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Question 2 - Co-efficient of variation - Chapter 13 Class 11 Statistics
Last updated at Dec. 16, 2024 by Teachoo
Chapter 13 Class 11 Statistics
Concept wise
- Mean deviation about mean - Ungrouped
- Mean deviation about mean - Discrete Frequency
- Mean deviation about mean - Continuous frequency distibution
- Mean deviation about median - Ungrouped
- Mean deviation about median - Discrete Frequency
- Mean deviation about median - Continuous frequency distibution
- Standard deviation and variance - Ungrouped data
- Standard deviation and variance - Discrete frequency (grouped data)
- Standard deviation and variance - Continuous frequency (grouped data)
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Co-efficient of variation
- Indirect questions - Multiplication of observation
- Indirect questions - finding remaining observations
- Indirect questions - Incorrect observation
Transcript
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 = (𝑆𝑡𝑎𝑛𝑑𝑎𝑟𝑑 𝑑𝑒𝑣𝑖𝑎𝑡𝑖𝑜𝑛)/𝑀𝑒𝑎𝑛 × 100 60 = 21/𝑀𝑒𝑎𝑛 × 100 Mean = 21/60 × 100 Mean = 35 For second distribution Coefficient of variation(CV) = 70 Standard deviation = 16 We know that CV = (𝑆𝑡𝑎𝑛𝑑𝑎𝑟𝑑 𝑑𝑒𝑣𝑖𝑎𝑡𝑖𝑜𝑛)/𝑀𝑒𝑎𝑛 × 100 70 = 16/𝑀𝑒𝑎𝑛 × 100 Mean = 16/70 × 100 Mean = 22.85
