The average of five consecutive numbers is m. If the next two numbers are also included, how shall the average vary?
Explanation:
Consecutive numbers are in arithmetic progression, hence average of these 5 consecutive numbers will be the middle number i.e, the 3rd number.
⇒ 3rd number = m
⇒ The five numbers are: (m - 2), (m - 1), m, (m + 1) and (m + 2)
If next two numbers are also added we will have the following 7 numbers. (m - 2), (m - 1), m, (m + 1), (m + 2), (m + 3) and (m + 4)
These numbers are also in arithmetic progression hence their average will be the middle number i.e., m + 1.
Hence, option (e).
The original question had 4 wrong options. We have added the correct (5th) option.
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