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The average of a set of fifteen numbers is 12. If 7 is added to each of the numbers in the given set, then what will be the new average?
The average of a set of fifteen numbers is 12.
Sum of a set of fifteen numbers = $$15\times\ 12$$
= 180
If 7 is added to each of the numbers in the given set, then new average = $$\frac{180+7\times\ 15}{15}$$
= $$\frac{180+105}{15}$$
= $$\frac{285}{15}$$
= 19
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