Approximate the Variance and Standard Deviation of a Variable from Grouped

Multiple Choice

Approximate the Variance and Standard Deviation of a Variable from Grouped Data
-On a recent day during the flu season, the Midtown Medical Clinic saw many patients. Patients had their temperatures taken (in °F) . The distribution of temperatures is given below. Determine the standard deviation of the temperatures of a sample of 100 patients. $\begin{array}{|c|c|}\hline \text { Temperatures } & \text { Frequency } \\\hline 95.6-96.49 & 1 \\\hline 96.5-97.39 & 3 \\\hline 97.4-98.29 & 19 \\\hline 98.3-99.19 & 28 \\\hline 99.2-100.09 & 35 \\\hline 100.1-100.99 & 12 \\\hline 101.0-101.89 & 2 \\\hline\end{array}$

A) $1.021 ^ { \circ } \mathrm { F }$
B) $1.031 ^ { \circ } \mathrm { F }$
C) $1.015 ^ { \circ } \mathrm { F }$
D) $1.04 ^ { \circ } \mathrm { F }$