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The sum of five numbers is 655. The average of the first two numbers is 85 and the third number is 125. Find the average of the two numbers?

Correct answer: A. 180

  • A. 180
  • B. 170
  • C. 190
  • D. 175

Explanation

The first two numbers total 2 x 85 = 170, and adding the third number gives 170 + 125 = 295. The remaining two numbers therefore total 655 - 295 = 360, so their average is 360 / 2 = 180. The likely mistake is choosing 170 by treating the sum of the first two numbers as the required average.

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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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