The mean of a data set is 50 and the standard deviation is 5. What is the coeffi

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Question: The mean of a data set is 50 and the standard deviation is 5. What is the coefficient of variation?

Options:

Correct Answer: 10%

Solution:

Coefficient of Variation = (Standard Deviation / Mean) * 100 = (5 / 50) * 100 = 10%.

The mean of a data set is 50 and the standard deviation is 5. What is the coefficient of variation?

The mean of a data set is 50 and the standard deviation is 5. What is the coefficient of variation?

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%.

Mean – The average value 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.