Question

use the body temperatures, in degrees fahrenheit, listed in the accompanying table. the range of the data is 3.8°f. use the range - rule of thumb to estimate the value of the standard deviation. compare the result to the actual standard deviation of the data rounded to two decimal places, 0.74°f, assuming the goal is to approximate the standard deviation within 0.2°f.
the estimated standard deviation is □°f
(round to two decimal places as needed.)

Explanation:

Step1: Recall range - rule of thumb

The range - rule of thumb for estimating the standard deviation is $s\approx\frac{R}{4}$, where $R$ is the range of the data.

Step2: Substitute the given range

Given that $R = 3.8^{\circ}F$, then $s\approx\frac{3.8}{4}$.

Step3: Calculate the estimated standard deviation

$\frac{3.8}{4}=0.95^{\circ}F$.

Answer:

$0.95$