Example 13 - Two plants A and B of a factory show results - Co-efficient of variation

Example 13  - Chapter 15 Class 11 Statistics - Part 2


Question 1 Two plants A and B of a factory show following results about the number of workers and the wages paid to them. In which plant, A or B is there greater variability in individual wages? To compare the variation, we have to calculate coefficient of variation Coefficient of variation(C.V.) = 100 Since, Average monthly wages are same (mean are equal) , we compare standard deviation of the distribution Variance in plant A = 81 Standard deviation in plant A = = 81 = 92 = 9 Variance in plant B = 100 Standard deviation in plant B = = 100 = 102 = 10 Since the average monthly wages in both the plants is same, i.e., Rs.2500, Therefore, the plant with greater standard deviation will have more variability. Thus, the plant B has greater variability in the individual wages.

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.