If each observation in a data set for number of employees in different divisions is doubled then the coefficient of quartile deviation:

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SSC CGL Tier-II ( JSO ) 2021 Official Paper ( Held On: 10 August 2022 )
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  1. is also doubled
  2. is fourtimes of the original
  3. is halved
  4. remains same

Answer (Detailed Solution Below)

Option 4 : remains same
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Detailed Solution

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The correct answer is that it remains same.

Key Points 

 The formulae we need for solving the problem are as follows:

Here, since all the observations are doubled the value for Quartiles becomes:

This is the same value as the coefficient of quartile deviation when the values of the observation of the data set were unchanged.

Thus the correct answer is- If each observation in a data set for the number of employees in different divisions is doubled then the coefficient of quartile deviation remains same.

Additional Information

  •  The formula in this case used is for grouped data as the question specifically says observation of different employees for different departments.
  • The same result can be derived for ungrouped data as well.

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