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In a data set, the mean is 10 and the standard deviation is 2. What is the coeff
In a data set, the mean is 10 and the standard deviation is 2. What is the coefficient of variation?
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In a data set, the mean is 10 and the standard deviation is 2. What is the coefficient of variation?
20%
10%
5%
15%
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Coefficient of Variation = (Standard Deviation / Mean) * 100 = (2/10) * 100 = 20%.
Questions & Step-by-step Solutions
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Q
Q: In a data set, the mean is 10 and the standard deviation is 2. What is the coefficient of variation?
Solution:
Coefficient of Variation = (Standard Deviation / Mean) * 100 = (2/10) * 100 = 20%.
Steps: 6
Show Steps
Step 1: Identify the mean of the data set, which is given as 10.
Step 2: Identify the standard deviation of the data set, which is given as 2.
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 = (2 / 10) * 100.
Step 5: Calculate the division: 2 divided by 10 equals 0.2.
Step 6: Multiply 0.2 by 100 to get the final result: 0.2 * 100 = 20.
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