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The average of 10 numbers is 23. If each number is increased by 4, what will the new average?

Correct answer: B. 27

  • A. 22
  • B. 27
  • C. 25
  • D. 29

Explanation

Adding the same value to every observation adds that value to the average. Thus the new average is 23 + 4 = 27. The likely mistake is choosing 25 by adding only 2 instead of the full increase of 4.

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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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