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  • Need clarity, kindly explain! Quartiledeviationfor a frequencydistribution is

Quartile deviation for a frequency distribution is 

  • Option 1)

    Q=Q_{3}-Q_{1}

  • Option 2)

    Q=\frac{1}{2}\left ( Q_{3}-Q_{1} \right )

  • Option 3)

    Q=\frac{1}{3}\left ( Q_{3}-Q_{1} \right )

  • Option 4)

    Q=\frac{1}{4}\left ( Q_{2}-Q_{1} \right )

 

Answers (1)

best_answer

Using

QUARTILES, OCTILES, DECILES, PERCENTILES -

Measure

 formulae  Where    

Qr?????? 

= l+\frac{h}{f}\left ( \frac{rN}{4} -C\right )     

Qr = \frac{rN}{4}

 Or

 = l+\frac{h}{f}\left ( \frac{rN}{8} -C\right )

Or = \frac{rN}{8}

Dr 

 \dpi{80} = l+\frac{h}{f}\left ( \frac{rN}{10} -C\right )

Dr = \frac{rN}{10}

Pr 

 = l+\frac{h}{f}\left ( \frac{rN}{100} -C\right )

Pr = \frac{rN}{100}

 

                                          

 

                                          

 

                                                              

- wherein

 

 

 

 

 

 Since Q1, Q2, Q3, are three quartiles where Q1 is called as the lower and Q3 is upper quartile.

Then, (Q) Quartile deviation for a frequency distribution is Q = 1/2 (Q3 - Q1)


Option 1)

Q=Q_{3}-Q_{1}

This option is incorrect

Option 2)

Q=\frac{1}{2}\left ( Q_{3}-Q_{1} \right )

This option is correct

Option 3)

Q=\frac{1}{3}\left ( Q_{3}-Q_{1} \right )

This option is incorrect

Option 4)

Q=\frac{1}{4}\left ( Q_{2}-Q_{1} \right )

This option is incorrect

Posted by

divya.saini

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