Multiple choice

The mean of five consecutive numbers is 14. Calculate the average of the smallest and the largest numbers.

  1. 10

  2. 12

  3. 15

  4. 14
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D Correct answer
Explanation

Let the five consecutive numbers be x-2, x-1, x, x+1, x+2. Their mean is x = 14. The smallest number is 12 and the largest is 16, so their average is (12+16)/2 = 14.

AI explanation

For any sequence of consecutive numbers, the overall average equals the average of the middle term. Because the average is also the midpoint between the smallest and largest numbers, the average of the smallest and largest numbers must equal the overall mean. By applying this property of consecutive integers, the average of the smallest and largest numbers is 14.

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