To determine the class limits of the third class in the given frequency distribution, we need to locate the third class and identify its lower and upper boundaries.
The provided frequency distribution is as follows:
[tex]\[
\begin{tabular}{rr}
\hline Class & Frequency \\
$1-9$ & 7 \\
$10-17$ & 11 \\
$18-25$ & 8 \\
$26-33$ & 5 \\
$34-41$ & 9 \\
$42-49$ & 6 \\
\hline
\end{tabular}
\][/tex]
By examining the table:
1. The first class interval is [tex]$1-9$[/tex].
2. The second class interval is [tex]$10-17$[/tex].
3. The third class interval is [tex]$18-25$[/tex].
4. The fourth class interval is [tex]$26-33$[/tex].
5. The fifth class interval is [tex]$34-41$[/tex].
6. The sixth class interval is [tex]$42-49$[/tex].
The third class interval is [tex]\(18-25\)[/tex].
So, the class limits of the third class are:
- The lower class limit: 18
- The upper class limit: 25
Therefore, the correct answer is:
C. lower limit: 18; upper limit: 25
