The mean of a set of observations is x-. If each observation is divided by, α≠0 and then is increased by 10, then the mean of the new set is

# The mean of a set of observations is $\stackrel{-}{\mathrm{x}}$. If each observation is divided by, $\mathrm{\alpha }\ne 0$ and then is increased by 10, then the mean of the new set is

1. A

$\frac{\overline{\mathrm{x}}}{\mathrm{\alpha }}$

2. B

$\frac{\overline{\mathrm{x}}+10}{\mathrm{\alpha }}$

3. C

$\frac{\overline{\mathrm{x}}+10\mathrm{\alpha }}{\mathrm{\alpha }}$

4. D

$\mathrm{\alpha }\overline{\mathrm{x}}+10$

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Let ${\mathrm{x}}_{1},{\mathrm{x}}_{2},{\mathrm{x}}_{3},\dots {\mathrm{x}}_{\mathrm{n}}$ be n observations. Then