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  • Give answer! For a modern skeweddistribution, quartiledeviationand the standard are related

For a modern skewed distribution, quartile deviation and the standard are related

  • Option 1)

    S.D=\frac{2}{3}Q.D

  • Option 2)

    S.D=\frac{3}{2}QD

  • Option 3)

    S.D=\frac{3}{4}QD

  • Option 4)

    S.D=\frac{4}{3}QD

 

Answers (1)

best_answer

As learnt in

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

 

 

 

 

 

 ⇒3 x Quartile deviation = 2 x Standard deviation

 \therefore S.D = \frac{3}{2} \ QD 


Option 1)

S.D=\frac{2}{3}Q.D

This option is incorrect

Option 2)

S.D=\frac{3}{2}QD

This option is correct

Option 3)

S.D=\frac{3}{4}QD

This option is incorrect

Option 4)

S.D=\frac{4}{3}QD

This option is incorrect

Posted by

Aadil

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