Question
Let $x_{1}, x_{2}, \ldots, x_{n}$ be any real numbers. Find the value of $c$ that minimizes $\sum_{i=1}^{n}\left(x_{i}-c\right)^{2}$.
Step 1
Step 1: First, we expand the given expression $\sum_{i=1}^{n}\left(x_{i}-c\right)^{2}$, which gives us $\sum_{i=1}^{n} x_{i}^{2} - 2cx_{i} + c^{2}$. Show more…
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