Last updated at May 29, 2018 by Teachoo

Transcript

Misc 6 The mean and standard deviation of marks obtained by 50 students of a class in three subjects, Mathematics, Physics and Chemistry are given below: Which of the three subjects shows the highest variability in marks and which shows the lowest? To compare the variation, we have to calculate coefficient of variation Coefficient of variation(C.V.) = ๐บ๐๐๐๐ ๐๐๐ ๐ซ๐๐๐๐๐๐๐๐๏ทฎ๐ด๐๐๐๏ทฏ ร 100 For Chemistry Mean = 40.9 Standard deviation = 20 CV = ๐๐ก๐๐๐๐๐๐ ๐๐๐ฃ๐๐๐ก๐๐๐๏ทฎ๐๐๐๐๏ทฏ ร 100 = 20๏ทฎ40.9๏ทฏ ร 100 = 48.89 So, CVmaths = 28.57, CVphysics = 46.87, Cvchemistry = 48.89 Since chemistry has highest CV, it has highest variability & Mathematics has lowest CV, so it has lowest variability.

About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.