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  4. The algebraic sum of the deviation of 20 observation measured from 30 is 2 . Then find the mean of observation.

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Q. The algebraic sum of the deviation of $20$ observation measured from $30$ is $2$ . Then find the mean of observation.

Statistics

Solution:

$\displaystyle\sum_{i=1}^{20}\left(x_{i}-30\right)=2$
$\left(x_{1}+x_{2}+\ldots \ldots \ldots+x_{20}\right)=602$
$\bar{x}=\frac{x_{1}+x_{2}+\ldots . .+x_{20}}{20}=\frac{602}{20}=30.1$