To identify the class width for the given relative frequency distribution, follow these steps:
1. Identify the Lower Bound of the First Class: Look at the first class interval provided, which is [tex]$50-69$[/tex]. The lower bound for this class interval is 50.
2. Identify the Lower Bound of the Second Class: Look at the second class interval provided, which is [tex]$70-89$[/tex]. The lower bound for this class interval is 70.
3. Calculate the Class Width: Subtract the lower bound of the first class from the lower bound of the second class:
[tex]\[
\text{Class Width} = 70 - 50
\][/tex]
4. Simplify the Calculation:
[tex]\[
\text{Class Width} = 20
\][/tex]
Thus, the class width for the given relative frequency distribution is 20.