Let, the coefficient of variation of two datasets be $50 $ and $75$ ,respectively and the corresponding variances be $25$ and $36$ ,respectively.Also let $x_1$ and $x_2$ denote the corresponding sample means. Then $x_1+x_2$ is ?

Question

Let, the coefficient of variation of two datasets be  $50 $  and  $75$  ,respectively and the corresponding variances be  $25$  and  $36$ ,respectively.Also let  $x_1$  and  $x_2$  denote the corresponding sample means. Then  $x_1+x_2$  is ?

cdquestions Admin · Accepted Answer

Given data: Let, the Co-efficient of variation of  1st data =  $CV_1=50$ Let, the Co-efficient of variation of  2nd data =  $CV_2=75$ and Variance  $(σ_1^{2})=25$  . So,  $ σ_1=5$         Variance  $(σ_2^{2})=36$  . So,  $ σ_1=6$ We know that, $CV_1=\dfrac{σ_1}{x_1} × 100$ $⇒ x_1=\dfrac{5}{CV_1} × 100$ $⇒ x_1=\dfrac{5}{50} × 100$ $⇒ x_1=10$ Similarly solving for 2nd data we get $⇒x_2=8$ Hence ,  $x_1+x_2=10+8=18$  (_Ans.)

Answer

$2$

Answer

$10$

Answer

$18$

Answer

$16$

Answer

$20$

Let, the coefficient of variation of two datasets be \(50 \) and \(75\) ,respectively and the corresponding variances be \(25\) and \(36\),respectively.Also let \(x_1\) and \(x_2\) denote the corresponding sample means. Then \(x_1+x_2\) is ?

The Correct Option is C

Solution and Explanation

Top Questions on Variance and Standard Deviation

Questions Asked in KEAM exam

Concepts Used:

Variance and Standard Deviation

Variance:

Variance Formula:

Standard Deviation:

Types of Standard Deviation:

Standard Deviation Formulas: