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Question

The upper quartile for the following distribution is given by the size of

  1. open parentheses fraction numerator 31 plus 1 over denominator 4 end fraction close parenthesesth item    
  2. open square brackets 2 open parentheses fraction numerator 31 plus 1 over denominator 4 end fraction close parentheses close square bracketsth item    
  3. open square brackets 3 open parentheses fraction numerator 31 plus 1 over denominator 4 end fraction close parentheses close square bracketsth item    
  4. open square brackets 4 open parentheses fraction numerator 31 plus 1 over denominator 4 end fraction close parentheses close square bracketsth item    

The correct answer is: open square brackets 3 open parentheses fraction numerator 31 plus 1 over denominator 4 end fraction close parentheses close square bracketsth item


    Upper Quartile = Size of open square brackets 3 fraction numerator left parenthesis n plus 1 right parenthesis over denominator 4 end fraction close square brackets to the power of t h end exponentitem
    = Size of open square brackets 3 open parentheses fraction numerator 31 plus 1 over denominator 4 end fraction close parentheses close square brackets to the power of t h end exponentitem, left square bracket because capital sigma f equals 31 right square bracket.

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