Question 54

The average of 12 numbers is 15, and the average of the first four numbers is 13. What is the average of the remaining numbers?

Solution

The average of 12 numbers is 15.

Sum of 12 numbers = $$15\times12$$ = 180

The average of the first four numbers is 13.

Sum of first four numbers = $$13\times4$$ = 52

Average of the remaining numbers = $$\frac{180-52}{12-4}$$

= $$\frac{128}{8}$$

= 16

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