# Average Absolute Deviation (find the minimum)

• February 5th 2008, 10:04 AM
james_bond
Average Absolute Deviation (find the minimum)
$S_n(x)=\frac 1n\sum_{i=1}^n|x_i-x| \Longleftrightarrow f(x)=nS_n(x)=\sum_{i=1}^n|x_i-x|$
Prove that it has the minimum when $x$ is the median.
• June 3rd 2010, 07:24 AM
james_bond
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