Find the coefficient of variation for each of the two sets of data, then compare the variation. Round results to one
decimal place.
-The customer service department of a phone company is experimenting with two different systems. On Monday they try the first system which is based on an automated menu system. On Tuesday they try the
Second system in which each caller is immediately connected with a live agent. A quality control manager
Selects a sample of seven calls each day. He records the time for each customer to have his or her question
Answered. The times (in minutes)are listed below. $$\begin{array} { l l l l l l l l }
\text { Live agent: } & 6.3 & 2.5 & 4.8 & 4.1 & 3.4 & 5.2 & 3.7
\end{array}$$
A)Automated Menu: 43.7% Live agent: 29.4%
There is substantially more variation in the times for the automated menu system.
B)Automated Menu: 45.3% Live agent: 30.5%
There is substantially more variation in the times for the automated menu system.
C)Automated Menu: 46.9% Live agent: 31.5%
There is substantially more variation in the times for the automated menu system.
D)Automated Menu: 24.3% Live agent: 46.2%
There is substantially more variation in the times for the live agent.

Question

Find the coefficient of variation for each of the two sets of data, then compare the variation. Round results to one
decimal place.
-The customer service department of a phone company is experimenting with two different systems. On Monday they try the first system which is based on an automated menu system. On Tuesday they try the
Second system in which each caller is immediately connected with a live agent. A quality control manager
Selects a sample of seven calls each day. He records the time for each customer to have his or her question
Answered. The times (in minutes)are listed below. $$\begin{array} { l l l l l l l l } 
\text { Live agent: } & 6.3 & 2.5 & 4.8 & 4.1 & 3.4 & 5.2 & 3.7
\end{array}$$
A)Automated Menu: 43.7% Live agent: 29.4%
There is substantially more variation in the times for the automated menu system.
B)Automated Menu: 45.3% Live agent: 30.5%
There is substantially more variation in the times for the automated menu system.
C)Automated Menu: 46.9% Live agent: 31.5%
There is substantially more variation in the times for the automated menu system.
D)Automated Menu: 24.3% Live agent: 46.2%
There is substantially more variation in the times for the live agent.

Quizplus · Accepted Answer

The coefficient of variation (CV) is calculated as the standard deviation divided by the mean, expressed as a percentage. For the live agent data provided, the mean is $\frac{6.3 + 2.5 + 4.8 + 4.1 + 3.4 + 5.2 + 3.7}{7} = 4.3$ minutes. The standard deviation (using sample formula) can be calculated from the given data, and then the CV is the standard deviation divided by the mean, multiplied by 100. Without the data for the automated menu system, we cannot calculate its CV, but based on the options provided, we assume the calculations were done similarly for both systems. The correct answer must be inferred from the context given, which suggests comparing the variation between the two systems. Since the specific calculations for each system's CV are not provided in the question, and without the data for the automated menu system, we cannot directly calculate the CVs here. However, the correct choice is based on the information given in the options.

Find the Coefficient of Variation for Each of the Two Live agent: 6.32.54.84.13.45.23.7\begin{array} { l l l l l l l l } \text { Live agent: } & 6.3 & 2.5 & 4.8 & 4.1 & 3.4 & 5.2 & 3.7\end{array} Live agent: ​6.3​2.5​4.8​4.1​3.4​5.2​3.7​

Find the Coefficient of Variation for Each of the Two $\begin{array} { l l l l l l l l } \text { Live agent: } & 6.3 & 2.5 & 4.8 & 4.1 & 3.4 & 5.2 & 3.7\end{array}$