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The average of the marks of 12 students in a class is 36. If the marks of each student are doubled, find the new average?

Correct answer: A. 72

  • A. 72
  • B. 45
  • C. 37
  • D. 79

Explanation

Multiplying every student's marks by 2 multiplies the total marks, and therefore the average, by 2 as well. The new average is 36 x 2 = 72 marks. The likely trap is 45 marks, which comes from adding 9 rather than applying the stated doubling.

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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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