If the mean of a data set is 20 and the standard deviation is 4, what is the coe

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Question: If the mean of a data set is 20 and the standard deviation is 4, what is the coefficient of variation?

Options:

Correct Answer: 25%

Solution:

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

If the mean of a data set is 20 and the standard deviation is 4, what is the coefficient of variation?

If the mean of a data set is 20 and the standard deviation is 4, what is the coefficient of variation?

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 times 100 equals 20.
Step 7: Conclude that the coefficient of variation is 20%.

Mean – The average of a data set, calculated by summing all values and dividing by the number of values.
Standard Deviation – A measure of the amount of variation or dispersion in a set of values.
Coefficient of Variation – A standardized measure of dispersion of a probability distribution or frequency distribution, calculated as the ratio of the standard deviation to the mean.