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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