To find the mean number of movies watched, you need to add up all the movies watched and then divide by the number of students.
First, we can sum the number of movies:
\[ 2 + 3 + 4 + 5 + 6 + 7 + 8 = 35 \]
Next, we count the number of students who recorded the number of movies:
There are 7 students.
Now, we can calculate the mean by dividing the total number of movies by the number of students:
\[ \text{Mean} = \frac{\text{Total number of movies}}{\text{Number of students}} = \frac{35}{7} = 5 \]
Therefore, the mean number of movies watched is 5.