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In a data set, the mean is 20 and the standard deviation is 4. What is the coeff
In a data set, the mean is 20 and the standard deviation is 4. What is the coefficient of variation?
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In a data set, the mean is 20 and the standard deviation is 4. What is the coefficient of variation?
20%
15%
10%
5%
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Coefficient of Variation = (Standard Deviation / Mean) * 100 = (4/20) * 100 = 20%.
Questions & Step-by-step Solutions
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Q
Q: In a data set, the mean is 20 and the standard deviation is 4. What is the coefficient of variation?
Solution:
Coefficient of Variation = (Standard Deviation / Mean) * 100 = (4/20) * 100 = 20%.
Steps: 7
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Step 1: Identify the mean of the data set, which is given as 20.
Step 2: Identify the standard deviation of the data set, which is given as 4.
Step 3: Use the formula for the coefficient of variation: Coefficient of Variation = (Standard Deviation / Mean) * 100.
Step 4: Substitute the values into the formula: Coefficient of Variation = (4 / 20) * 100.
Step 5: Calculate the division: 4 divided by 20 equals 0.2.
Step 6: Multiply the result by 100: 0.2 * 100 equals 20.
Step 7: Conclude that the coefficient of variation is 20%.
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