For a given data set \(\{x_1,x_2,\ldots,x_n\}\), where \(n=100\), it is known…

GATE · 2026 · DA · Data Science & AI

For a given data set {x1,x2,…,xn}\{x_1,x_2,\ldots,x_n\}, where n=100n=100, it is known that 12000∑i=1n∑j=1n(xi−xj)2=99\frac{1}{2000}\sum_{i=1}^{n}\sum_{j=1}^{n}(x_i-x_j)^2=99. Let us denote xˉ=1n∑i=1nxi\bar{x}=\frac{1}{n}\sum_{i=1}^{n}x_i. The value of 199∑i=1n(xi−xˉ)2\frac{1}{99}\sum_{i=1}^{n}(x_i-\bar{x})^2 is __________. (Answer in integer)

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