1. Statement of the problem: We are given the ungrouped frequency distribution with $x=5,6,7,8$ and corresponding frequencies $f=2,3,2,2$. 2. Formula and important rules: The range is defined as the difference between the maximum and minimum observations. $$\text{Range} = x_{\max} - x_{\min}$$ Choose the actual observed maximum and minimum values from the data; frequencies do not change them. 3. Intermediate work: Identify the maximum and minimum values from the list $5,6,7,8$. We have $x_{\max}=8$ and $x_{\min}=5$. Compute the difference using the formula. $$\text{Range} = 8 - 5 = 3$$ 4. Final answer: The range is $3$.