Maths-
General
Easy

Question

The quartile deviation for the following data is

  1. 0    
  2. fraction numerator 1 over denominator 4 end fraction    
  3. fraction numerator 1 over denominator 2 end fraction    
  4. 1    

The correct answer is: 1


    N equals left parenthesis capital sigma f right parenthesis equals 20
    Q subscript 1 end subscript equals fraction numerator left parenthesis N plus 1 right parenthesis over denominator 4 end fraction t h observation equals open parentheses fraction numerator 21 over denominator 4 end fraction close parentheses to the power of t h end exponentobservation=3
    Similarly, Q subscript 3 end subscript equals 3 open parentheses fraction numerator N plus 1 over denominator 4 end fraction close parentheses   t h observation
    equals open parentheses fraction numerator 63 over denominator 4 end fraction close parentheses   t h observation = 5
    Now Q.D. equals fraction numerator 1 over denominator 2 end fraction open parentheses Q subscript 3 end subscript minus Q subscript 1 end subscript close parentheses equals fraction numerator 1 over denominator 2 end fraction open parentheses Q subscript 3 end subscript minus Q subscript 1 end subscript close parentheses equals fraction numerator 1 over denominator 2 end fraction left parenthesis 5 minus 3 right parenthesis equals 1.

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