Question

a distribution of data has a maximum value of 96, a median value of 59.5, and a minimum of 23. use the range rule of thumb to estimate the standard deviation. round results to the nearest tenth.
(1 point)
14.6
36.5
18.3
9.7

Explanation:

Step1: Calculate the range

The range \(R\) is given by \(R=\text{Max}-\text{Min}\). Here, \(\text{Max} = 96\) and \(\text{Min}=23\), so \(R=96 - 23=73\).

Step2: Apply the range - rule - of - thumb formula

The range - rule - of - thumb formula for estimating the standard deviation \(s\) is \(s\approx\frac{R}{4}\). Substituting \(R = 73\) into the formula, we get \(s\approx\frac{73}{4}=18.25\).

Answer:

\(18.3\) (corresponding to the third option)