Answer:
Explanation:
(a) To find the number of students who did not like either sport, we can use the formula:
Total students = Students who like basketball + Students who like hockey - Students who like both sports + Students who like neither sport
We know that the total number of students surveyed is 30, and we also know the number of students who like basketball, hockey, and both sports. We can use this information to solve for the number of students who like neither sport:
30 = 13 + 18 - 4 + Students who like neither sport
Simplifying this equation, we get:
3 = Students who like neither sport
Therefore, there were 3 students who did not like either sport.
(b) To find the number of students who liked exactly one of the sports, we can subtract the number of students who liked both sports from the total number of students who liked at least one of the sports. We know that 13 students liked basketball, 18 students liked hockey, and 4 students liked both sports. To find the number of students who liked at least one sport, we can add the number of students who liked basketball and the number of students who liked hockey, but we need to make sure we don't count the 4 students who liked both sports twice:
Number of students who liked at least one sport = Students who like basketball + Students who like hockey - Students who like both sports
Number of students who liked at least one sport = 13 + 18 - 4 = 27
Therefore, the number of students who liked exactly one sport is:
Number of students who liked exactly one sport = Number of students who liked at least one sport - Number of students who liked both sports
Number of students who liked exactly one sport = 27 - 4 = 23
So there were 23 students who liked exactly one of the sports.