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If the standard deviation of $x_{1}, x_{2}, \dots, x_{n} is 3 .5$ , then the standard deviation of $- 2 x_{1} - 3, - 2 x_{2} - 3, \dots \dots, - 2 x_{n} - 3$ is

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$- 7$

$- 4$

1.75

answer is C.

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Detailed Solution

$SD (ax + b) = | a | SD (x) = 2 (3.5) = 7$

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