Standard Deviation

What is Standard Deviation?

Standard Deviation, also known asStandard deviationIt meansMeasure the fluctuation of the actual result from the mean (EV)

The larger the standard deviation, the more volatile the profit and loss.

What is the difference between Standard Deviation and Variance?

Variance:The square of the magnitude of the fluctuation

Standard Deviation:The actual fluctuation scale obtained by taking the square root of Variance.

Standard deviation is easier to understand and apply in practice than variance.

What factors affect Standard Deviation?

This includes:
→ Playing style
→ Betting Size
→ Full frequency
→ Game type
→ Opponent's level

The more aggressive the playing style, the higher the standard deviation usually is.

Why is Standard Deviation important?

Because it affects:
→ Downswing
→ Upswing
→ Bankroll Management
→ Psychological stress
→ Long-term risks

High EV does not equate to low risk; a high standard deviation may lead to greater short-term volatility.

How do experts use Standard Deviation?

Professional gamers will analyze:
→ EV
→ Variance
→ Standard Deviation
→ Bankroll
→ Sample size
→ Risk tolerance

Skilled investors adjust their money management based on market volatility, rather than focusing solely on profit rates.

Practical Example

Two players EV is +5BB per 100 lots

→ Player A's standard deviation is 40BB
→ Player B's standard deviation is 90BB

Although the long-term profits are the same, Player B may experience a longer and deeper downswing.

Same EV does not mean same volatility.

The Most Common Misconception Among Beginners

Many players believeAs long as the technology is good, there won't be major fluctuations.In factEven the best professional gamers are still affected by Standard Deviation.

Technology can improve EV, but it cannot eliminate fluctuations.

Core Conclusion

Standard Deviation is an important statistical indicator for measuring the volatility of Texas Hold'em games and an indispensable part of money management.

Understanding Standard Deviation, Variance, Expected Value, Downswing, Upswing, Bankroll Management, Sample Size, GTO, and Exploit Thinking will help you develop a healthier long-term profitability mindset and prevent short-term fluctuations from influencing your decisions.