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Maths-

General

Easy

Question

When 10 is subtracted from all the observations, the mean is reduced to 60% of its value. If 5 is added to all the observations, then the mean will be

25
30
60
65

The correct answer is: 30

To find the value of new mean.

If $10$ is subtracted from all the observations, then mean will also get reduced by value of $10$ .
Hence, $(mean - 10) = 3/5 x mean$
$\Rightarrowmean = 25$
Also $5$ is added to all the observations, then the mean will be mean $+ 5.$
Thus, the required mean $= 25 + 5 = 30$

Hence, the new mean is 30.

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