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A cricketer has a certain average for 10 innings. In the eleventh inning, he scored 108 runs, there by increasing his average by 6 runs. His new average is_____________?

Correct answer: A. 48 runs

  • A. 48 runs
  • B. 52 runs
  • C. 55 runs
  • D. 60 runs

Explanation

Let the original average be x runs, so the total for 10 innings was 10x runs. After scoring 108 runs, the new average is x + 6, giving 10x + 108 = 11(x + 6), so x = 42 and the new average is 48 runs. A student may choose 52 runs by adding 6 to an incorrectly estimated original 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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