Question

university students were surveyed randomly on their opinion regarding a recent tuition increase. the minimum age recorded was 18 and the maximum age was 45. use the range rule of thumb to estimate the standard deviation of the ages.
(1 point)
6.8
27.0
31.5
7.9

Explanation:

Step1: Calculate the range

The range \(R\) is given by \(R=\text{Max}-\text{Min}\). Here, \(\text{Max} = 45\) and \(\text{Min}=18\), so \(R=45 - 18=27\).

Step2: Apply the range rule of thumb

The range rule of thumb states that \(s\approx\frac{R}{4}\) (where \(s\) is the standard - deviation estimate). Substituting \(R = 27\) into the formula, we get \(s\approx\frac{27}{4}=6.75\approx6.8\).

Answer:

6.8