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.

| Temperatures (°F) | Frequency |
|-------------------|-----------|
| 95.6-96.49 | 1 |
| 96.5-97.39 | 3 |
| 97.4-98.29 | 19 |
| 98.3-99.19 | 28 |
| 99.2-100.09 | 35 |
| 100.1-100.99 | 12 |
| 101.0-101.89 | 2 |

A) 1.031°F
B) 1.015°F
C) 1.04°F
D) 1.021°F

Calculating the standard deviation of the patient temperatures involves finding the mean of the temperatures, subtracting the mean from each temperature and squaring the result, then finding the mean of these squared differences, and taking the square root of that mean. While this is often done using statistical software or a calculator with statistical functions, without specific temperature readings, choosing the correct answer from the given list would be an educated guess.

Explanation:

The standard deviation in a dataset is a measure of the amount of variation or dispersion of the set of values. To calculate the standard deviation of the patient temperatures, you would need to 1) find the mean of the temperatures 2) subtract the mean from each temperature and square the result 3) find the mean of these squared differences 4) take the square root of that mean. However, given the complexity and potential inaccuracies involved, such calculations would likely need to be done via a statistical software program or using a calculator with statistical functions. Without specific temperature readings or the ability to calculate the standard deviation manually, choosing the correct answer from the provided options would involve an educated guess.

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