Question: If X is a discrete random variable, and if P (X m) = 0.5 and P(X m') = 0.5, what is the median of the

If X is a discrete random variable, and if P (X m) = 0.5 and P(X m') = 0.5, what is the median of the distribution.

I think the median maybe (m+m')/2

please prove it if possible, thanks

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