A County Has Three Clinics; the Weekly Number of Patients

A county has three clinics; the weekly number of patients seen by a nurse practitioner in each clinic is shown below. The director hires eleven new nurse practitioners; find the geometric mean of the upper and lower quotas for each clinic. Round to three decimal places, if necessary.
$\begin{array}{l|cccc}\text { Clinic } & \text { A } & \text { B } & \text { C } & \text { Total } \\\hline \text { Patients } & 467 & 624 & 566 & 1657\end{array}$

A)
$\begin{array}{l|ccc}\text { Clinic } & \mathrm{A} & \mathrm{B} & \mathrm{C} \\\hline \text { Geometric mean } & 3.464 & 4.472 & 3.464\end{array}$

B)
$\begin{array}{l|ccc}\text { Clinic } & \mathrm{A} & \mathrm{B} & \mathrm{C} \\\hline \text { Geometric mean } & 3.1 & 4.142 & 3.757\end{array}$

C)
$\begin{array}{l|ccc}\text { Clinic } & \text { A } & \text { B } & \text { C } \\\hline \text { Geometric mean } & 2.449 & 2.828 & 2.828\end{array}$

D)
$\begin{array}{l|ccc}\text { Clinic } & \text { A } & \text { B } & \text { C } \\\hline \text { Geometric mean } & 2.646 & 3 & 2.646\end{array}$