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Question 1 - Co-efficient of variation - Chapter 13 Class 11 Statistics
Last updated at April 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 1 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.) = 𝑺𝒕𝒂𝒏𝒅𝒂𝒓𝒅 𝑫𝒆𝒗𝒊𝒂𝒕𝒊𝒐𝒏𝑴𝒆𝒂𝒏 × 100 For Chemistry Mean = 40.9 Standard deviation = 20 CV = 𝑆𝑡𝑎𝑛𝑑𝑎𝑟𝑑 𝑑𝑒𝑣𝑖𝑎𝑡𝑖𝑜𝑛𝑀𝑒𝑎𝑛 × 100 = 2040.9 × 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.
