To find the mode of the given data, we'll look for the value in the "Marks" row that occurs most frequently according to the "Frequency" row. The mode is the number that appears with the highest frequency.
Here is the data provided:
[tex]\[
\begin{array}{|l|c|c|c|c|c|c|c|c|}
\hline
\text{Marks} & 8 & 9 & 10 & 11 & 12 & 13 & 14 & 15 \\
\hline
\text{Frequency} & 5 & 7 & 6 & 12 & 10 & 8 & 4 & 2 \\
\hline
\end{array}
\][/tex]
Steps to determine the mode:
1. List the frequencies: 5, 7, 6, 12, 10, 8, 4, 2
2. Identify the highest frequency: The highest frequency among these numbers is 12.
3. Determine the corresponding mark for this frequency: Looking at the table, the mark that corresponds to the highest frequency (12) is 11.
Therefore, the mode of the given data is:
[tex]\[
\boxed{11}
\][/tex]
