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Solving Equations with Linear Expressions on One Side and Numbers on the Other Side

The mean of ...

Question

The mean of $10$ observations is $3.5$ . If two observations namely $3.5$ and $2.5$ are deleted. Find the new mean.

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Solution

New sum of observations $= (10 \times 3.5) - 3.5 - 2.5$
$= 35 - 6$
$= 29$
Total No. of observations $= 8$
New Mean $= \frac{29}{8} = 3.625$

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