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=\sum_{i=1}^{n} (2 x_i-a) ^2. S takes minimum value, when a is equal to [NDA I 2023]

UPSC NDA I 2023 Mathematics Solved Paper

Question : 116 of 120

Marks: +1, -0

Let P be the median, Q be the mean and R be the mode of observations x1,x2,x3,...xn. Let S=

∑

i=1

(2xi−a)2. S takes minimum value, when a is equal to

[NDA I 2023]

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