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If $$\sigma$$ is the standard deviation of the observations $$x_1, x_2, ........., x_n$$ then the standard deviation of $$5x_1 + 7, 5x_2 + 7, ......, 5x_n + 7$$ is
$$5 \sigma + 7$$
$$\sqrt{25 \sigma^2 + 7}$$
$$5 \sigma$$
$$5 \sigma + \sqrt{7}$$
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