Question

use software or a calculator to find the range, variance, and standard deviation of the following body temperatures, in degrees fahrenheit, taken at 12:00 a.m.
click the icon to view the table of body temperatures.
the range of the data set is
(round to two decimal places as needed)
data table
98.8 98.3 98 97.9 98.9 98.1 98.1 98.3 97.9 98.5 98.3 98.6
98.7 96.8 97 99 97.4 97.4 98.6 97.6 97.9 98.2 98.3 97.2
99.1 96.9 98.9 99.1 99.7 97.6 97.8 97.7 97.9 99.2 99.2 99
98.4 98.2 98.5 98.9 97.3 98.5 98.1 98.4 97.9 98.2 98.5 98.3
98.4 98.9 98.2 98.7 96.7 97.7 98 96.7 98 96.7 97.9 98.3
97.5 97.8 97.8 97.5 98.2 98.6 98.4 98.8 97.6 97.9 96.6 97.6
99.7 98.4 98.7 98.7 98.3 98.7 98.8 98.2 98.4 98.7 98.8 98.2
98.2 99.1 98.6 99 98.5 98.2 97.2 97.6 98.4 98.3 97.3 97.4
98.5 99.4 97.6 98.3 98.7 97.7 98 97.7 98.3 96.8

Explanation:

Step1: Find the maximum and minimum values

First, identify the maximum value \(x_{max}\) and the minimum value \(x_{min}\) in the data set.
After looking at the data table, \(x_{max}=99.7\) and \(x_{min}=96.6\)

Step2: Calculate the range

The formula for the range \(R\) is \(R = x_{max}-x_{min}\)
Substitute the values: \(R=99.7 - 96.6=\$3.10\)

Answer:

\(3.10\)