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The average of runs of a cricket player of 10 innings was 32. How many runs must he make in his next innings so as to increase his average of runs by 4?

Correct answer: D. 76

  • A. 2
  • B. 4
  • C. 70
  • D. 76

Explanation

His first 10 innings totalled 10 x 32 = 320 runs. To average 36 runs after 11 innings, his total must be 11 x 36 = 396 runs, so the next innings must contribute 396 - 320 = 76 runs. A student may choose 70 by adding 4 to the old average instead of calculating the required new 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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