We are able to calculate the distance between bases, pitcher's mound, pitcher's rubber, home plate, catcher's box, batter's boxes, on-deck circles, coach's boxes, foul lines, etc..
However, there are no rules stating where the average fielder should stand. Shortstop is a fielder's position, not a specific boundary on the field, so there is no way to measure this distance.
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Since short stop is not a specific location on the playing field, that is hard to say. But if the bases are 60' apart, I would say it is somewhere around 70' to 80'.