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Given that the standard deviation of a given set of observations is 2.336 and the mean is 83.8. Find the coefficient of variation. (a) 2.79 (b) 2.69 (c) 2.89 (d) 2.59?
Most Upvoted Answer
Given that the standard deviation of a given set of observations is 2....
Coefficient of variation
= Standard deviation/Arithmetic mean × 100
= 2.336/83.8 × 100
= 2.79 (a)
= Standard deviation/Arithmetic mean × 100
= 2.336/83.8 × 100
= 2.79 (a)
Community Answer
Given that the standard deviation of a given set of observations is 2....
Calculation of Coefficient of Variation:
The coefficient of variation is a statistical measure that represents the ratio of the standard deviation to the mean. It is used to measure the relative variability and is expressed as a percentage.
The formula for calculating the coefficient of variation is as follows:
Coefficient of Variation = (Standard Deviation / Mean) * 100
To calculate the coefficient of variation, we need to have the standard deviation and mean of the given set of observations.
Given:
Standard Deviation = 2.336
Mean = 83.8
Substitute the given values into the formula:
Coefficient of Variation = (2.336 / 83.8) * 100
Calculate:
Coefficient of Variation = 2.79
Therefore, the coefficient of variation is 2.79.
Interpretation:
The coefficient of variation measures the relative variability of a dataset. In this case, a coefficient of variation of 2.79 indicates that the standard deviation is approximately 2.79% of the mean. This suggests that the dataset has a relatively low level of variability compared to the mean.
Conclusion:
The correct answer is (a) 2.79.
The coefficient of variation is a statistical measure that represents the ratio of the standard deviation to the mean. It is used to measure the relative variability and is expressed as a percentage.
The formula for calculating the coefficient of variation is as follows:
Coefficient of Variation = (Standard Deviation / Mean) * 100
To calculate the coefficient of variation, we need to have the standard deviation and mean of the given set of observations.
Given:
Standard Deviation = 2.336
Mean = 83.8
Substitute the given values into the formula:
Coefficient of Variation = (2.336 / 83.8) * 100
Calculate:
Coefficient of Variation = 2.79
Therefore, the coefficient of variation is 2.79.
Interpretation:
The coefficient of variation measures the relative variability of a dataset. In this case, a coefficient of variation of 2.79 indicates that the standard deviation is approximately 2.79% of the mean. This suggests that the dataset has a relatively low level of variability compared to the mean.
Conclusion:
The correct answer is (a) 2.79.
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Given that the standard deviation of a given set of observations is 2.336 and the mean is 83.8. Find the coefficient of variation. (a) 2.79 (b) 2.69 (c) 2.89 (d) 2.59?
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Given that the standard deviation of a given set of observations is 2.336 and the mean is 83.8. Find the coefficient of variation. (a) 2.79 (b) 2.69 (c) 2.89 (d) 2.59? 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 Given that the standard deviation of a given set of observations is 2.336 and the mean is 83.8. Find the coefficient of variation. (a) 2.79 (b) 2.69 (c) 2.89 (d) 2.59? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Given that the standard deviation of a given set of observations is 2.336 and the mean is 83.8. Find the coefficient of variation. (a) 2.79 (b) 2.69 (c) 2.89 (d) 2.59?.
Given that the standard deviation of a given set of observations is 2.336 and the mean is 83.8. Find the coefficient of variation. (a) 2.79 (b) 2.69 (c) 2.89 (d) 2.59? 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 Given that the standard deviation of a given set of observations is 2.336 and the mean is 83.8. Find the coefficient of variation. (a) 2.79 (b) 2.69 (c) 2.89 (d) 2.59? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Given that the standard deviation of a given set of observations is 2.336 and the mean is 83.8. Find the coefficient of variation. (a) 2.79 (b) 2.69 (c) 2.89 (d) 2.59?.
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