Plotting standard deviation function using WolframAlpha

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I'm trying to plot a standard deviation function using WolframAlpha's function plotter and my function looks like this:

$SD(Y) = \sqrt{\sum_{i=2}^{k}\frac{k(i-1)}{ (k-(i-1))^2 }}$ where k goes from 1 to 50.

And I've written my function like this in the plot

plot sum( (k(i-1)) / ((k-(i-1))^2) ) from i=2 to k from k=1 to 50

But I can't seem to put a square root over the whole sum without an error. How can I write my standard deviation function and get the graph?