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Eight consecutive numbers have an average of 6.5. What is the average of the largest and smallest of these numbers?

1. 4
2. 6.5
3. 7.5
4. 9

Correct answer: 6.5

Solution

Consecutive numbers form an arithmetic progression, which is symmetric about its average. The average of the first and last terms of an AP always equals the overall average, so it is 6.5.

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