The mean of $48, 27, 36, 24, x$ , and $2 x$ is $37. x =$

13 \frac{1}{3}

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16 \frac{2}{3}

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29

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33 \frac{3}{4}

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40

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Solution

The correct option is C $29$
Mean $=$ $\frac{s u m o f n o .}{t o t a l n o}$
$\Rightarrow 37 = \frac{48 + 27 + 36 + 24 + x + 2 x}{6}$
$\Rightarrow 135 + 3 x = 222$
$\Rightarrow 3 x = 222 - 135$
$\Rightarrow 3 x = 87$
$\Rightarrow x = \frac{87}{3} = 29$

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