In a data set, the mean is 20 and the standard deviation is 4. What is the coeff

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Question: In a data set, the mean is 20 and the standard deviation is 4. What is the coefficient of variation?

Options:

Correct Answer: 20%

Solution:

Coefficient of Variation = (Standard Deviation / Mean) * 100 = (4/20) * 100 = 20%.

In a data set, the mean is 20 and the standard deviation is 4. What is the coefficient of variation?

In a data set, the mean is 20 and the standard deviation is 4. What is the coefficient of variation?

Correct Answer: 20%

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%.

Coefficient of Variation – A measure of relative variability that expresses the standard deviation as a percentage of the mean.
Mean and Standard Deviation – Basic statistical measures that summarize the central tendency and dispersion of a data set.