MathematicsIf the mode of a data is 45 and mean is 27. then find the median of the data.

If the mode of a data is 45 and mean is 27. then find the median of the data.


  1. A
    45
  2. B
    27
  3. C
    33
  4. D
    20.5 

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    Solution:

    Given that the mode of the data is 45 and the mean is 27.
    Empirical relationship between the mean, median and mode is 3 Median=Mode+2 Mean
    Thus, the median using an empirical relationship will be,
    3 Median=Mode+2 Mean
    3 Median=45+2 (27)
    3 Median=99
    Median=33
    Therefore, the median using an empirical relationship is 33.
    Hence, option 3 is correct.
     
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