If each of given $n$ observations is multiplied by a certain positive number $k$,then for the new set of observations -
- Avariance will be unchanged.
- Bnew variance will be $k$ times old variance.
- Cstandard deviation will be unchanged.
- Dnew standard deviation will be $k$ times old standard deviation.
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For a frequency distribution,the standard deviation is computed by:
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View SolutionAn analysis of monthly wages paid to workers in two firms $A$ and $B$,belonging to the same industry,gives the following results:
\text{Particulars} \text{Firm } $A$ \text{ and Firm } $B$ \text{No. of wage earners} $A: 586, B: 648$ \text{Mean of monthly wages} $A: Rs. 5253, B: Rs. 5253$ \text{Variance of wages} $A: 100, B: 121$
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| \text{Particulars} | \text{Firm } $A$ \text{ and Firm } $B$ |
| \text{No. of wage earners} | $A: 586, B: 648$ |
| \text{Mean of monthly wages} | $A: Rs. 5253, B: Rs. 5253$ |
| \text{Variance of wages} | $A: 100, B: 121$ |
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