What is the average of all integers from 10 through 20 inclusive?

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Multiple Choice

What is the average of all integers from 10 through 20 inclusive?

Explanation:
When numbers form a sequence with equal steps, the average lands at the middle value of the list. For consecutive integers from 10 to 20, there are 11 numbers, so the middle one is the 6th term, which is 15. More formally, the average equals (first + last) / 2 = (10 + 20) / 2 = 15. You can also pair the outside numbers (10 with 20, 11 with 19, etc.), each pair averaging to 15, with the center value itself being 15. So the average is 15.

When numbers form a sequence with equal steps, the average lands at the middle value of the list. For consecutive integers from 10 to 20, there are 11 numbers, so the middle one is the 6th term, which is 15. More formally, the average equals (first + last) / 2 = (10 + 20) / 2 = 15. You can also pair the outside numbers (10 with 20, 11 with 19, etc.), each pair averaging to 15, with the center value itself being 15. So the average is 15.

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