Question

What is the coefficient of variation of a sample that has a mean of 20 and standard deviation of 2

Answer 1

Answer:

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Explanation:

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Answer 2

The Coefficient of variation is 0.1

• The ratio of the standard deviation to the mean is known as the coefficient of variation (CV). The level of dispersion around the mean increases with the coefficient of variation. Typically, a percentage is used to express it. Without units, it enables comparison between value distributions whose measurement scales are incomparable.
• The CV links the standard deviation of the estimate to the value of the estimate when we are given estimated values. The estimate is more accurate the lower the coefficient of variation value.

Here, according to the given information, we are given that,

Mean = 20.

Also, standard deviation = 2.

Now, we know that,

Coefficient of variation = $\frac{Standard deviation}{Mean} .$

Putting the values, we get,

Coefficient of variation = $\frac{2}{20} = \frac{1}{10} = 0.1$

Hence, the Coefficient of variation is 0.1

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