Let P be the median, Q be the mean and R be the mode of observations x_1, x_2, x_3, x_n. Let S= _ i=1 ^ n (2x_i-a)^2. S takes minimum value, when a is equal to

NDA 2023 Mathematics question

Let be the median, be the mean and be the mode of observations . Let . takes minimum value, when is equal to

Answer: (C)

. Setting this to zero: ; and

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Question ID VK-029647