Approximate the Variance and Standard Deviation of a Variable from Grouped

question 18

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) \(1.04 ^ { \circ } \mathrm { F }\)

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Definitions:

Independent Variables

Elements in an experiment or schematic that are altered or sorted to examine their influence on variables that rely on them.

Forecast

A prediction or estimate of future events or trends, often based on analysis of past and present data.

Seasonal Variation

Fluctuations in data or statistics that occur at the same period in each calendar year, often related to weather, holidays, or other cyclical events.

Seasonal Variation

The fluctuations in data or activity that occur at specific regular intervals due to seasonal factors, such as quarterly or annually.