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The average of five numbers is 27. If one number is excluded, the average becomes 25. The excluded number is__________?

Correct answer: D. 35

  • A. 25
  • B. 27
  • C. 30
  • D. 35

Explanation

The total of five numbers is 5 x 27 = 135. After excluding one number, the remaining total is 4 x 25 = 100, so the excluded number is 135 - 100 = 35. A student may choose 30 by subtracting the averages, but averages must first be converted into totals using the numbers of values.

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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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