The mean of 10 observations is 16.5. It was l | vedclass

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(D) Given that the mean of $10$ observations is $16.5$.Sum of $10$ observations = $	ext{Mean} 	imes 	ext{Number of observations} = 16.5 	imes 10 =

Vedclass · Accepted Answer

$18.3$

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(D) Given that the mean of $10$ observations is $16.5$.Sum of $10$ observations = $	ext{Mean} 	imes 	ext{Number of observations} = 16.5 	imes 10 = 165$.Since one observation was taken as $57$ instead of $75$,the incorrect sum includes $57$ and excludes $75$.Correct sum = $	ext{Incorrect sum} - 	ext{Incorrect observation} + 	ext{Correct observation} = 165 - 57 + 75 = 183$.Correct mean = $\frac{	ext{Correct sum}}{	ext{Number of observations}} = \frac{183}{10} = 18.3$.

The mean of $10$ observations is $16.5$. It was later noticed that one observation was taken as $57$ instead of $75$ by mistake. Find the correct mean of the data.

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