Question : The average of 5 consecutive numbers is A. If the next 3 numbers are also taken, what will be the new average?
Option 1: A + 1
Option 2: A + 1.5
Option 3: A + 2
Option 4: A + 2.5
Correct Answer: A + 1.5
Solution :
The average of 5 consecutive numbers is A.
This means the numbers are (A – 2), (A – 1), A, (A + 1), (A +2 ).
If the next 3 numbers are also taken, the numbers will be (A – 2), (A – 1), A, (A + 1), (A + 2), (A + 3), (A + 4), (A + 5).
The new average will be the average of two middle-term of the consecutive series.
i.e., $\frac{A+1+A+2}{2} = A+1.5$
Hence, the correct answer is A + 1.5.
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