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Standard Deviation

What Is It?

Standard deviation measures how spread out a set of data is from its average. In trading, it tells you how "unusual" a stock's move is compared to its typical behavior.

Think of it like this: if a stock normally moves $2 a day and today it moved $6, that's a 3 standard deviation move — extremely rare. If it moved $2, that's a 1 standard deviation move — totally normal.

The Probability Breakdown

1 Standard Deviation (1σ) — 68% of the time the stock stays within this range

2 Standard Deviations (2σ) — 95% of the time

3 Standard Deviations (3σ) — 99.7% of the time

This is the famous "bell curve." Most stock moves cluster around the average, with extreme moves being rare but not impossible.

How It Connects to Options

The expected move of a stock (covered in the previous lesson) IS a one standard deviation move. When Tastytrade or Go Maz shows you the expected move, they're saying "there's a 68% chance the stock stays within this range."

Our 20-delta options sit roughly at the edge of one standard deviation. That means there's about a 20% chance the stock reaches our strike — which is exactly the probability/payoff balance Ed's strategy targets.

Why Bigger Moves = Bigger Opportunity

When a stock makes a 2σ or 3σ move (like a massive earnings gap or sector rotation), it often reverts back toward the mean. These are the moments where options get mispriced and opportunities appear. Go Maz flags these through its pattern detection and volume confirmation rules.

The Takeaway

Standard deviation is the backbone of probability-based trading. It tells you what's "normal" and what's "unusual." Our entire strategy — 20-delta, expected move, IVR — all sits on top of this one concept. Understand standard deviation and everything else clicks into place.