Maths-
General
Easy

Question

The mean of following frequency table is 50.

The missing frequencies are

  1. 28, 24    
  2. 24, 36    
  3. 36, 28    
  4. None of these    

The correct answer is: 28, 24



    Therefore,
    stack x with minus on top equals fraction numerator 1 over denominator 120 end fraction capital sigma f x rightwards double arrow 50 equals fraction numerator 1 over denominator 120 end fraction cross times open parentheses 30 f subscript 1 end subscript plus 70 f subscript 2 end subscript plus 3480 close parentheses
    table row cell rightwards double arrow 600 equals 3 f subscript 1 end subscript plus 7 f subscript 2 end subscript plus 348 end cell row cell rightwards double arrow 3 f subscript 1 end subscript plus 7 f subscript 2 end subscript equals 252 end cell end table
    Also,
    table row cell f subscript 1 end subscript plus f subscript 2 end subscript plus 68 equals 120 end cell row cell rightwards double arrow f subscript 1 end subscript plus f subscript 2 end subscript equals 52 end cell end table
    Solving Eqs. (1) and (2), we get
    f subscript 2 end subscript equals 24 comma f subscript 1 end subscript equals 28

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