Definition:Mean Absolute Deviation/Continuous Random Variable

Definition

Let $X$ be a continuous random variable.

Let $m$ denote the median of $X$.

Let the frequency function of $X$ be $f$.

The mean absolute deviation of $X$ is defined as:

$\ds \int_{-\infty}^{+\infty} \size {x - m} \map f x \rd x$

Also see

• Results about mean absolute deviation can be found here.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): mean absolute deviation
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): mean absolute deviation