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13.Statistics
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The sum of squares of deviations for $10$ observations taken from mean $50$ is $250$. The co-efficient of variation is.....$\%$
A
$50$
B
$10$
C
$40$
D
None of these
Solution
(b) ${\rm{S}}{\rm{.D}}{\rm{.}}$
$(\sigma ) = \sqrt {\frac{{250}}{{10}}} = \sqrt {25} = 5$
Hence, coefficient of variation $ = \frac{\sigma }{{{\rm{mean}}}} \times 100$
$ = \frac{5}{{50}} \times 100 = 10\%$.
Standard 11
Mathematics
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