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      Question

      The mode and the mean of grouped data are 27.5 and 28.5

      respectively. Find the median, correct to two places of decimal, using empirical relation.
      A 9.83 Correct Answer Incorrect Answer
      B 19.83 Correct Answer Incorrect Answer
      C 28.17 Correct Answer Incorrect Answer
      D 27.17 Correct Answer Incorrect Answer

      Solution

      According to the question- Mode = 3Median - 2Mean 27.5 = 3Median - 2 x 28.5 27.5 = 3Median - 57 3Median = 57 + 27.5 3Median = 84.5 Median = 84.5/3 =28.17 The required median is 28.17.

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