. Therefore unless you can find evidence of a special case involving chess ratings, you should accept that I'm right. I think it's a simple misunderstanding that you've made. That's all. Nothing to be upset about.
So volatility isn't "how far" but how fast. You forgot the time factor entirely.
You're explaining exactly what I defined. 3 is a greater change compared to 15 than 50 is to 1500.
Sorry, you referred to "how far", which isn't a proportion. Stop trying to win discussions on false pretences. "How far" isn't a percentage.
Stop trying to win a discussion? I'm not trying to win. If you stopped and used your brain for a second you'd realize how volatility would look when graphed.
I think you should be here to try to learn. It would do you more good. Bye.
Or maybe you should tone down the ego and admit to yourself that you don't know what the eff you're talking about.
Oh you don't know what ego is now? But you're the one with the ego problems. I know I'm right about the meaning of "volatility" and I also know that you aren't trying to make a proper argument. Just trolling, in fact. Personal attacks. Pathetic.
Pathetic? You're a 73 year old using a patronizing tone about a subject you clearly don't understand. I respectfully tried to give a more visual definition to help somebody who was clearly having trouble understanding a concept. Don't turn up the heat and then get butt hurt when you get burned.
In mathematics, volatility is variance from the mean. Real time has nothing to do with it because you can define your own time horizon. A more volatile rating would have higher peaks and lower valleys regardless if you look at a graph of a player over the course of an hour, a day, a year etc. That's how volatility works.