Advertisement Remove all ads

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

     
Advertisement Remove all ads

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
  Is there an error in this question or solution?
Advertisement Remove all ads

APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 32 Statistics
Q 5 | Page 50
Advertisement Remove all ads
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×