If N = 10, X = 12 and σ X 2 I = 1530 , Then the Coefficient of Variation Is(A) 36% (B) 41% (C) 25% (D) None of These - Mathematics

MCQ

If n = 10, $X = 12$   and $\Sigma x_i^2 = 1530$ , then the coefficient of variation is

Options

• 36%

• 41%

•  25%

• none of these

Solution

25%
Standard deviation is expressed in the following manner:

$\sigma = \sqrt{\frac{1}{n} \sum_i {x_i}^2 - \left( X \right)^2}$

$= \sqrt{\frac{1530}{10} - \left( 12 \right)^2}$

$= \sqrt{9}$

$= 3$

$CV = \frac{\sigma}{X} \times 100$
$= \frac{3}{12} \times 100$
$= 25 %$ %

Concept: Statistics - Statistics Concept
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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 32 Statistics
Q 5 | Page 50
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