For a set of observations, if the coefficient of variation is 25 and mean is 44 , then the variance is

For a set of observations, if the coefficient of variation is 25 and mean is 44 , then the variance is
  1. $11$
  2. $121$
  3. $110$
  4. $19$

Solution

Since, we know $\text { Co-efficient of variation }=\frac{\sigma}{|\bar{x}|} \times 100$ $\Rightarrow 25=\frac{\sigma}{44} \times 100 \Rightarrow \sigma=\frac{25 \times 44}{100} \Rightarrow \sigma=11$ Now, variance $=\sigma^2=11^2=121$

Asked in: AP EAMCET 2024 (18 May Shift 1)

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