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The mean of a data set is 50 and the standard deviation is 5. What is the coeffi
Practice Questions
Q1
The mean of a data set is 50 and the standard deviation is 5. What is the coefficient of variation?
5%
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Questions & Step-by-Step Solutions
The mean of a data set is 50 and the standard deviation is 5. What is the coefficient of variation?
Steps
Concepts
Step 1: Identify the mean of the data set, which is given as 50.
Step 2: Identify the standard deviation of the data set, which is given as 5.
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 = (5 / 50) * 100.
Step 5: Calculate the division: 5 divided by 50 equals 0.1.
Step 6: Multiply the result by 100: 0.1 times 100 equals 10.
Step 7: Conclude that the coefficient of variation is 10%.
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