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If mean and coefficient of variation of the marks of n students is 20 and 80 respectively. What will be variance of them
- a)256
- b)16
- c)25
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
If mean and coefficient of variation of the marks of n students is 20 ...
Given, mean (μ) = 20 and coefficient of variation (CV) = 80%
We know that coefficient of variation (CV) = (standard deviation/mean) × 100
So, standard deviation (σ) = (CV/100) × mean
= (80/100) × 20
= 16
Now, we need to find the variance (σ^2) of n students.
We know that variance (σ^2) = (standard deviation)^2
So, variance (σ^2) = 16^2
= 256
Hence, the correct option is (a) 256.
We know that coefficient of variation (CV) = (standard deviation/mean) × 100
So, standard deviation (σ) = (CV/100) × mean
= (80/100) × 20
= 16
Now, we need to find the variance (σ^2) of n students.
We know that variance (σ^2) = (standard deviation)^2
So, variance (σ^2) = 16^2
= 256
Hence, the correct option is (a) 256.
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If mean and coefficient of variation of the marks of n students is 20 ...
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If mean and coefficient of variation of the marks of n students is 20 and 80 respectively. What will be variance of thema)256b)16c)25d)None of theseCorrect answer is option 'A'. Can you explain this answer?
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