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KCET · Maths · Linear Programming

If the coefficient of variation and standard deviation are \( 60 \) and \( 21 \) respectively, the arithmetic
mean of distribution is

  1. A \( 30 \)
  2. B \( 21 \)
  3. C \( 60 \)
  4. D \( 35 \)
Verified Solution

Answer & Solution

Correct Answer

(D) \( 35 \)

Step-by-step Solution

Detailed explanation

We know that, coefficient of variation \(=\frac{\sigma}{\mu} \times 100 \%\)
\(\Rightarrow 60=\frac{21}{\mu} \times 100\), substitute the given values
\(\therefore \mu=\frac{2100}{60}=35\)