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43, 83, 54, 35, 77, x, y If the median of the set of numbers is 54 and the mean is 56, which of the following could be the values of x and y?

Correct answer: A. 41 and 59

  • A. 41 and 59
  • B. 65 and 72
  • C. 56 and 80
  • D. 21 and 52

Explanation

Known numbers in ascending order are; 35, 43, 54, 77, 83 For 54 to remain median, one of the x and y should be greater and other less than 54, as satisfied by option A. Further, we need to confirm if the mean is 56, if x= 41 and y= 59. 35, 41, 43, 54, 59, 77, 83 (35+41+43+54+59+77+83)/7 = 392/7=56

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About Quantitative Reasoning

Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.

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