If 7 out of every 14 students like video games, that means half of the students like video games. To find the number of students who do not like video games, we can subtract the number of students who like video games from the total number of students.
Total students = 14
Students who like video games = 7
Students who do not like video games = Total students - Students who like video games = 14 - 7 = 7.
Now, to find the proportion of students who do not like video games, we can divide the number of students who do not like video games by the total number of students:
\[ \text{Proportion of students who do not like video games} = \frac{\text{Students who do not like video games}}{\text{Total students}} = \frac{7}{14} = \frac{1}{2}. \]
Thus, the proportion of students who do not like video games is \( \frac{1}{2} \) or 50%.
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