Question

The Range Rule of Thumb roughly estimates the standard deviation of a data set as​ _______.

A. s equals StartFraction range Over 4 EndFraction .
B. s equals (mean )minus 2 times (standard deviation ).
C. s equals (mean )plus 2 times (standard deviation ).
D. s equals StartFraction range Over 2 EndFraction .

Answer 1

Answer:

Option A)

$s = \dfrac{\text{Range}}{4}$        

Step-by-step explanation:

Range Rule of Thumb

• The range Rule of thumb states that the range is four times the standard deviation.
• The standard deviation is a measure of dispersion.

$\text{Range = Maximum - Minimum}\\\text{s: Standard Deviation}\\\text{Range rule of Thumb:}\\\text{Range} = 4\times s\\\\s = \dfrac{\text{Maximum - Minimum}}{4}$

• Thus, the correct answer is

$s = \dfrac{\text{Range}}{4}$