A D993: Real number $x \in \mathbb{R}$ is a median for $X$ if and only if
(1) | \begin{equation} \mathbb{P}(X \leq x) \geq \frac{1}{2} \end{equation} |
(2) | \begin{equation} \mathbb{P}(X \geq x) \geq \frac{1}{2} \end{equation} |
(1) | \begin{equation} \mathbb{P}(X \leq x) \geq \frac{1}{2} \end{equation} |
(2) | \begin{equation} \mathbb{P}(X \geq x) \geq \frac{1}{2} \end{equation} |
▶ | R3738: Median need not be unique for a random real number |