Question

The state and local police departments are analyzing crime rates. Each month, they contact a random sample of individuals by phone. The sample size varies, with a mean sample size of 1,200. If the standard deviation of the sample size is 250, what is the coefficient of variation for the sample size?

Answer 1

To find the coefficient of variation for a sample size with a mean of 1,200 and a standard deviation of 250, calculate (250 / 1,200) × 100%, resulting in a CV of approximately 20.83%.

Step-by-step explanation:

The question asked involves the calculation of the coefficient of variation (CV) for a sample size with a known mean and standard deviation. The CV is the ratio of the standard deviation to the mean, expressed as a percentage. It is a measure of relative variability and is used to compare the spread of data points in different datasets.

To calculate the CV, we use the formula:

CV = (Standard Deviation / Mean) × 100%

In this case, the mean sample size is 1,200 and the standard deviation of the sample size is 250.

Using the formula, CV = (250 / 1,200) × 100%, we find that the coefficient of variation for the sample size is approximately 20.83%.