Let x₁, x₂, …,x_n be n observations such that $sum from space to space of straight x subscript straight i superscript 2 space equals space 400 space and space stack sum space with space below and space on top straight x subscript straight i space equals space 80$ Then a possible value of n among the following is

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Solution

fraction numerator begin display style sum from space to space of straight x subscript straight i superscript 2 end style over denominator straight n end fraction space greater or equal than space open parentheses fraction numerator begin display style sum from space to space of straight x subscript straight i end style over denominator straight n end fraction close parentheses squared rightwards double arrow space straight n space greater or equal than space 16

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