The algebraic sum of the deviations of 20 observations measured from 30 to 20 . What is the value of the mean of the observations?
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The algebraic sum of the deviations of 20 observations measured from 30 to 20 . What is the value of the mean of the observations?

(a) 30

(c) 29

(b) 30.1

(d) 31

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Best answer

Deviation $=\Sigma\left(x_i-A\right)=\Sigma x_i-n A$

$\begin{aligned}20 & =\Sigma x_i-20 \times 30 \\\Sigma x_i & =620 \\\text { Mean } & =\frac{620}{20}=31\end{aligned}$

So, The correct option of this question will be (D).

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