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In an exam, Amir scored 64 percent, Masood scored 36 percent and asif 44 percent. The maximum score awarded in the exam is 800. Find the average mark scored by all the three boys?

Correct answer: A. 384

  • A. 384
  • B. 364
  • C. 324
  • D. 404

Explanation

The three scores are 64% of 800 marks = 512 marks, 36% of 800 marks = 288 marks, and 44% of 800 marks = 352 marks. Their total is 1152 marks, so the average is 1152 marks / 3 = 384 marks. A student may choose 364 marks by making an arithmetic error when adding the three converted scores.

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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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