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If the coefficient of variation and variance of a frequency distribution are 7.2 and 3.24 respectively, then its mean is
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Verified Answer
The correct answer is:
25
Given,
Coefficient of variation $=7.2$
Variance $\sigma^2=3.24$
Coefficient of variation $=\frac{\sigma}{\bar{\chi}} \times 100$
$7.2=\frac{\sqrt{3.24}}{\bar{x}} \times 100 \Rightarrow \bar{x}=\frac{1.8}{7.2} \times 100 \Rightarrow \bar{x}=25$
Hence, mean $=25$
Coefficient of variation $=7.2$
Variance $\sigma^2=3.24$
Coefficient of variation $=\frac{\sigma}{\bar{\chi}} \times 100$
$7.2=\frac{\sqrt{3.24}}{\bar{x}} \times 100 \Rightarrow \bar{x}=\frac{1.8}{7.2} \times 100 \Rightarrow \bar{x}=25$
Hence, mean $=25$
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