Question 2 - Co-efficient of variation - Chapter 13 Class 11 Statistics

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Example 14 - Coefficient of variation are 60, 70, standard - Co-efficient of variation

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Question 2 - Chapter 15 Class 11 Statistics - NCERT Solution Coefficient of variation of two distributions are 60 and 70, and their standard deviations are 21 and 16, respectively. What are their arithmetic means. For first distribution Coefficient of variation(CV) = 60 Standard deviation = 21 We know that CV = (๐‘†๐‘ก๐‘Ž๐‘›๐‘‘๐‘Ž๐‘Ÿ๐‘‘ ๐‘‘๐‘’๐‘ฃ๐‘–๐‘Ž๐‘ก๐‘–๐‘œ๐‘›)/๐‘€๐‘’๐‘Ž๐‘› ร— 100 60 = 21/๐‘€๐‘’๐‘Ž๐‘› ร— 100 Mean = 21/60 ร— 100 Mean = 35 For second distribution Coefficient of variation(CV) = 70 Standard deviation = 16 We know that CV = (๐‘†๐‘ก๐‘Ž๐‘›๐‘‘๐‘Ž๐‘Ÿ๐‘‘ ๐‘‘๐‘’๐‘ฃ๐‘–๐‘Ž๐‘ก๐‘–๐‘œ๐‘›)/๐‘€๐‘’๐‘Ž๐‘› ร— 100 70 = 16/๐‘€๐‘’๐‘Ž๐‘› ร— 100 Mean = 16/70 ร— 100 Mean = 22.85

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