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  • If the standard deviation of 0,1,2, 3............9 in K, the standard deviation of 10,11,12,13......19 is

If the standard deviation of 0,1,2, 3............9 in K, the standard deviation of 10,11,12,13......19 is

Answers (1)

Using

Standard Deviation -

In case of discrete frequency distribution 

\sigma = \sqrt{\frac{\sum f_{i}x_{i}^{2}}{\sum f_{i}}-\left ( \frac{\sum f_{i}x_{i}}{\sum f_{i}} \right )^{2}}

-

 

 Since, \sigma ^{2} = \frac{\sum \left ( x_{i} - \bar{x}\right )^{2}}{n}

and each data increases by \lambda \left ( \lambda =10 \right ) then there will be no change in standard deviation because \left ( x_{i}-\bar{x} \right ) will be same.

So, new standard deviation is K.

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