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  • Help me solve this If QD is 16 the most likely value of S.D will be

If QD is 16 the most likely value of S.D will be

  • Option 1)

    24

  • Option 2)

    42

  • Option 3)

    10

  • Option 4)

    None of These

 

Answers (1)

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

 

 

 

 

 

 We know that, S.D =  \frac{3}{2}QD

                                =\frac{3}{2} \times 16

                                =24


Option 1)

24

This option is correct

Option 2)

42

This option is incorrect

Option 3)

10

This option is incorrect

Option 4)

None of These

This option is incorrect

Posted by

Vakul

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