Question 115

The average of 20 numbers is 15 and the average of first five is 12. The average of the rest is

Solution

Given that average of 20 numbers = 15

using average = $$\frac{Sum}{Numberof Elements}$$

Sum of all numbers = 20 x 15 = 300

Average of first five numbers = 12

So sum of first five numbers = 12x5 = 60

Sum of numbers left = 300 - 60 = 240

Number of numbers left = 20 - 5 = 15

So average of left numbers = $$\frac{240}{15}$$ = 16


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