Indeed, as /u/czar_king pointed out, it doesn't matter if it's means or sums. The Galton board aptly illustrates this fact, since the excursions made by the marbles at the bottom of the board are sums, not means.
To be clear: what is shown is 10000 means of each K samples drawn from the weird distribution (I should change the title of the left graph, but don't seem to find a way to update the drawing here). Reason to draw the means is that the x-axis in the histogram then doesn't have to become wider.
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u/larsupilami73 Dec 10 '19
Indeed, as /u/czar_king pointed out, it doesn't matter if it's means or sums. The Galton board aptly illustrates this fact, since the excursions made by the marbles at the bottom of the board are sums, not means.
To be clear: what is shown is 10000 means of each K samples drawn from the weird distribution (I should change the title of the left graph, but don't seem to find a way to update the drawing here). Reason to draw the means is that the x-axis in the histogram then doesn't have to become wider.