Q. 45.0( 4 Votes )

The following res

Answer :

(i) Both the factories pay the same mean monthly wages.


For factory A there are 560 workers. And for factory B there are 650 workers.


So, factory A totally pays as monthly wage = (5460 x 560) Rs.


= 3057600 Rs.


Factory B totally pays as monthly wage = (5460 x 650) Rs.


= 3549000 Rs.


That means, factory B pays a larger amount as monthly wages.


(ii) Mean wages of both the factories are the same, i.e., Rs. 5460.


To compare variation, we need to find out the coefficient of variation (CV).


We know, CV = , where SD is the standard deviation.


The variance of factory A is 100 and the variance of factory B is 121.


Now, SD of factory A =


And, SD of factory B =


Therefore,


The CV of factory A =


The CV of factory B =


Here,the CV of factory B is greater than the CV of factory A.


Hence, factory B shows greater variability.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

The sum and the sRS Aggarwal - Mathematics

If x1,RD Sharma - Mathematics

The mean and variRS Aggarwal - Mathematics

If the sum of theRD Sharma - Mathematics

The mean and stanRS Aggarwal - Mathematics

Following are theRD Sharma - Mathematics

The mean and variRS Aggarwal - Mathematics

The following resRS Aggarwal - Mathematics

Coefficient of vaRS Aggarwal - Mathematics

The following resRS Aggarwal - Mathematics