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JEE MATHEMATICS MCQ: STATISTICS

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If ∑i=15xi2=40&∑i=610xj2=20\sum\limits_{{i=1}}^5 x_i^2=40 \& \sum\limits_{{i=6}}^{10} x_j^2=20 and mean of x1,x2,……x5x_1, x_2, \ldots \ldots x_5, is 1 and mean of x6,x7,……...x10x_6, x_7, \ldots \ldots . . . x_{10} is 2 then variance of x1,x2,……..x10x_1, x_2, \ldots \ldots . . x_{10} is
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Correct option: B
154\frac{15}{4}
Option B (154\frac{15}{4}) is correct because it is the variance calculated using the given sums of squares and means.

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