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      Question

      The mode and the mean of grouped data are 25 and 29.5

      respectively. Find the median, correct to two places of decimal, using empirical relation.
      A 28 Correct Answer Incorrect Answer
      B 24.5 Correct Answer Incorrect Answer
      C 26 Correct Answer Incorrect Answer
      D 23.5 Correct Answer Incorrect Answer

      Solution

      According to the question- Mode = 3Median - 2Mean 25 = 3Median - 2 x 29.5 25 = 3Median - 59 3Median = 59 + 25 3Median = 84 Median = 84/3 =28. The required median is 28.

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