$20$ , $20 - 2 x$ , $40$ , $20 - 4 x$ , $- 60 + 2 x$
Find the arithmetic mean of above numbers.

4

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- \frac{4}{5} x

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8 - \frac{4}{5} x

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\frac{100}{x}

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Solution

The correct option is C $8 - \frac{4}{5} x$
Given numbers are $20, 20 - 2 x, 40, 20 - 4 x$ and $- 60 + 2 x$
Than arithmetic mean $=$ $\frac{20 + 20 - 2 x + 40 + 20 - 4 x - 60 + 2 x}{5}$
$=$ $\frac{- 2 x - 4 x + 2 x + 20 + 20 + 40 + 20 - 60}{5}$
$=$ $\frac{- 4 x + 40}{5} = \frac{40}{5} - \frac{4 x}{5}$
$=$ $8 - \frac{4 x}{5}$

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