How to derive formula of variance of sample median?

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I wonder how to derive the formula of variance of median of sample. I searched it for a day but couldn't find, so I'm asking help here. You may just notice me the link of it.

I saw the result form is

$$ Var(X-median) = \frac{\pi}{n}\times\frac{\sigma^2}{n} $$

But couldn't find how to derive this.

Thank you genius!!