Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
120 views
in Statistics by (44.7k points)
closed by

The following results show the number of workers and the wages paid to them in two factories F1 and F2.

Factory A B
Number of workers 3600 3200
Mean wages Rs. 5300 Rs. 5300
Variance of distribution of wages 100 81

Which factory has more variation in wages?

1 Answer

+1 vote
by (42.5k points)
selected by
 
Best answer

Mean wages of both the factories are the same, i.e., Rs. 5300. 

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

We know, CV = , \(\frac{SD}{Mean}\times100\) where SD is the standard deviation. 

The variance of factory A is 100 and the variance of factory B is 81. 

Now, SD of factory A = \(\sqrt{100}\) = 10

And, SD of factory B =   \(\sqrt{81}\) = 9

Therefore, 

The CV of factory A =   \(\frac{10}{5300}\times100\) = 0.189

The CV of factory B = \(\frac{9}{5300}\times100\) = 0.169

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

Hence, factory A has more variation.

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...