The mean of a set of observations is \( \overline{\boldsymbol{x}} \...

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The mean of a set of observations is \( \overline{\boldsymbol{x}} \). If each observation is divided by \( \alpha, \alpha \neq 0 \) and then is increased by 10 , then the mean of the new set is
(A) \( \frac{\bar{x}}{\alpha} \)
(B) \( \frac{\bar{x}+10}{\alpha} \)
(C) \( \frac{\bar{x}+10 \alpha}{\alpha} \)
(D) \( \alpha \bar{x}+10 \)
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