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If the arithmetic mean of seventy five numbers is calculated, it is 35. If each number is increased by 5, then mean of new number is___________?

Correct answer: B. 40

  • A. 30
  • B. 40
  • C. 70
  • D. 90

Explanation

Adding 5 to every observation increases the arithmetic mean by exactly 5, because the same constant is added to every value. Therefore, the new mean is 35 + 5 = 40. A student may choose 30 by subtracting 5 instead of adding it.

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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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