A) 10%
B) 20%
C) 30%
D) 40%
Correct Answer: A
Solution :
[a] \[\because \] Coefficient of variance \[=\frac{\sigma }{\overline{x}}\times 100\] \[\because x=\]mean of the observation \[\sigma =\]standard deviation \[\therefore \sigma =\sqrt{\frac{\sum {{(x-50)}^{2}}}{n}}=\sqrt{\frac{250}{10}}=\sqrt{25}=5.\] \[\therefore \]Coefficient of variance \[=\frac{\sigma }{\overline{x}}\times 100=\frac{5}{50}\times 100=10%\] Hence, option [a] is correct.
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