Question 3 - Examples - Chapter 13 Class 11 Statistics
Last updated at Dec. 16, 2024 by Teachoo
Last updated at Dec. 16, 2024 by Teachoo
Question 3 The following values are calculated in respect of heights and weights of the students of a section of Class XI : Can we say that the weights show greater variation than the heights? To compare the variation, we have to calculate coefficient of variation Coefficient of variation(C.V.) = 100 Variance of height = 127.69 cm2 Standard deviation of height = = 127.69 = 127.69 = 12769 100 = 113 2 10 2 = 113 10 2 = 113 10 = 11.3 cm Variance of weight = 23.1361 kg2 Standard deviation of weight ( weight) = = 23.1361 = 231361 10000 = 231361 10000 = 481 2 100 2 = 481 100 2 = 481 100 = 4.81 kg Now, calculating Coefficient of variation C.V. in height = 100 = 11.3 162.6 100 = 6.95 C.V. in weight = 100 = 4.81 52.36 100 = 9.18 Since, C.V. in weights is greater than the C.V. in heights Therefore, we can say that weights show more variability than heights
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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 and Computer Science at Teachoo