If five out of every eleven students like Spiderman, that means the total number of students is 11. To find how many do not like Spiderman, we can subtract the number of students who like Spiderman from the total number of students.
Number of students who like Spiderman = 5
Total number of students = 11
Number of students who do not like Spiderman = Total number - Students who like Spiderman
= 11 - 5
= 6
Now, to find the proportion of students who do not like Spiderman, we divide the number of students who do not like Spiderman by the total number of students:
Proportion of students who do not like Spiderman = Number of students who do not like Spiderman / Total number of students
= 6 / 11
So, the proportion of students who do not like Spiderman is \( \frac{6}{11} \).