JEE Main · MathematicsHard

$If the sum of squares of deviations of 10 observations taken from their mean 50 is 250, then the coefficient of variation is:$

A. $10%$
B. $20%$
C. $5%$
D. $25%$

Show correct answer & step-by-step solution

Correct answer: A — $10%$

Solution

Variance σ^{2} = \frac{250}{10} = 25, so σ = 5 . The coefficient of variation is \frac{σ}{x ˉ} \times 100 = \frac{5}{50} \times 100 = 10% .

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If the sum of squares of deviations of 10 observations taken from their mean 50 … — JEE Main Mathematics Question with Solution |