Ononot — Let \{x1, \dots, xn\} be a dataset. We define g(c) = \frac{1

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Descriptive Statisticshard

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Let $\{x_1, \dots, x_n\}$ be a dataset. We define $g(c) = \frac{1}{n}\sum |x_i - c|$ . If we compare the value of $g(c)$ when $c = \bar{x}$ (the sample mean) versus when $c = M$ (the sample median), which inequality must always hold?