For a sample data, mean = 27 and median = 34. For this distribution, the mode is:

34 38 42 48

48

The correct answer of the question is in the option: (4)   We know, Mode = 3 median - 2 mean Mean = 27, Median = 34 Mode  = 3 × 34 - 2 × 27= 102 - 54 = 48