How long for SD to be accurate?

[sethypooh21]

We've all seen the questions a thousand times about how many hands is enough to determine WR, (infitity of course...) My question is how long does it take for a calculation of one's standard deviation to be accurate? I ask because mine appeared to jump almost a point overall between 10k and 20k hands in one of my DB's.

[uuDevil]

Poster jason1990 has addressed this question, but this is pretty heavy stuff:

Article on SD

[2ndGoat]

If you'd rather not get waist-deep in numbers, rest assured that it converges a lot faster than your win rate converges.

2nd