The mean of $15$ observations is $20$ . If $8$ is added to each observation, find the new mean.

28

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32

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38

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47

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Solution

The correct option is A $28$
Mean of $15$ observations $=$ $20$
Sum of $15$ observations $=$ $20 \times 15$ $=$ $300$
If $8$ is added to all the observations,
Sum of $15$ observations $=$ $300 + 15 \times 8$ $=$ $420$
New mean $=$ $\frac{420}{15}$ $=$ $28$

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