Imagine that you are walking along the lines of the grid of unit squares below.

If your starting place and the steps you take are random, after \(10\) steps, what is the average Euclidean (straight line) distance you end up away from your starting point? Round your answer to three decimal places.

**Details And Assumptions**

- One step counts as moving from your current location to an adjacent point along one of the line segments (no moving diagonally)

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