Maths-
General
Easy

Question

Compute the median from the following table

  1. 36.55    
  2. 35.55    
  3. 40.05    
  4. None of these    

The correct answer is: 36.55



    n equals sum f equals 159. Here n = 159, which is odd
    thereforeMedian numberequals fraction numerator 1 over denominator 2 end fraction left parenthesis n plus 1 right parenthesis equals fraction numerator 1 over denominator 2 end fraction left parenthesis 159 plus 1 right parenthesis equals 80,
    which is in the class 30-40. (see the row of cumulative frequency 95, which contains 80).
    Hence median class is 30-40.
    \ We have,
    l = Lower limit of median class = 30
    f = Frequency of median class = 45
    C = Total of all frequencies preceding median class
    = 50
    i = Width of class interval of median class = 10
    \ Required medianequals l plus fraction numerator fraction numerator N over denominator 2 end fraction minus C over denominator f end fraction cross times i
    equals 30 plus fraction numerator fraction numerator 159 over denominator 2 end fraction minus 50 over denominator 45 end fraction cross times 10 equals 30 plus fraction numerator 295 over denominator 45 end fraction equals 36.55.

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