Question

The police lieutenant in charge of the traffic division reviews the number of traffic citations issued by each of the police officers in his division. He finds that the mean number of citations written by each officer is 23.2 citations per day, with a standard deviation of 3.1. Assume that the distribution of the number of tickets issued is approximately bell-shaped. The coefficient of variation for the number of citations is

Answer 1

`\sf \: 13.36\%`

Explanation:

The coefficient of variation (CV) is a measure of relative variability, which expresses the standard deviation as a percentage of the mean. It can be calculated as follows:

`\sf \: CV = (standard \: deviation)/(mean) * 100%`

In this case, the mean number of citations is 23.2, and the standard deviation is 3.1. Thus, the coefficient of variation is:

`\sf \: CV = (3.1)/(23.2) * 100%`

`\sf = 13.36\%`

Therefore, the coefficient of variation for the number of citations is approximately 13.36%.