Question 9

The average of five consecutive natural numbers is a. If the next two numbers are also included, how will the average vary?

Solution

The average of five consecutive numbers is a. Thus, the numbers should be (a-2), (a-1), a, (a+1), (a+2).

If the next two numbers are also included, then the average will be -

$$\dfrac{a-2+a-1+a+a+1+a+2+a+3+a+4}{7}=\dfrac{7a+7}{7}=a+1$$

Thus, the average will increase by 1.

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