College

The following data represents the body temperature in degrees Fahrenheit of randomly selected adults:

98.3, 98.8, 98, 98.8, 98.3, 99, 98.1, 98.4, 99.4, 98.8, 99.3

Mean: 98.7
Standard Deviation: 0.5

Use the Empirical Rule to answer the following question:

What is the probability, in decimal form, of a body temperature less than 97.2?

Answer :

Answer:

To use the Empirical Rule, you can consider approximately 68% of the data falling within one standard deviation of the mean, 95% within two standard deviations, and 99.7% within three standard deviations.

Given the mean of 98.7 and a standard deviation of 0.5, the range for one standard deviation below the mean is \(98.7 - 0.5 = 98.2\).

Since 97.2 is below this range, it falls within the first standard deviation. Therefore, the probability of a body temperature less than 97.2 is approximately 0.68.

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