Chapter 3: Q44 (page 112)
Chebyshev鈥檚Theorem Based on Data Set 3 鈥淏ody Temperatures鈥 in Appendix B, body temperatures of healthy adults have a bell-shaped distribution with a mean of 98.20掳F and a standard deviation of 0.62掳F (using the data from 12 AM on day 2). Using Chebyshev鈥檚 theorem, what do we know about the percentage of healthy adults with body temperatures that are within 2 standard deviations of the mean? What are the minimum and maximum body temperatures that are within 2 standard deviations of the mean??
Short Answer
75% of adults have a body temperature within two standard deviations of the mean.
The maximum body temperature that falls within two standard deviations of the mean is equal to 99.44 , and the minimum body temperature that falls within two standard deviations of the mean is equal to 96.96 .