Posted by haifeng on 2014-10-11 13:14:19 last update 2014-10-11 13:31:52 | Answers (1) | 收藏
设 $x_1,x_2,\ldots,x_n\in[0,1]$. 证明, 存在 $t_0\in[0,1]$, 使得
\[ \frac{1}{n}\sum_{i=1}^{n}|t_0-x_i|=\frac{1}{2}. \]