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If the mean and coefficient of variation of the marks of n students is 20 and 80 respectively. What will be the variance of them a) 256 b) 16 c) 25 d) none of these?
Most Upvoted Answer
If the mean and coefficient of variation of the marks of n students is...
Solution:
Given,
Mean (μ) = 20
Coefficient of Variation (CV) = 80%
We know that,
Coefficient of Variation (CV) = (Standard Deviation / Mean) × 100
Therefore,
Standard Deviation (σ) = (CV / 100) × Mean
σ = (80 / 100) × 20
σ = 16
Variance (σ^2) = Standard Deviation^2
σ^2 = 16^2
σ^2 = 256
Therefore, the variance of marks of n students is 256.
Answer: a) 256
Given,
Mean (μ) = 20
Coefficient of Variation (CV) = 80%
We know that,
Coefficient of Variation (CV) = (Standard Deviation / Mean) × 100
Therefore,
Standard Deviation (σ) = (CV / 100) × Mean
σ = (80 / 100) × 20
σ = 16
Variance (σ^2) = Standard Deviation^2
σ^2 = 16^2
σ^2 = 256
Therefore, the variance of marks of n students is 256.
Answer: a) 256
Community Answer
If the mean and coefficient of variation of the marks of n students is...
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If the mean and coefficient of variation of the marks of n students is 20 and 80 respectively. What will be the variance of them a) 256 b) 16 c) 25 d) none of these?
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If the mean and coefficient of variation of the marks of n students is 20 and 80 respectively. What will be the variance of them a) 256 b) 16 c) 25 d) none of these? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If the mean and coefficient of variation of the marks of n students is 20 and 80 respectively. What will be the variance of them a) 256 b) 16 c) 25 d) none of these? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the mean and coefficient of variation of the marks of n students is 20 and 80 respectively. What will be the variance of them a) 256 b) 16 c) 25 d) none of these?.
If the mean and coefficient of variation of the marks of n students is 20 and 80 respectively. What will be the variance of them a) 256 b) 16 c) 25 d) none of these? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If the mean and coefficient of variation of the marks of n students is 20 and 80 respectively. What will be the variance of them a) 256 b) 16 c) 25 d) none of these? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the mean and coefficient of variation of the marks of n students is 20 and 80 respectively. What will be the variance of them a) 256 b) 16 c) 25 d) none of these?.
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