The mean of $15$ observations is $18$ . If each observation is multiplied by $3$ , what will be the new mean?

32

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44

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54

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62

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Solution

The correct option is C $54$
mean of $15$ observations = $18$
Sum of $15$ observations = $18 \times 15$ = $270$
If each observation is multiplied by $3$
Sum of $15$ observations = $18 \times 15 \times 3$ = $810$
New Mean = $\frac{810}{15}$ = $54$

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