I am currently working through the Feynman Lectures, chapter 6: Probability. I have reached his problem of the "random walk".
After deriving this and getting some root mean square, wouldn't this just be the same as finding the standard deviation? The standard deviation is the root of the mean of the squared data. Isn't that also just the root mean square?
Also, what exactly are the implications of the root mean square, what does it even mean in regards to our problem?