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Find the average of all the numbers between 6 and 34 which are divisible by 5.

Correct answer: B. 20

  • A. 18
  • B. 20
  • C. 24
  • D. 30

Explanation

The numbers divisible by 5 between 6 and 34 are 10, 15, 20, 25 and 30. Their average is (10 + 15 + 20 + 25 + 30) / 5 = 100 / 5 = 20. A student may choose 18 by averaging the endpoints 6 and 34, but those endpoints are not the relevant divisible numbers.

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About Averages

An average represents the total of a set of values divided by the number of values, and a weighted average gives different importance to different groups. Problems involve missing values, combined averages, replacement of observations, and changes in the average, so the total and count must be tracked separately.

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