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# Chebyshev’s Theorem Based on Data Set 3, body temperatures

## Problem 44BSC Chapter 3.3

Elementary Statistics | 12th Edition

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Elementary Statistics | 12th Edition

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Problem 44BSC

Chebyshev’s Theorem Based on Data Set 3, body temperatures of healthy adults have a bell-shaped distribution with a mean of 98.20°F and a standard deviation of 0.62°F. Using Chebyshev’s theorem, what do we know about the percentage of healthy adults with body temperatures that are within 3 standard deviations of the mean? What are the minimum and maximum body temperatures that are within 3 standard deviations of the mean?

Step-by-Step Solution:

Step 1 of 1</p>

Given, body temperatures of healthy adults have a bell-shaped distribution with a mean of 98.200F and a standard deviation of 0.620F.

By using the empirical rule,

The percentage of healthy adults with body temperatures that are within 3 standard deviations of the mean

(1-(1/)2)% = (1-(1/3)2)%

= 88.88%

89%

At least 89% of the data is within 3 standard...

Step 2 of 3

Step 3 of 3

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