(This puzzle is based off of a student-created problem on an exam for an undergraduate Intro to Discrete Mathematics course at UC Berkeley)

Octodad has trouble walking straight. When he takes a step, he moves one yard in any random direction.

He decides to try and practice moving around on an xy-coordinate plane. If he starts at the origin, what will be the mean and standard deviation of his distance from the origin after taking a large number of steps?

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## gavinksong

(This puzzle is based off of a student-created problem on an exam for an undergraduate Intro to Discrete Mathematics course at UC Berkeley)

Octodad has trouble walking straight. When he takes a step, he moves one yard in any random direction.

He decides to try and practice moving around on an xy-coordinate plane. If he starts at the origin, what will be the mean and standard deviation of his distance from the origin after taking a large number of steps?

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