Use the range rule of thumb to estimate the standard deviation. Round results to the nearest tenth.
-The following is a set of data showing the water temperature in a heated tub at different time intervals.
$$\begin{array} { l l l l l l l l }
113.9 & 114.0 & 116.4 & 115.0 & 116.0 & 115.6 & 112.7 & 115.5
\end{array}$$
A) 1.2
B) -55.9
C) 0.7
D) 0.9

Question

Use the range rule of thumb to estimate the standard deviation. Round results to the nearest tenth.
-The following is a set of data showing the water temperature in a heated tub at different time intervals.
 $$\begin{array} { l l l l l l l l } 
113.9 & 114.0 & 116.4 & 115.0 & 116.0 & 115.6 & 112.7 & 115.5
\end{array}$$
A) 1.2
B) -55.9
C) 0.7
D) 0.9

Quizplus · Accepted Answer

The range is 116.4 - 112.7 = 3.7. The range rule of thumb is that the standard deviation is about 1/4 of the range, so the estimated standard deviation is 3.7 / 4 = 0.9.

Use the Range Rule of Thumb to Estimate the Standard 113.9114.0116.4115.0116.0115.6112.7115.5\begin{array} { l l l l l l l l } 113.9 & 114.0 & 116.4 & 115.0 & 116.0 & 115.6 & 112.7 & 115.5\end{array}113.9​114.0​116.4​115.0​116.0​115.6​112.7​115.5​

Use the Range Rule of Thumb to Estimate the Standard $\begin{array} { l l l l l l l l } 113.9 & 114.0 & 116.4 & 115.0 & 116.0 & 115.6 & 112.7 & 115.5\end{array}$