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Question

The following data gives the distribution of height of students The median of the distribution is

  1. 154    
  2. 155    
  3. 160    
  4. 161    

The correct answer is: 155


    Arranging the data in ascending order of magnitude, we obtain

    Here, total number of items is 41 i.e., an odd number.
    Hence, the median is fraction numerator 41 plus 1 over denominator 2 end fractionth i.e., 21st item.
    From cumulative frequency table, we find that median
    i.e., 21st item is 155,
    (All items from 16 to 22nd are equal, each 155).

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