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प्रश्न
If n = 10, \[X = 12\] and \[\Sigma x_i^2 = 1530\] , then the coefficient of variation is
पर्याय
36%
41%
25%
none of these
MCQ
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उत्तर
25%
Standard deviation is expressed in the following manner:
\[\sigma = \sqrt{\frac{1}{n} \sum_i {x_i}^2 - \left( X \right)^2}\]
\[ = \sqrt{\frac{1530}{10} - \left( 12 \right)^2}\]
\[ = \sqrt{9}\]
\[ = 3\]
\[CV = \frac{\sigma}{X} \times 100\]
\[ = \frac{3}{12} \times 100\]
\[ = 25 %\] %
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