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On the five working days of a week a branch library issued 42, 56, 38, 61 and 53 books. On how many of those days was the number of books issued above the daily average?

Competition practiceAverages & Ages
  • A3
  • B2
  • C4
  • D1

Step-by-Step Solution

The five days total 42 + 56 + 38 + 61 + 53 = 250 books, so the daily average is 250/5 = 50. Comparing each day with 50, the days on 56, 61 and 53 are above it and the days on 42 and 38 are below, so 3 days clear the average. 2 counts only 56 and 61 and overlooks 53, which beats 50 by three books. 4 counts 42 as well, but 42 is eight books short of the average. 1 keeps only the largest day, as though only the top day could be above average - in fact an average can be beaten by most of a list, as it is here.
Answer: A) 3

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