MathematicsThe arithmetic mean and mode of a data are 24 and 12 respectively, Then the median of the data is

The arithmetic mean and mode of a data are 24 and 12 respectively, Then the median of the data is


  1. A
    20
  2. B
    18
  3. C
    21
  4. D
    22  

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    Solution:

    Given data,
    Mean is 24.
    Mode is 12.
    By using the empirical relation of mean, median and mode formula,
    Mode = 3Median - 2Mean
    3Median = Mode + 2Mean
     Median = Mode +2 Mean 3
    On substituting the values, we get,
    Median= 12+2 24 3 Median= 12+48 3 Median=20   Hence, the median value is 20.
    Therefore, option (1) is correct.
     
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