If $\;\;\;{x_1},{x_2}, \ldots .,{x_{18}}$ 18 are observation such that $\mathop \sum \limits_{j = 1}^{18} \left( {{x_j} - 8} \right) = 9\;\;\;\;and\,\;\;\;\mathop \sum \limits_{j = 1}^{18} {\left( {{x_j} - 8} \right)^2} = 45,$ then these standard derivation of these observations is

JEE MATHEMATICS MCQ: STATISTICS

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Application +4 | -1

\;\;\;{x_1},{x_2}, \ldots .,{x_{18}}

18 are observation such that

\sum \limits_{j = 1}^{18} \left( {{x_j} - 8} \right) = 9\;\;\;\;and\,\;\;\;\sum \limits_{j = 1}^{18} {\left( {{x_j} - 8} \right)^2} = 45,

then these standard derivation of these observations is

View answer and explanation

Correct option: D

\frac{3}{2}

Option D (3/2) is correct because the standard deviation is calculated using the given sums and the formula for standard deviation.

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