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A batsman makes a score of 64 runs in the 16th innings and thus increased his average by 3. Find his average after the 16th inning?

Correct answer: D. 19

  • A. 17
  • B. 29
  • C. 18
  • D. 19

Explanation

Let the average after 15 innings be x runs. Then the total before the 16th innings is 15x runs, and after scoring 64 runs the new average is x + 3 runs, so 15x + 64 = 16(x + 3). Solving gives x = 16 runs and the new average is 19 runs. The likely mistake is choosing 17 runs by applying the increase of 3 to the old average without using the changed total.

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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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