# The sum of the squares deviations for 10 observations taken from their mean 50 is 250. The coefficient of variation is (a) 10 % (b) 40 % (c) 50 % (d) none of these - Mathematics

MCQ

The sum of the squares deviations for 10 observations taken from their mean 50 is 250. The coefficient of variation is

#### Options

• 10 %

• 40 %

•  50 %

• none of these

#### Solution

10 %

$\text{ We have } :$

$X = 50, n = 10$

$\sum^{10}_{i = 1} \left( x_i - X \right)^2 = 250$

$\therefore SD = \sqrt{\text{ Variance} of X}$

$= \sqrt{\frac{\sum^{10}_{i = 1} \left( x_i - X \right)^2}{n}}$

$= \sqrt{\frac{250}{10}}$

$= 5$

Using  $CV = \frac{\sigma}{X} \times 100$

$\Rightarrow CV = \frac{5}{50} \times 100$

$= 10$  %

Concept: Statistics - Statistics Concept
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#### APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 32 Statistics
Q 10 | Page 51