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A team of eight entered for a shooting competition. The best marks man scored 85 points. If he had scored 92 points, the average scores for. The team would have been 84. How many points altogether did the team score?

Correct answer: B. 665

  • A. 625
  • B. 665
  • C. 632
  • D. 656

Explanation

If the best marksman had scored 92 points, the team's total would have been 8 x 84 = 672 points. He actually scored 85 points, which is 7 points fewer, so the actual team total was 672 - 7 = 665 points. The likely mistake is choosing 672 points by failing to adjust the hypothetical total back to his actual score.

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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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